Publications

2008

• Youzuo Lin and Brendt Wohlberg, "Application of the UPRE Method to Optimal Parameter Selection for Large Scale Regularization Problems", in IEEE Southwest Symposium on Image Analysis and Interpretation, (Santa Fe, NM, USA), pp. 89--92, Mar 2008
• Brendt Wohlberg and Chris Brislawn, "Symmetric Extension for Lifted Filter Banks and Obstructions to Reversible Implementation", Signal Processing, vol. 88, no. 1, doi:10.1016/j.sigpro.2007.07.010, pp. 131--145, Jan 2008
• Markus Berndt, Glen Hansen and David Moulton, "Efficient Nonlinear Solvers for Laplace-Beltrami Smoothing of Three-Dimensional Unstructured Grids ", Computers & Mathematics with Applications , vol. 55, pp. 2791-2806, 2008
• Emil Y. Sidky, Ingrid Reiser, Robert M. Nishikawa, Xiaochuan Pan, Rick Chartrand, Daniel B. Kopans and Richard H. Moore, "Practical iterative image reconstruction in digital breast tomosynthesis by non-convex TpV optimization ", in SPIE Medical Imaging, 2008
• Rick Chartrand, "Nonconvex compressive sensing and reconstruction of gradient-sparse images: random vs. tomographic Fourier sampling", Submitted, 2008
• Rick Chartrand and Valentina Staneva, "Restricted isometry properties and nonconvex compressive sensing", Submitted, 2008
• Rick Chartrand and Valentina Staneva, "A faster-converging algorithm for image segmentation with a modified Chan-Vese model", Submitted, 2008
• Rick Chartrand and Wotao Yin, "Iteratively reweighted algorithms for compressive sensing", in 33rd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008
• Rayan Saab, Rick Chartrand and Özgür Yilmaz, "Stable sparse approximations via nonconvex optimization", in 33rd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008
• Pawel Weronski, Yi Jiang and Steen Rasmussen, "Application of Molecular dynamics computer simulations in the design of a minimal self-replicating molecular machine", Complexity, vol. 13, pp. 10-17, 2008
• B. Philip and T. Chartier, "Adaptive Algebraic Smoothers", Los Alamos National Laboratory, 2008
• Pawel Weronski and Menachem Elimelech, "Novel Numerical Method for Calculating Initial Flux of Colloid Particle Adsorption Through an Energy Barrier", J. Colloid Interface Sci., vol. in press, 2008
• Zbigniew Adamczyk, Pawel Weronski and Jakub Barbasz, "Formation of Multilayered Structures in the Layer by Layer Deposition of Colloid Particles", J. Colloid Interface Sci., vol. 317, pp. 1-10, 2008

2007

• Brendt Wohlberg and Paul Rodríguez, "An Iteratively Reweighted Norm Algorithm for Minimization of Total Variation Functionals", IEEE Signal Processing Letters, vol. 14, no. 12, doi:10.1109/LSP.2007.906221, pp. 948--951, Dec 2007
• Daniel M. Tartakovsky, Brendt Wohlberg and Alberto Guadagnini, "Nearest neighbor classification for facies delineation", Water Resources Research, vol. 43, no. 7, W07201, doi:10.1029/2007WR005968, Jul 2007
• Chris Brislawn and Brendt Wohlberg, "Gain Normalization of Lifted Filter Banks", Signal Processing, vol. 87, no. 6, doi:10.1016/j.sigpro.2006.11.006, pp. 1281--1287, Jun 2007
• Luís M. A. Bettencourt, Aric A. Hagberg and Levi B. Larkey, "Separating the Wheat from the Chaff: Practical Anomaly Detection Schemes in Ecological Applications of Distributed Sensor Networks", in Distributed Computing in Sensor Systems (DCOSS 2007), (Santa Fe, NM USA), pp. 223--239, Jun 2007
• Brendt Wohlberg and Kevin Vixie, "Invariant Template Matching with Tangent Vectors", Optical Engineering, vol. 46, no. 3, pp. 037006, Mar 2007
• Milan Bradonjić, Aric Hagberg and Allon G. Percus, "Giant Component and Connectivity in Geographical Threshold Graphs", in Algorithms and Models for the Web-Graph (WAW 2007), (San Diego, CA USA), pp. 209--216, 2007
• Bradley Marts, David J. W. Simpson, Aric Hagberg and Anna L. Lin, "Period doubling in a periodically forced Belousov-Zhabotinsky reaction", Phys. Rev. E, vol. 76, pp. 026213, 2007
• Konstantin Lipnikov, Mikhail Shashkov, Daniil Svyatskiy and Yuri Vassilevski, "Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes", J. Comp. Phys. (accepted), 2007
• Franco Brezzi, Konstantin Lipnikov, Mikhail Shashkov and Valeria Simonchini, "A new discretization methodology for diffusion problems on generalized polyhedral meshes", Comput. Methods Appl. Mech. Engrg., vol. 196, pp. 3682-3692, 2007
• Konstantin Lipnikov and Yuri Vasilevski, "On discrete boundaries and solution accuracy in anisotropic adaptive meshing", Engrg. Computers (accepted), 2007
• Emil Y. Sidky, Rick Chartrand and Xiaochuan Pan, "Image reconstruction from few views by non-convex optimization", in IEEE Medical Imaging Conference Record, 2007
• Rick Chartrand and Valentina Staneva, "Nonconvex regularization for image segmentation", in International Conference on Image Processing, Computer Vision, and Pattern Recognition (IPCV), 2007
• Rick Chartrand, "Nonconvex regularization for shape preservation", in IEEE International Conference on Image Processing (ICIP), 2007
• Rick Chartrand, "Exact reconstructions of sparse signals via nonconvex minimization", IEEE Signal Process. Lett., vol. 14, pp. 707--710, 2007
• Rick Chartrand, "Nonconvex compressed sensing and error correction", in 32nd International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2007
• Rick Chartrand and Valentina Staneva, "A quasi-Newton method for total variation regularization of images corrupted by non-Gaussian noise", Submitted, 2007
• Rick Chartrand, Kevin R. Vixie, Brendt Wohlberg and Erik M. Bollt, "A gradient descent solution to the Monge-Kantorovich problem", Submitted, 2007
• Rick Chartrand, "Numerical differentiation of noisy, nonsmooth data", Submitted, 2007
• Triet Le, Rick Chartrand and Thomas J. Asaki, "A variational approach to reconstructing images corrupted by Poisson noise", J. Math. Imaging Vision, vol. 27, pp. 257--263, 2007
• Erik M. Bollt, Rick Chartrand, Selim Esedog̅lu, Peter F. Schultz and Kevin R. Vixie, "Graduated, adaptive image denoising: local compromise between total-variation and isotropic diffusion", To appear in Adv. Comput. Math., 2007
• Xin Zhou, Yi Jiang, Art Voter, Hans Ziock and Steen Rasmussen, "A method to bridge different-level coarse-grained models: Jump-in-sample simulations", in press J. Chem Phys., 2007
• Amy Bauer, Trachette Jackson and Yi Jiang, "Topography of Extracellular Matrix Mediates Vascular Morphogenesis and Migration Speeds", Submitted to Biophysical Journal, 2007
• Pawel Weronski, Yi Jiang and Steen Rasmussen, "Application of free energy perturbation approach for calculating adsorption energy of small PNA molecules at lipid-water interface", Submitted to Biophysial Journal, 2007
• Yilin Wu, Yi Jiang, Dale Kaiser and Mark Alber, "Type IV Pili Facilitate the Collective Motion of Bacteria: Modeling Myxobacterial Swarming", PLoS Computational Biology, vol. 3, pp. e253, 2007
• Jeremy Edwards, James Faeder, William Hlavacek, Yi Jiang, Ilya Nememan and Michael Wall, "Q-bio 2007: a watershed moment in modern biology", Molecular Systems Biology, vol. 3, pp. 148, 2007
• Xin Zhou and Yi Jiang, "A general long-time molecular dynamics scheme in atomistic systems: Hyperdynamics in entropy dominated systems", Lecture Notes in Computer Science, vol. 4487, pp. 826--833, 2007
• Yi Jiang, "A multiscale, cell-based framework for modeling cancer development", Lecture Notes in Computer Sciences, vol. 4487, pp. 770--777, 2007
• Christophe Raufaste, Benjamin Dollet, Simon Cox, Francois Graner and Yi Jiang, "Yield drag in a two-dimensional foam flow around a circular obstacle: the role of fluid fraction", European Physical Journal E, vol. 23, pp. 217--228, 2007
• Amy Bauer, Trachette Jackson and Yi Jiang, "A Cell-Based Model Exhibiting Branching and Anastomosis During Tumor-Induced Angiogenesis", Biophysical Journal , vol. 92, pp. 3105--3121, 2007
• Pawel Weronski, Yi Jiang and Steen Rasmussen, "Molecular Dynamics Studies of PNA Partitioning in Lipid Bilayers", Biophysical Journal , vol. 92, pp. 3081--3091, 2007
• Evelyn Lunasin, Susan Kurien, Mark A. Taylor and Edriss S. Titi, "A study of the two-dimensional Navier-Stokes-α model for two-dimensional turbulence", J. of Turb., vol. 8, 2007
• B. Philip, M. Pernice, W. Joubert and B. Lally, "A Comparison of Multilevel Preconditioners for Solving Multimaterial Equilibrium Radiation Diffusion Problems on Locally Refined Grids", Nuclear Weapons Highlights, ADTSC, pp. 96--97, 2007
• B. Philip, M. Pernice and L. Chacon, "Solution of Reduced Resistive Magnetohydrodynamics using Implicit Adaptive Mesh Refinement", in Proceedings of the 16th International Conference on Domain Decomposition Methods, 2007
• Rao Garimella, Milan Kucharik and Mikhail Shashkov, "An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes", Computers & Fluids, vol. 36, pp. 224--237, 2007
• Alexis J. de Kerchove, Pawel Weronski and Menachem Elimelech, "Deposition of Bacteria (Pseudomonas Aeruginosa) on "Soft" Polyelectrolyte Layer: Measurements and Model Predictions", Langmuir, vol. 23, pp. 12301-8, 2007
• Zbigniew Adamczyk, Pawel Weronski, Jakub Barbasz and Marta Kolasinska, "Modelling Self-Assembling of Colloid Particles in Multilayered Structures", Appl. Surf. Sci., vol. 253, pp. 5776-5780, 2007
• Pawel Weronski, " Effect of Electrostatic Interaction on Deposition of Colloid on Partially Covered Surfaces. II. Results of Computer Simulations", Colloids Surf. A, vol. 294, pp. 267-279, 2007
• Pawel Weronski, " Effect of Electrostatic Interaction on Deposition of Colloid on Partially Covered Surfaces. I. Model Formulation", Colloids Surf. A, vol. 294, pp. 254-266, 2007

2006

• Thomas J. Asaki, Patrick R. Campbell, Rick Chartrand, Collin E. Powell, Kevin R. Vixie and Brendt Wohlberg, "Abel inversion using total variation regularization: Applications", Inverse Problems in Science and Engineering, vol. 14, no. 8, pp. 873--885, Dec 2006
• Chris Brislawn and Brendt Wohlberg, "Symmetry-Preserving Lattice Vector Quantization for Reversible Half Sample Symmetric FIR Filter Bands", in Proceedings of the 2006 Asilomar Conference on Signals, Systems, and Computers, (Pacific Grove, CA, USA), pp. 878--882, Oct 2006
• Paul Rodríguez and Brendt Wohlberg, "An Iteratively Weighted Norm Algorithm for Total Variation Regularization", in Proceedings of the 2006 Asilomar Conference on Signals, Systems, and Computers, (Pacific Grove, CA, USA), pp. 892--896, Oct 2006
• Chris Brislawn and Brendt Wohlberg, "The polyphase-with-advance representation and linear phase lifting factorizations", IEEE Transactions on Signal Processing, vol. 54, no. 6 part 1, pp. 2022--2034, Jun 2006
• Alberto Guadagnini, Brendt Wohlberg, Daniel M. Tartakovsky and Michela de Simoni, "Support Vector Machines for delineation of geologic facies from poorly differentiated sedimentological data", in XVI International Conference on Computational Methods in Water Resources (CMWR XVI), (Copenhagen, Denmark), Jun 2006
• Brendt Wohlberg, Daniel M. Tartakovsky and Alberto Guadagnini, "Subsurface characterization with support vector machines", IEEE Transactions on Geoscience and Remote Sensing, vol. 44, no. 1, pp. 47--57, Jan 2006
• Aric Hagberg, Pieter J. Swart and Daniel A. Schult, "Designing threshold networks with given structural and dynamical properties ", Phys. Rev. E, vol. 74, pp. 056116, 2006
• Bradley Marts, Aric Hagberg, Ehud Meron and Anna L. Lin, "Resonant and non-resonant patterns in forced oscillators ", Chaos, vol. 16, pp. 037113, 2006
• Scott L. Collins, Luís M. A. Bettencourt, Aric Hagberg, Renee F. Brown, D. I. Moore, Greg Bonito, Kevin A. Delin, Shannon P. Jackson, David W. Johnson, Scott C. Burleigh, Richard R. Woodrow and J. Michael McAuley, "New opportunities in ecological sensing using wireless sensor networks", Frontiers in Ecology, vol. 4, pp. 402--407, 2006
• A. Hagberg, A. Yochelis, H. Yizhaq, C. Elphick, L. Pismen and E Meron, "Linear and Nonlinear Front Instabilities in Bistable Systems", Physica D, vol. 217, pp. 186--192, 2006
• Konstantin Lipnikov and Mikhail Shashkov, "The Error-Minimization-based strategy for moving mesh methods", Commun. Comput. Phys., vol. 1, no. 1, pp. 53-81, 2006
• Konstantin Lipnikov and Mikhail Shashkov, "The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods", Numer. Meth. for PDEs, vol. 22, pp. 617-637, 2006
• Franco Brezzi, Konstantin Lipnikov and Mikhail Shashkov, "Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces", M3AS: Mathematical Models and Methods in Applied Sciences, vol. 16, pp. 275-297, 2006
• Konstantin Lipnikov, Mikhail Shashkov and Daniil Svyatskiy, "The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes", J. Comput. Phys., vol. 211, pp. 473-491, 2006
• Konstantin Lipnikov and Yuri Vasilevski, "Analysis of Hessian recovery methods for generating adaptive meshes", in Proceedings of the 15th International Meshing Roundtable, Birmingham, AL, September 2006, pp. 163-171, 2006
• J. A. Green, C. Alexander, T. Asaki, J. Bacon, G. Blanpied, K. Borozdin, A. Canabal-Rey, M. Cannon, R. Chartrand, D. Clark, C. Espinoza, E. Figueroa, A. Fraser, M. Galassi, J. Gomez, J. Gonzales, A. Green, N. Hengartner, G. Hogan, A. Klimenko, P. McGaughey, G. McGregor, J. Medina, C. Morris, K. Mosher, C. Orum, F. Pazuchanics, W. Priedhorsky, A. Sanchez, A. Saunders, R. Schirato, L. Schultz, M. Sossong, M. Sottile, J. Tenbrink, R. Van de Water, K. Vixie and B. Wohlberg, "Optimizing the tracking efficiency for cosmic ray muon tomography", in 2006 IEEE Nuclear Science Symposium Conference Record, 2006
• Olga Sozinova, Yi Jiang, Dale Kaiser and Mark Alber, "A three-dimensional mdoel of myxobacterial fruiting body formation", Proceedings of National Academy of Sciences USA, vol. 103, pp. 17255--17259 , 2006
• Yilin Wu, Nan Chen, Mathew Rissler, Yi Jiang, Dale Kaiser and Mark Alber, "CA Models of Myxobacterial Swarming", Lecture Notes in Computer Science, vol. 4173, pp. 192-203, 2006
• Xin Zhou, Yi Jiang, Kurt Kramer, Steen Rasmussen and Hans Ziock, "Hyperdynamics for entropic systems: Time-space compression and pair correlation function approximation", Physical Review E Rapid Communication, vol. 74, pp. 035701(R), 2006
• Yi Jiang, Olga Sozinova and Mark Alber, "The collective behaviors of Myxobacteria", Advances in Complex Systems, vol. 9, pp. 353--368, 2006
• Yi Jiang, "Understanding a killer: A predictive model for tumor development", Contemporary Mathematics, vol. 410, pp. 173--185, 2006
• Susan Kurien, Leslie Smith and Beth Wingate, "On the two-point correlation of potential vorticity in rotating and stratified flows", J. Fluid Mech., vol. 555, pp. 131--140 , 2006
• Luis M. A. Bettencourt, Greg J. Stephens, Michael I. Ham and Guenter W. Gross, "The functional structure of cortical neuronal networks grown in vitro", LAUR-06-5040. Preprint available upon request, 2006
• Luis M. A. Bettencourt and Ruy M. Ribeiro, "Detecting early human transmission of H5N1 avian influenza", LAUR-06-2501. Preprint available by request only. , 2006
• Luis M. A. Bettencourt, Jose Lobo, Dirk Helbing, Christian Kuehnert and Geoffrey B. West, "Growth, innovation, scale and the pace of life in cities", LAUR-06-0064. Preprint available by request only. , 2006
• Luiz H. Gomes, Luis M. A. Bettencourt, Virgilio A. F Almeida, Jussara M. Almeida and Fernando D. O. Castro, "Quantifying social vs. antisocial behavior in email networks", Submitted to Physical Review E, 2006
• Luis M. A. Bettencourt, Ariel Cintron-Arias, David I Kaiser and Carlos Castillo Chavez, "The power of a good idea: Quantitative Modeling of the spread of ideas from Epidemiological models", Physica D, vol. 364, pp. 513-536, 2006
• Luis M. A. Bettencourt, Jose Lobo and D. Strumsky, "Invention in the City: Increasing Returns to Scale in Metropolitan Patenting", In print in Research Policy, 2006
• M. Pernice and B. Philip, "Solution of Equilibrium Radation Diffusion Problems Using Adaptive Mesh Refinement", SIAM J. Sci. Comput., vol. 27, no. 5, pp. 1709--1726, 2006
• Milan Kucharik, Richard Liska, Stanly Steinberg and Burton Wendroff, "Optimally-stable second-order accurate difference schemes for nonlinear conservation laws in 3D", Applied Numerical Mathematics, vol. 56, pp. 589--607, 2006
• Milan Kucharik, Jiri Limpouch and Richard Liska, "Cylindrical 2D ALE simulations of laser interactions with flyer targets", Czechoslovak Journal of Physics, vol. 56, pp. B522--B527, 2006
• Tomas Kapin, Milan Kucharik, Jiri Limpouch and Richard Liska, "Hydrodynamic simulations of laser interactions with low-density foams", Czechoslovak Journal of Physics, vol. 56, pp. B493--B499, 2006
• Milan Kucharik, Jiri Limpouch and Richard Liska, "Laser plasma simulations by Arbitrary Lagrangian Eulerian method", Journal de Physique IV, vol. 133, pp. 167-169, 2006
• Milan Kucharik, Richard Liska, Pavel Vachal and Mikhail Shashkov, "Arbitrary Lagrangian-Eulerian (ALE) methods in compressible fluid dynamics", in Programs and Algorithms of Numerical Mathematics 13 , pp. 178--183, 2006

2005

• S. Del Valle, H. Hethcote, J. M. Hyman and C. Castillo-Chavez, "Effects of behavioral changes in a smallpox attack model", Mathematical Biosciences, vol. 195, no. 2, pp. 228--251, Jun 2005
• J. M. Hyman and J. Li, "Differential susceptibility epidemic models", Journal of Mathematical Biology, vol. 50, no. 62, pp. 626--644, Jun 2005
• J. M. Hyman, "Patch dynamics for multiscale problems", Computing in Science & Engineering, vol. 7, no. 3, pp. 47--53, May 2005
• J. M. Hyman and J. Li, "The reproductive number for an HIV model with differential infectivity and staged progression", Linear Algebra and its Applications, vol. 398, pp. 101--116, Mar 2005
• Markus Berndt, Konstantin Lipnikov, Pavel Vachal and Mikhail Shashkov, "A Node Reconnection Algorithm for Mimetic Finite Difference Discretizations of Elliptic Equations on Triangular Meshes ", Communications in Mathematical Sciences, vol. 3, no. 4, pp. 665-680, 2005
• Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler and Ivan Yotov, "A Mortar Mimetic Finite Difference Method on Non-Matching Grids", Numerische Mathematik, vol. 102, no. 2, pp. 203-230, 2005
• Markus Berndt, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler and Ivan Yotov, "Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals", SIAM J. Numer. Anal., vol. 43, no. 4, pp. 1728-1749, 2005
• Markus Berndt, Thomas A. Manteuffel and Stephen F. McCormick, "Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II", SIAM J. Numer. Anal., vol. 43, no. 1, pp. 409-436, 2005
• Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick and Gerhard Starke, "Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I", SIAM J. Numer. Anal., vol. 43, no. 1, pp. 386-408, 2005
• D. Xiu and D. M. Tartakovsky, "Numerical methods for differential equations in random domains", Submitted to SIAM J. Sci. Comput., 2005
• M. Dentz, D. M. Tartakovsky, E. Abarca, A. Guadagnini, X. Sanchez-Vila and J. Carrera, "Perturbation analysis of variable density flow in porous media", Submitted to J. Fluid Mech., 2005
• V. A. Zlotnik and D. M. Tartakovsky, "Stream depletion by groundwater pumping from leaky aquifers", Submitted to Ground Water, 2005
• F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Noise in algorithm refinement methods", Comput. Sci. Eng., vol. 7, no. 3, pp. 32-38, 2005
• W. A. Illman and D. M. Tartakovsky, "Asymptotic analysis of three-dimensional pressure interference tests: A line-injection line-monitoring solution", to appear in Adv. Water Resour., 2005
• F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Algorithm refinement for stochastic partial differential equations: II. Correlated systems", J. Comp. Phys., vol. 207, no. 2, pp. 769-787, 2005
• W. A. Illman and D. M. Tartakovsky, "Asymptotic analysis of three-dimensional pressure interference tests: A point-source solution", Water. Resour. Res., vol. 41, no. W01002, doi:10.1029/2004WR003431, 2005
• Yu. N. Lazarev, P. V. Petrov and D. M. Tartakovsky, "Interface dynamics in randomly heterogeneous porous media", Adv. Water Resour., vol. 28, no. 4, pp. 393-403, 2005
• G. Chowell, A. L. Rivas, N. W. Hengartner, J. M. Hyman and C. Castillo-Chavez, "The Role of Spatial Mixing in the Spread of Foot-and-Mouth Disease", Preprint: LA-UR-04-5400, 2005
• G. Chowell, E. Shim, F. Brauer, P. Diaz-Duenas, J. M. Hyman and C. Castillo-Chavez, "An epidemic model for Acute Hemorrhagic Conjunctivitis: Application to a 2003 outbreak in Mexico", Preprint: LA-UR-04-7961, 2005
• G. Chowell, J. M. Hyman, P. Diaz-Duenas and N. W. Hengartner, "Predicting scorpion sting incidence in an endemic region using climatiological variables", Preprint: LA-UR-05-0681, 2005
• Aric Hagberg, Bradley Marts, Anna L. Lin and Ehud Meron, "Bloch-Front Turbulence: Theory and Experiments ", Physica A, vol. 356, pp. 88--94, 2005
• Arik Yochelis, Christian Elphick, Aric Hagberg and Ehud Meron, "Frequency locking in extended systems: the impact of a Turing mode", Europhys. Lett., vol. 69, pp. 170--176, 2005
• Franco Brezzi, Konstantin Lipnikov and Mikhail Shashkov, "Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes", SIAM J. Numer. Anal., vol. 43, pp. 1872-1896, 2005
• Franco Brezzi, Konstantin Lipnikov and Valeria Simoncini, "A family of mimetic finite difference methods on polygonal and polyhedral meshes", Mathematical Models and Methods in Applied Sciences, vol. 15, no. 10, pp. 1533-1552, 2005
• Vadim Dyadechko, Konstantin Lipnikov and Yuri Vassilevski, "Hessian based anisotropic mesh adaptation in domains with discrete boundaries", Russian J. Numer. Analysis Math. Modelling, vol. 20, no. 4, pp. 391-402, 2005
• Konstantin Lipnikov and Yuri Vassilevski, "Error bounds for controllable adaptive algorithms based on a Hessian recovery", Computational Mathematics and Mathematical Physics, vol. 45, no. 8, pp. 1374-1384, 2005
• P. B. Bochev and J. M. Hyman, "Applications of Algebraic Topology to Compatible Spatial Discretizations", Proceedings from the 5LC 2005. Preprint: LA-UR-05-4619, 2005
• Pavel B. Bochev and James M. Hyman, "Principles of Mimetic Discretizations of Differential Operators", Preprint: LA-UR-05-4244, 2005
• K. R. Grazier, W. I. Newman, David J. Goldstein, James M. Hyman and Philip W. Sharp, "Brouwer's Law: Optimal Multistep Integrators for Celestial Mechanics", Preprint: LA-UR-05-2277, 2005
• T. J. Asaki, R. Chartrand, K. R. Vixie and B. Wohlberg, "Abel inversion using total-variation regularization", Inverse Problems, vol. 21, no. 6, pp. 1895--1903, 2005
• Konstantin Borozdin, Thomas Asaki, Rick Chartrand, Mark Galassi, Andrew Green, Nicolas Hengartner, Gary Hogan, Alexei Klimenko, Christopher Morris, William Priedhorsky, Alexander Saunders, Richard Schirato, Larry Schultz and Matthew Sottile, "Cosmic-ray muon tomography and its application to the detection of high-Z materials", in Proceedings of the 46th Annual Meeting, Institute of Nuclear Materials Management, 2005
• Jinsuo Zhang, Yi Jiang, Steen Rasmussen and Hans Ziock, "Lipid aggregation as a function of aggregation number", Preprint: LA-UR-05-5480, 2005
• Yi Jiang, Jelena Pjesivac, Charles Cantrell and James Freyer, "A Multiscale Model for Avascular Tumor Growth ", Biophysical Journal , vol. 89, pp. 3873--3883, 2005
• Olga Sozinova, Yi Jiang, Dale Kaiser and Mark Alber, "A Three-Dimensional Model of Myxobacterial Aggregation by Contact-mediated Interactions ", Proceedings of the National Academy of Science USA , vol. 102 , pp. 11308-11312, 2005
• Shiyi Chen, Brindesh Dhruva, Susan Kurien, Katepalli R. Sreenivasan and Mark Taylor, "Anomalous scaling of low-order structure functions of turbulent velocity", J. Fluid Mech., vol. 533, pp. 183--182, 2005
• Susan Kurien and Mark Taylor, "Direct Numerical Simulation of Turbulence: Data Generation and Statistical Analysis", Los Alamos Science, vol. 29, pp. 142--151, 2005
• Darryl Holm, Daniel Livescu, Christoper Jeffery, Susan Kurien, Mark Taylor and Beth Wingate, "The LANS-α model for computing turbulence: Origins, Results and Open Problems", Los Alamos Science, vol. 29, pp. 152--171, 2005
• Luiz H. Gomes, Rodrigo Almeida, Luis M. A. Bettencourt, Virgilio Almeida and Jussara Almeida, "Improving Spam Detection Based on Structural Similarity", in Proceedings of CEAS 2005, Second Conference on Email and Anti-Spam, July 21-22,Sanford University, Mountain View, CA, 2005
• Luiz H. Gomes, Fernando D. O Castro, Rodrigo B. Almeida, Luis M. A. Bettencourt, Virgilio A. F. Almeida and Jussara M. Almeida, "Improving Spam Detection Based on Structural Similarity", in Proceedings of SRUTi '05, Steps to Reducing Unwanted Traffic on the Internet Workshop, July 7, 2005, Cambridge MA., pp. 85-91, 2005
• Luis M. A. Bettencourt, "Analysis of Current Marburg virus hemorrhagic fever outbreak in Angola", Submitted to Emerging Infectious Diseases, 2005
• Pawel Weronski, "Application of the Extended RSA Models in Studies of Particle Deposition at Partially Covered Surfaces", Adv. Colloid Interface Sci., vol. 118, pp. 1-24, 2005

2004

• Chris Brislawn and Brendt Wohlberg, "Lifted linear phase filter banks and the polyphase-with-advance representation", in Proceedings of the 11th IEEE Digital Signal Processing Workshop, (Taos, NM, USA), pp. 29--33, Aug 2004
• G. Chowell, C. Castillo-Chavez, P. W. Fenimore, C. M. Kribs-Zaleta, L. Arriola and J. M. Hyman, "Model parameters and outbreak control for SARS", Emerging Infectious Diseases, vol. 10, no. 7, pp. 1258--1263, Jul 2004
• Weiye Li and J. M. Hyman, "Computer arithmetic for probability distribution variables", Reliability Engineering & System Safety, vol. 85, no. 1-3, pp. 191--209, Jul 2004
• D. M. Tartakovsky and D. Xiu, "Uncertainty quantification for flow in highly heterogeneous porous media", in Proceedings of the XV International Conference "Computational Methods in Water Resources (CMWR 2004)", (Chapel Hill, North Carolina), pp. 695-704, Jun 2004
• D. M. Tartakovsky, A. Guadagnini, X. Sanchez-Vila, M. Dentz and J. Carrera, "A perturbation solution to the transient Henry problem for seawater intrusion", in Proceedings of the XV International Conference "Computational Methods in Water Resources (CMWR 2004)", (Chapel Hill, North Carolina), pp. 1573-1582, Jun 2004
• J. M. Hyman and S. Steinberg, "The convergence of mimetic discretization for rough grids", Computers & Mathematics with Applications, vol. 47, no. 10-11, pp. 1565--1610, May 2004
• R. V. Garimella, M. J. Shashkov and P. M. Knupp, "Triangular and Quadrilateral Surface Mesh Quality Optimization using Local Parametrization", Computer Methods in Applied Mechanics and Engineering, vol. 193, no. 9-11, pp. 913-928, Mar 2004
• Travis Austin and Thomas Manteuffel, "A Least-Squares Method for the Linear Boltzmann Equation with Anisotropic Scattering: Theoretical Results", LA-UR-04-2325 submitted to SINUM, 2004
• Travis Austin, Thomas Manteuffel and Steve McCormick, "A robust multilevel approach for minimizing H(div)-dominated functionals in an H1-conforming finite element space", Numerical Linear Algebra , vol. 11, pp. 115-140, 2004
• Travis Austin, Markus Berndt and David Moulton, "A memory efficient parallel tridiagonal solver", Preprint LA-UR-03-4149, 2004
• D. M. Tartakovsky and B. E. Wohlberg, "Delineation of geologic facies with statistical learning theory", Geophys. Res. Lett., vol. 31, no. 18, L18502, doi:10.1029/2004GL020864, 2004
• D. Xiu and D. M. Tartakovsky, "A two-scale non-perturbative approach to uncertainty analysis of diffusion in random composites", SIAM J. Multiscale Model. Simul., vol. 2, no. 4, pp. 662-674, 2004
• D. M. Tartakovsky and A. Guadagnini, "Effective properties of random composites", SIAM J. Sci. Comp., vol. 26, no. 2, pp. 625-635, 2004
• L. Guadagnini, A. Guadagnini and D. M. Tartakovsky, "Probabilistic reconstruction of geologic facies", J. Hydrol., vol. 294, pp. 57-67, 2004
• M. Ye, S. P. Neuman, Alberto Guadagnini and D. M. Tartakovsky, "Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly heterogeneous porous media", Water Resour. Res., vol. 40, no. W05104, doi:10.1029/2003WR002099, 2004
• A. M. Tartakovsky, L. Garcia-Naranjo and D. M. Tartakovsky, "Transient flow in a heterogeneous vadose zone with uncertain parameters", Vadose Zone J., vol. 3, no. 1, pp. 154-163, 2004
• L. Guadagnini, A. Guadagnini and D. M. Tartakovsky, "A geostatistical model for distribution of facies in highly heterogeneous aquifers", in Proceedings of the 4th European Conference on Geostatistics for Environmental Applications (geoENV-2002), (Barcelona, Spain, November 27-29, 2002), pp. 211-222, 2004
• G. Chowell, N. W. Hengartner, C. Castillo-Chavez, P. W. Fenimore and J. M. Hyman, "The basic reproductive number of Ebola and the effects of public health measures: the cases of Congo and Uganda", Journal of Theoretical Biology, vol. 229, no. 1, pp. 119--126, 2004
• Bradley Marts, Aric Hagberg, Ehud Meron and Anna L. Lin, "Bloch-front turbulence in a periodically forced Belousov-Zhabotinsky reaction", Phys. Rev. Lett., vol. 93, pp. 108305, 2004
• Arik Yochelis, Christian Elphick, Aric Hagberg and Ehud Meron, "Two-phase resonant patterns in forced oscillatory systems", Physica D, vol. 199, pp. 201--222, 2004
• Anna L. Lin, Aric Hagberg, Ehud Meron and Harry L. Swinney, "Resonance tongues and patterns in periodically forced reaction-diffusion systems", Phys. Rev. E, vol. 69, pp. 066217, 2004
• Yuri Kuznetsov, Konstantin Lipnikov and Mikhail Shashkov, "Mimetic finite difference method on polygonal meshes for diffusion-type problems", Comp. Geosciences, vol. 8, no. 4, pp. 301-324, 2004
• Konstantin Lipnikov, Jim Morel and Mikhail Shashkov, "Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes", J. Comp. Phys., vol. 199, pp. 589-597, 2004
• Konstantin Lipnikov and Yuri Vasilevski, "On control of adaptation in parallel mesh generation", Engrg. Computers, vol. 20, pp. 193-201, 2004
• Konstantin Lipnikov and Yuri Vasilevski, "Error estimates for Hessian-based mesh adaptation algorithms with control of adaptavity", in Proceedings of the 13th International Meshing Roundtable, Williamsburg, Virginia, 19-22 September 2004, pp. 345-351, 2004
• Konstantin Lipnikov and Yuri Vasilevski, "On a parallel algorithm for controlled Hessian-based mesh adaptation", in Proceedings of the 3rf Conference on Applied Geometry, Mesh Generation and High Performance Computing, Moscow, June 2004, pp. 154-166, 2004
• R. Abgrall, R. Loubère and J. Ovadia, "A Lagrangian Discontinuous Galerkin type method on unstructured meshes to solve hydrodynamics problems", Int.J.Num.Meth.Fluids, 2004
• J. Li, Y. C. Zhou, Z. Ma and J. M. Hyman, "Epidemiological models for mutating pathogens", SIAM Journal on Applied Mathematics, vol. 65, no. 1, pp. 1--23, 2004
• J. M. Hyman and J. Li, "The Reproductive Number for an HIV Model with Differential Infectivity and Staged Progression", Preprint: LA-UR-04-6034, 2004
• Y. A. Li, J. M. Hyman and W. Y. Choi, "A numerical study of the exact evolution equations for surface waves in water of finite depth", Studies in Applied Mathematics, vol. 113, no. 3, pp. 303--324, 2004
• P. Vachal, R. V. Garimella and M. J. Shashkov, "Untangling of 2D meshes in ALE simulations", Journal of Computational Physics, vol. 196, no. 2, pp. 627-644, 2004
• R. V. Garimella and M. J. Shashkov, "Polygonal Surface Mesh Improvement", Engineering with Computers, vol. 20, pp. 265-272, 2004
• R. V. Garimella, "MSTK: A Flexible Infrastructure Library for Developing Mesh-based Applications", in Proceedings of the 13th International Meshing Roundtable, Williamsburg, VA., 2004
• K. Borozdin, T. Asaki, R. Chartrand, N. Hengartner, G. Hogan, C. Morris, W. Priedhorsky, R. Schirato, L. Schultz, M. Sottile, K. Vixie, B. Wohlberg and G. Blanpied, "Information extraction from muon radiography data", in ISAS/CITSA 2004: International Conference on Cybernetics and Information Technologies, Systems and Applications and 10th International Conference on Information Systems Analysis and Synthesis, Vol 2, Proceedings: Communications, Information and Control Systems, Technologies and Applications, pp. 27--30, 2004
• Maria A. Kiskowski, Yi Jiang and Mark Alber, "Role of streams in myxobacteria aggregate formation ", Physical Biology , vol. 1, pp. 173-183, 2004
• Mark Alber, Maria A. Kiskowski and Yi Jiang, "Two-Stage Aggregate Formation via Streams in Myxobacteria", Physical Review Letters , vol. 93, pp. 068192, 2004
• Mark Alber, Maria Kiskowski, Yi Jiang and Stuart Newman, "Biological Lattice Gas Models", in Dynamics and Bifurcation of Patterns in Dissipative Systems, World Scientific Series on Nonlinear Science, Volume 12 , pp. 272-291, 2004
• Mark Alber, Maria Kiskowski and Yi Jiang, "Lattice Gas Cellular Automata Model For Rippling in Myxobacteria", Physica D , vol. 191, pp. 343 , 2004
• Susan Kurien, Mark Taylor and Takeshi Matsumoto, "Parity-breaking statistics in turbulence simulations: the 2/15-law", J. Fluid Mech., vol. 515, pp. 87, 2004
• Konstantinos Aivalis, Susan Kurien, Joerg Schumacher and Katepalli R. Sreenivasan, "Sign-symmetry of temperature structure functions", Phys. Rev. E, vol. 69, pp. 066315, 2004
• Susan Kurien, Mark A. Taylor and Takeshi Matsumoto, "Cascade time-scales of energy and helicity in homogeneous, isotropic turbulence", Phys. Rev. E, vol. 69, pp. 066313, 2004
• Yoav Bergner and Luis M. A. Bettencourt, "Self-consistent bounce: An improved nucleation rate", Physical Review D, vol. 69, pp. 045012, 2004
• Yoav Bergner and Luis M. A. Bettencourt, "Dressing up the kink", Physical Review D, vol. 69, pp. 045002, 2004
• B. Philip, B. Lee, S. McCormick and D. Quinlan, "Asynchronous Fast Adaptive Composite Grid Methods: Theoretical Foundations", SIAM J. Num. Anal., vol. 42, no. 1, pp. 130--152, 2004

2003

• Brendt Wohlberg, "Noise Sensitivity of Sparse Signal Representations: Reconstruction Error Bounds for the Inverse Problem", IEEE Transactions on Signal Processing, vol. 51, no. 12, doi:10.1109/TSP.2003.819006, pp. 3053--3060, Dec 2003
• Andy Fraser, Nick Hengartner, Kevin Vixie and Brendt Wohlberg, "Classification modulo invariance, with application to face recognition", Journal of Computational and Graphical Statistics, vol. 12, no. 4, pp. 829--852, Dec 2003
• G. Chowell, J. M. Hyman, S. Eubank and C. Castillo-Chavez, "Scaling laws for the movement of people between locations in a large city", Physical Review E, vol. 68, no. 6, pp. 661021--661027, Dec 2003
• S. T. Li, J. M. Hyman and L. R. Petzold, "An adaptive moving mesh method with static rezoning for partial differential equations", Computers and Mathematics with Applications, vol. 46, no. 10, pp. 1511--1524, Nov 2003
• R. V. Garimella and B. K. Swartz, "Curvature Estimation for Unstructured Triangulations of Surfaces", Los Alamos National Laboratory, 2003
• D. M. Tartakovsky, A. Guadagnini, L. Guadagnini and S. Franzetti, "Apparent conductivity of random composite formations", in Proceedings of the XXX IAHR Congress, (Thessaloniki, Greece), Aug 2003
• Chris Brislawn, Brendt Wohlberg and Allon Percus, "Resolution scalability for arbitrary wavelet transforms in the JPEG-2000 standard", in Proceedings of Visual Communication and Image Processing (VCIP) 2003, (Lugano, Switzerland), pp. 774--784, Jul 2003
• Brendt Wohlberg and Chris Brislawn, "Reversible integer-to-integer transforms and symmetric extension of even-length filter banks", in Proceedings of Visual Communication and Image Processing (VCIP) 2003, (Lugano, Switzerland), pp. 1709--1714, Jul 2003
• Andy Fraser, Nick Hengartner, Kevin Vixie and Brendt Wohlberg, "Incorporating invariants in Mahalanobis distance based classifiers: Application to Face Recognition", in International Joint Conference on Neural Networks (IJCNN), (Portland, OR, USA), Jul 2003
• A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Solution of moment equations of groundwater flow in random composite layered aquifers", in IAHS-AISH Publication No. 277, Eds. K. Kovar, Z. Hrkal (Conference on Calibration and Reliability in Groundwater Modelling (ModelCARE 2002) , (Prague, Czech Republic, June 17-20), pp. 108-114, Jun 2003
• D. M. Tartakovsky, P. C. Lichtner and R. J. Pawar, "PDF methods for reactive transport in porous media", in IAHS-AISH Publication No. 277, Eds. K. Kovar, Z. Hrkal (Conference on Calibration and Reliability in Groundwater Modelling (ModelCARE 2002), (Prague, Czech Republic, June 17-20), pp. 162-167, Jun 2003
• J. M. Hyman, J. Li and E. A. Stanley, "Modeling the impact of random screening and contact tracing in reducing the spread of HIV", Mathematical Biosciences, vol. 181, no. 1, pp. 17--54, Jan 2003
• Markus Berndt and Mikhail Shashkov, "Multilevel Accelerated Optimization for Problems in Grid Generation", in Proceedings of the 12th International Meshing Roundtable, (Santa Fe, NM), 2003
• D. M. Tartakovsky, A. Guadagnini and M. Riva, "Stochastic averaging of nonlinear flows in heterogeneous porous media", J. Fluid Mech., vol. 492, pp. 47-62, 2003
• A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Random domain decomposition for flow in heterogeneous stratified aquifers", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 17, no. 6, pp. 394-407, 2003
• P. C. Lichtner and D. M. Tartakovsky, "Upscaled effective rate constant for heterogeneous reactions", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 17, no. 6, pp. 419-429, 2003
• D. M. Tartakovsky, Z. Lu, A. Guadagnini and A. M. Tartakovsky, "Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters", J. Hydrol., vol. 275, no. 3-4, pp. 182-193, 2003
• C. L. Winter, D. M. Tartakovsky and A. Guadagnini, "Moment equations for flow in highly heterogeneous porous media", Surv. Geophys., vol. 24, no. 1, pp. 81-106, 2003
• Aric Hagberg and Ehud Meron, "Vortex-pair dynamics in anisotropic bistable media: a kinematic approach", Phys. Rev. Lett., vol. 91, pp. 224503, 2003
• Yuri Kuznetsov, Konstantin Lipnikov, Stephen Lyons and Serguei Maliassov, "Mathematics modeling and numerical algorithms for poroelastic problems", Contemporary Mathematics, vol. 329, pp. 191-202, 2003
• Konstantin Lipnikov and Yuri Vassilevski, "Optimal triangulations: existence, approximation and double differentiation of P_1 finite element functions", Computational Mathematics and Mathematical Physics, vol. 43, no. 6, pp. 827-835, 2003
• Graham Carey, Benjamin Kirk and Konstantin Lipnikov, "Nested grid iteration for incompressible viscous flow and transport", Inter. J. Comp. Fluid Dynamics, vol. 17, no. 4, pp. 253-262, 2003
• Konstantin Lipnikov and Yuri Vassilevski, "Parallel adaptive solution of 3D boundary value problems by Hessian recovery", Comput. Methods Appl. Mech. Engrg., vol. 192, pp. 1495-1513, 2003
• Rick Chartrand, "Multipliers and Carleson measures for D(μ) ", Integral Equations Operator Theory, vol. 45, pp. 309--318, 2003
• Miguel Aubouy, Yi Jiang, James A. Glazier and Francois Graner, "A texture tensor to quantify deformations", Granular Matter, vol. 5, pp. 64-70, 2003
• Marius Asipauskas, Miguel Aubouy, James A. Glazier, Francois Graner and Yi Jiang, "A texture tensor to quantify deformations: the example of two-dimensional flowing foams ", Granular Matter, vol. 5, pp. 71-76, 2003
• Mark A. Taylor, Susan Kurien and Gregory L. Eyink, "Recovering isotropic statistics in turbulence simulations: The Kolmogorov 4/5th- Law", Phys. Rev. E, vol. 68, pp. 026310, 2003
• Susan Kurien, "Reflection antisymmetric counterpart of the Karman-Howarth dynamical equation", Physica D: Nonlinear Phenomena, vol. 175, no. 3-4, pp. 167, 2003
• Yoav Bergner and Luis M. A. Bettencourt, "A step beyond the bounce: Bubble dynamics in quantum phase transitions", Physical Review D, vol. 68, pp. 025014, 2003
• Luis M. A. Bettencourt and G. J. Stephens, "Vortex description of the first-order phase transition in the two-dimensional Abelian-Higgs model", Physical Review E, vol. 67, pp. 066105, 2003
• B. Philip, B. Lee, S. McCormick and D. Quinlan, "Asynchronous Fast Adaptive Composite Grid Methods: Numerical Results", SIAM J. Sci. Comput., vol. 25, no. 2, pp. 682--700, 2003

2002

• R. V. Garimella, "Mesh Data Structure Selection for Mesh Generation and FEA Applications", International Journal of Numerical Methods in Engineering, vol. 55, no. 4, pp. 451-478, Oct 2002
• R. V. Garimella, M. J. Shashkov and P. M. Knupp, "Optimization of Surface Mesh Quality Using Local Parameterization", in Proceedings of the Eleventh International Meshing Roundtable, (Ithaca, NY), pp. 41-52, Sep 2002
• J. C. Campbell, J. M. Hyman and M. J. Shashkov, "Mimetic finite difference operators for second-order tensors on unstructured grids", Computers & Mathematics with Applications, vol. 44, no. 1-2, pp. 157--173, Jul 2002
• A. M. Tartakovsky, S. P. Neuman and D. M. Tartakovsky, "Mean and variance of DNAPL finger development in a saturated, randomly heterogeneous porous medium", in Proceedings of the XIV International Conference "Computational Methods in Water Resources (CMWR 2002)", (Delft, the Netherlands, June 23-28), pp. 1307-1314, Jun 2002
• M. Ye, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly nonuniform domains", in Proceedings of the XIV International Conference "Computational Methods in Water Resources (CMWR 2002)", (Delft, the Netherlands, June 23-28), pp. 1155-1162, Jun 2002
• R. V. Garimella, "Quality Improvement of Surface Triangulations using Local Parameterization", in Proceedings of the 8th International Conference on Grid Generation in Computational Field Simulations, (Honolulu, HI), pp. 609-618, Jun 2002
• F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Algorithm refinement for stochastic partial differential equations: 1. Linear diffusion", J. Comp. Phys., vol. 182, pp. 47-66, 2002
• C. L. Winter and D. M. Tartakovsky, "Groundwater flow in heterogeneous composite aquifers", Water Resour. Res., vol. 38, no. 8, doi:10.1029/2001WR000450, 2002
• Y. Hyun, S. P. Neuman, V. V. Vesselinov, W. A. Illman, D. M. Tartakovsky and V. Di Federico, "Theoretical interpretation of a pronounced permeability scale effect in unsaturated fractured tuff", Water Resour. Res., vol. 38, no. 6, doi:10.1029/2001WR000658, 2002
• Z. Lu, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Conditional moment analysis of steady state unsaturated flow in bounded, randomly heterogeneous soils", Water Resour. Res., vol. 38, no. 4, doi:10.1029/2001WR000278, 2002
• R. J. Pawar and D. M. Tartakovsky, "Propagation of measurement and interpretive errors through porous flow modeling process", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 562-565, 2002
• D. M. Tartakovsky, A. Guadagnini, F. Ballio and A. M. Tartakovsky, "Localization of mean flow and equivalent transmissivity tensor for bounded randomly heterogeneous aquifers", Transport in Porous Media, vol. 49, no. 1, pp. 41-58, 2002
• D. M. Tartakovsky, P. C. Lichtner and R. J. Pawar, "PDF methods for reactive transport in porous media", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 113-116, 2002
• C. L. Winter, D. M. Tartakovsky and A. Guadagnini, "Numerical solutions of moment equations for flow in heterogeneous composite aquifers", Water Resour. Res., vol. 38, no. 5, doi:10.1029/2001WR000222, 2002
• A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Moment analysis of flow in heterogeneous layered aquifers", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 120-123, 2002
• D. M. Tartakovsky and C. L. Winter, "Radial flow in heterogeneous aquifers with uncertain hydraulic parameters", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 155-157, 2002
• A. Yochelis, A. Hagberg, E. Meron, A. L. Lin and H. L. Swinney, "Development of standing-wave labyrinthine patterns", SIADS, vol. 1, no. 2, pp. 236--247, 2002
• Dmitri Dashevski, Roland Glowinski, Yuri Kuznetsov and Konstantin Lipnikov, "Fictitious domain based solver for particulate flows", in Proceedings of the 13th International Conference on DD Methods, Lyon, France, October 2000, pp. 351-357, 2002
• Dietrich Braess, Peter Deuflhard and Konstantin Lipnikov, "A subspace cascadic multigrid method for mortar elements", Computing, vol. 69, no. 3, pp. 205-225, 2002
• Yuri Kuznetsov and Konstantin Lipnikov, "Fast separable solver for mixed finite element methods and applications", J. Numer. Math., vol. 10, no. 2, pp. 137-155, 2002
• R. Loubère, Une méthode particulaire lagrangienne de type Galerkin Discontinue. Application à la mécanique des fluides et l'interaction laser/plasma, PhD thesis, Université de Bordeaux, 2002
• J. Hyman, J. Morel, M. Shashkov and S. Steinberg, "Mimetic finite difference methods for diffusion equations", Computational Geosciences, vol. 6, no. 3-4, pp. 333--352, 2002
• Rick Chartrand, "Toeplitz operators on Dirichlet-type spaces", J. Operator Theory, vol. 48, pp. 3--13, 2002
• Mark Alber, Maria Kiskowski, James Glazier and Yi Jiang, "On Cellular Automaton Approaches to Modeling Biological Cells", in IMA 134: Mathematical systems theory in biology, communication, and finance. Springer-Verleg, New York. , pp. 12, 2002
• Luis M. A. Bettencourt, "From boom to bust and back again: the complex dynamics of trends and fashions", cond-mat/0212267, 2002
• Luis M. A. Bettencourt, "Stochastic field evolution of disoriented chiral condensates", Proceedings of Lattice 2002, July 2002, Cambridge MA, 2002
• Luis M. A. Bettencourt, "Tipping the balances of a small world", cond-mat/0304321, 2002
• Luis M. A. Bettencourt, F. Cooper and K. Pao, "Relativistic Hydrodynamic Scaling from the dynamics of relativistic quantum field theory", Physical Review Letters, vol. 89, pp. 112301, 2002
• G. J. Stephens, Luis M. A. Bettencourt and W. H. Zurek, "Critical Dynamics of Gauge Systems: Spontaneous Vortex Formation in 2D Superconductors", Physical Review Letters, vol. 88, pp. 137004, 2002
• Luis M. A. Bettencourt, K. Pao and J. G. Sanderson, "Dynamical behavior of spatially inhomogeneous relativistic scalar quantum field theory in the Hartree approximation", Physical Review D, vol. 65, pp. 025015, 2002
• Nuno D. Antunes, Luis M. A. Bettencourt and Martin Kunz, "Role of pointlike topological excitations at criticality: From vortices to global monopoles", Physical Review E, vol. 65, pp. 066117, 2002
• D. Quinlan, B. Miller, B. Philip and M. Schordan, "Treating a User-Defined Parallel Library as a Domain-Specific Language", in Proceedings of the International Parallel and Distributed Processing Symposium (IPDPS'02), 2002

2001

• J. Hyman, M. Shashkov and S. Steinberg, "The effect of inner products for discrete vector fields on the accuracy of mimetic finite difference methods", Computers & Mathematics with Applications, vol. 42, no. 12, pp. 1527--1547, Dec 2001
• J. M. Hyman and J. Li, "An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations", Mathematical Biosciences, vol. 167, no. 1, pp. 65--86, Sep 2001
• J. M. Hyman, S. T. Li, P. Knupp and M. Shashkov, "An algorithm for aligning a quadrilateral grid with internal boundaries", Journal of Computational Physics, vol. 163, no. 1, pp. 133--149, Sep 2001
• F. Cooper, J. M. Hyman and A. Khare, "Compacton solutions in a class of generalized fifth-order Korteweg-de Vries equations", Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), vol. 64, no. 2, pp. 026608/1--13, Aug 2001
• J. E. Castillo, J. M. Hyman, M. Shashkov and S. Steinberg, "Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient", Applied Numerical Mathematics, vol. 37, no. 1-2, pp. 171--187, Apr 2001
• V. V. Vesselinov, W. I. Illman, Y. Hyun, S. P. Neuman, V. Di Federico and D. M. Tartakovsky, "Pronounced permeability and porosity scale-effect in unsaturated fractured tuffs", in Proceedings of the Conference "Fractured Rock 2001, (Toronto, Canada, March 26-28), Mar 2001
• B. K. Karamete, R. Garimella and M. S. Shephard, "Recovery of an Arbitrary Edge on an Existing Surface Mesh using Local Mesh Modifications", International Journal for Numerical Methods in Engineering, vol. 50, no. 6, pp. 1389-1409, Feb 2001
• J. M. Hyman, J. Li and E. A. Stanley, "The initialization and sensitivity of multigroup models for the transmission of HIV", Journal of Theoretical Biology, vol. 208, no. 2, pp. 227--249, Jan 2001
• Travis Austin, Advances on a Least-Squares Method for the 3D Linear Boltzmann Equation, PhD thesis, University of Colorado at Boulder, 2001
• Markus Berndt, Konstantin Lipnikov, J. David Moulton and Mikhail Shashkov, "Convergence of mimetic finite difference discretizations", East-West Journal of Numerical Mathematics, vol. 9, no. 4, pp. 265--284, 2001
• D. M. Tartakovsky and A. Guadagnini, "Prior mapping for nonlinear flows in random environments", Phys. Rev. E, vol. 64, pp. 5302(R)-5305(R), 2001
• C. L. Winter and D. M. Tartakovsky, "Theoretical foundation for conductivity scaling", Geophys. Res. Lett., vol. 28, no. 23, pp. 4367-4370, 2001
• S. Assouline and D. M. Tartakovsky, "Unsaturated hydraulic conductivity function based on a fragmentation process", Water Resour. Res., vol. 37, no. 5, pp. 1309-1312, 2001
• D. M. Tartakovsky and C. L. Winter, "Dynamics of Free Surfaces in Random Porous Media", SIAM J. Appl. Math., vol. 61, no. 6, pp. 1857-1876, 2001
• Ehud Meron, Markus Bär, Aric Hagberg and Uwe Thiele, "Front dynamics in catalytic surface reactions", Catalysis Today, vol. 70, no. 4, pp. 331--340, 2001
• Aric Hagberg and Ehud Meron, "Spiral wave nucleation", in Interfaces, Pulses and Waves in Nonlinear Dissipative Systems. RIMS Project 2000: Reaction-diffusion systems: theory and application. Takao Ohta, ed. , (RIMS, Kyoto), pp. 66--71, 2001
• G. Godinaud, A. Y. Le Roux, R. Loubère and J. Ovadia, "Une technique nouvelle d'anti-diffusion dynamique", C.R.Acad.Sci.Paris, vol. 333, pp. 957--960, 2001
• M. I. Cozic, M. N. Le Roux and R. Loubère, "Analysis of a complete discrete finite element method for a free boundary diffusion problem with absorption", J.Comp.Appl.Math., vol. 134, pp. 143--164, 2001
• J. X. Xin and J. M. Hyman, "Stability, relaxation, and oscillation of biodegradation fronts", SIAM Journal on Applied Mathematics, vol. 61, no. 2, pp. 472--505, 2001
• T. Burr, J. M. Hyman and G. Myers, "The origin of acquired immune deficiency syndrome: Darwinian or Lamarckian?", Philosophical Transactions of the Royal Society of London B Biological Sciences, vol. 356, no. 1410, pp. 877--887, 2001
• J. M. Hyman and M. Shashkov, "Mimetic finite difference methods for Maxwell's equations and the equations of magnetic diffusion", Prog. in Electromagnetic Research, PIER, vol. 32, pp. 89--121, 2001
• Francois Graner, Yi Jiang, Eric Janiaud and Cyril Flement, "Equilibrium states and ground state of 2D fluid foams", Phys. Rev. E, vol. 63, pp. 011402, 2001
• Susan Kurien and Katepalli R. Sreenivasan, "Measures of anisotropy and the universal properties of turbulence", in NATO Advanced Study Institute. Les Houches Session LXXIV. New Trends in Turbulence. Turbulence: Nouveux Aspects, 31 July-1 Sept. 2000 , pp. 53--111, 2001
• Susan Kurien, Konstantinos Aivalis and Katepalli Sreenivasan, "Anisotropy of small-scale scalar turbulence", J. Fluid Mech., vol. 448, pp. 279--288, 2001
• Susan Kurien and Katepalli R. Sreenivasan, "Dynamical equations for high-order structure functions, and a comparison of a mean field theory with experiments in three-dimensional turbulence ", Phys. Rev. E, vol. 64, pp. 056302, 2001
• Luis M. A. Bettencourt, K. Rajagopal and J. Steele, "Langevin Dynamics of disoriented chiral condensates", Nuclear Physics A, vol. 693, pp. 825, 2001
• Nuno D. Antunes, Luis M. A. Bettencourt and Andrew Yates, "Predicting the critical density of topological defects in O(N) scalar field theories", Physical Review D, vol. 64, pp. 065020, 2001
• Luis M. A. Bettencourt, "Properties of the Langevin and Fokker-Planck equations for scalar fields and their application to the dynamics of second order transitions", Physical Review D, vol. 63, pp. 045020, 2001
• D. Quinlan, M. Schordan, B. Philip and M. Kowarschik, "The Specification of Source-to-Source Transformations for the Compile-Time Optimization of Parallel Object Oriented Scientific Applications", in Languages and Compilers for Parallel Computing, pp. 383--394, 2001
• D. Quinlan and B. Philip, "ROSETTA: The Compile-Time Recognition of Object-Oriented Library Abstractions and Their Use Within User Applications", in Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA 2001), 2001
• B. Miller, B. Philip, D. Quinlan and A. Wissink, "AMRSim: An Object-Oriented Performance Simulator for Parallel Adaptive Mesh Refinement", in Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA 2001), 2001

2000

• R. V. Garimella and M. S. Shephard, "Boundary Layer Mesh Generation for Viscous Flow Simulations", International Journal of Numerical Methods in Engineering, vol. 49, no. 1-2, pp. 193-218, Sep 2000
• George Zweig and Brendt Wohlberg, "Application of a super-resolution Fast Fourier Transform to ISAR imaging and EXAFS crystal-structure determination", in Proceedings of the Tenth IEEE Workshop on Statistical Signal and Array Processing, (Pocono Manor, PA, USA), pp. 458--462, Aug 2000
• R. J. Pawar and D. M. Tartakovsky, "Propagation of measurement errors in reservoir modeling", in Computational Methods in Water Resources, Vols. 1 and 2: Computational Methods for Subsurface Flow and Transport - Computational Methods, Surface Water Systems and Hydrology, Eds. L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder (Proceedings of the XIII International Conference "Computational Methods in Water Resources") , (Calgary, Canada, June 25-29), pp. 15-20, Jun 2000
• Z. M. Lu, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Direct solution of unsaturated flow in randomly heterogeneous soils", in Computational Methods in Water Resources, Vols. 1 and 2: Computational Methods for Subsurface Flow and Transport - Computational Methods, Surface Water Systems and Hydrology, Eds. L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder (Proceedings of the XIII International Conference "Computational Methods in Water Resources"), (Calgary, Canada, June 25-29), pp. 785-792, Jun 2000
• D. M. Tartakovsky, J. D. Moulton and V. Zlotnik, "Kinematic structure of mini-permeameter flow", Water Resour. Res., vol. 36, no. 9, pp. 2433-2442, 2000
• C. L. Winter and D. M. Tartakovsky, "Mean flow in composite porous media", Geophys. Res. Lett., vol. 27, no. 12, pp. 1759-1762, 2000
• D. M. Tartakovsky, A. Guadagnini and L. Guadagnini, "Effective hydraulic conductivity and transmissivity for heterogeneous aquifers", Math. Geology, vol. 32, no. 6, pp. 751-759, 2000
• D. M. Tartakovsky, "An analytical solution for two-dimensional contaminant transport during groundwater extraction", J. Contam. Hydrol., vol. 42, no. 2-4, pp. 273-283, 2000
• D. M. Tartakovsky, "Real gas flow through heterogeneous porous media: Theoretical aspects of upscaling", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 14, no. 2, pp. 109-122, 2000
• A. Guadagnini and D. M. Tartakovsky, "Stochastic analysis of groundwater pumping from bounded, randomly heterogeneous aquifers", in Geological Society of America Special Papers, No. 348, Eds. D. Zhang and C.L. Winter (Symposium on theory, modeling, and field investigation in hydrogelogy in honor of Shlomo P. Neuman's 60th Birthday) , (Tucson, October 17, 1998), pp. 73-79, 2000
• V. Di Federico and D. M. Tartakovsky, "Effective hydraulic conductivity in multiscale random fields with truncated power variograms", in Geological Society of America Special Papers, No. 348, Eds. D. Zhang and C.L. Winter (Symposium on theory, modeling, and field investigation in hydrogelogy in honor of Shlomo P. Neuman's 60th Birthday), (Tucson, October 17, 1998), pp. 81-89, 2000
• M. Riva, A. Guadagnini, S. P. Neuman and D. M. Tartakovsky, "Three-dimensional steady state flow to a well in a randomly heterogeneous aquifer", in IAHS Publication No. 265, Eds. F. Stauffer, W. Kinzelbach, K. Kovar, E. Hoen (ModelCARE'99) , (Zurich, Switzerland, September 20-23, 1999), pp. 131-136, 2000
• A. L. Lin, A. Hagberg, A. Ardelea, M. Bertram, H. L. Swinney and E. Meron, "Four-Phase patterns in forced oscillatory systems", Phys. Rev. E, vol. 62, pp. 3790--3798, 2000
• Markus Bär, Aric Hagberg, Ehud Meron and Uwe Thiele, "Front propagation and pattern formation in anisotropic media", Phys. Rev. E, vol. 62, no. 1, pp. 366--374, 2000
• Aric Hagberg, Ehud Meron and Thierry Passot, "Phase dynamics of nearly stationary patterns in activator-inhibitor systems", Phys. Rev. E, vol. 61, no. 6, pp. 6471--6476, 2000
• Christian Elphick, Aric Hagberg and Ehud Meron, "Phase front solutions and instabilities in forced oscillations", in Equadiff 99 : Proceedings of the International Conference on Differential Equations Berlin, Germany 12 August 1999, pp. , 2000
• Yuri Kuznetsov and Konstantin Lipnikov, "An efficient iterative solver for a simplified poroelasticity problem", East-West Journal, vol. 8, no. 3, pp. 207-222, 2000
• Yi Jiang, Turab Lookman and Avadh Saxena, "Influence of filler particles and cluster on phase-separating filled polymer blends", in MRS Proceedings:Filled and Nanocomposite Polymer Materials , pp. kk8.5.1-6, 2000
• Yi Jiang, Marius Asipauskas, James Glazier and Francois Graner, " Ab Initio derivation of mesoscopic stress and stain in foams", in Foams, Emulsions and their Applications, P. Zitha, J. Banhart and G. Verbist editors (Verlag MIT Publishing, Bremen, Germany, 2000) , pp. 297-304, 2000
• Yi Jiang, Eric Janiaud, Cyril Flament, James Glazier and Francois Graner, " Energy landscape of 2D fluid foams", in Foams, Emulsions and their Applications, P. Zitha, J. Banhart and G. Verbist editors (Verlag MIT Publishing, Bremen, Germany, 2000) , pp. 321-327, 2000
• Yi Jiang, Turab Lookman and Avadh Saxena, "Phase Separation and Shape Deformation on a Two-Phase Membrane", Phys. Rev. E, vol. 61, pp. R57-R60, 2000
• Susan Kurien and Katepalli R. Sreenivasan, "Anisotropic scaling contributions to high-order structure functions in high-Reynolds-number turbulence", Phys. Rev. E, vol. 62, pp. 2206--2212, 2000
• Susan Kurien, Victor S. L'vov, Itamar Procaccia and Katepalli R. Sreenivasan, "Scaling structure of the velocity statistics in atmospheric boundary layers", Phys. Rev. E, vol. 61, pp. 407--421, 2000
• R. Sasik, Luis M. A. Bettencourt and Salman Habib, "Thermal vortex dynamics in a two dimensional condensate", Physical Review B, vol. 62, pp. 1238-1243, 2000
• Luis M. A. Bettencourt, S. Habib and G. Lythe, "Controling one-dimensional Langevin dynamics on the lattice", Physical Review D, vol. 60, pp. 105039, 2000

1999

• Brendt Wohlberg and Gerhard de Jager, "A review of the fractal image coding literature", IEEE Transactions on Image Processing, vol. 8, no. 12, pp. 1716--1729, Dec 1999
• D. M. Tartakovsky, A. Guadagnini and M. Riva, "Stochastic analysis of effective conductivity for bounded, randomly heterogeneous aquifers", in Proceedings of the 5th Annual Conference of the International Association for Mathematical Geology (IAMG99), Vol. II, (Trondheim, Norway, August 6-11), pp. 760-766, Aug 1999
• D. M. Tartakovsky, A. Guadagnini and L. Guadagnini, "Stochastic averaging and estimate of effective (upscaled) conductivity and transmissivity", in Proceedings of the 5th Annual Conference of the International Association for Mathematical Geology (IAMG99), Vol. II, (Trondheim, Norway, August 6-11), pp. 755-760, Aug 1999
• Brendt Wohlberg and Gerhard de Jager, "A Class of Multiresolution Stochastic Models Generating Self-Affine Images", IEEE Transactions on Signal Processing, vol. 47, no. 6, pp. 1739--1742, Jun 1999
• Markus Berndt, Adaptive Refinement and the Treatment of Discontinuous Coefficients for Multilevel First-Order System Least Squares, PhD thesis, University of Colorado, 1999
• D. M. Tartakovsky, "Stochastic analysis of heterogeneous phreatic aquifers", Water Resour. Res., vol. 35, no. 12, pp. 3941-3946, 1999
• D. M. Tartakovsky, "Prediction of steady-state flow of real gases in randomly heterogeneous porous media", Physica D, vol. 133, no. , pp. 463-468, 1999
• V. Di Federico, S. P. Neuman and D. M. Tartakovsky, "Anisotropy, lacunarity, upscaled conductivity, and its covariance in multiscale random fields with truncated power variograms", Water Resour. Res., vol. 35, no. 10, pp. 2891-2908, 1999
• D. M. Tartakovsky and S. P. Neuman, "Extension of "Transient flow in bounded randomly heterogeneous domains\ 1. Exact conditional moment equations and recursive approximations"", Water Resour. Res., vol. 35, no. 6, pp. 1921-1925, 1999
• D. M. Tartakovsky, S. P. Neuman and Z. Lu, "Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation", Water Resour. Res., vol. 35, no. 3, pp. 731-745, 1999
• D. M. Tartakovsky and I. Mitkov, "Some aspects of head-variance evaluation", Comp. Geosci., vol. 3, no. 1, pp. 89-92, 1999
• D. M. Tartakovsky and C. L. Winter, "Groundwater flow in composite aquifers under uncertainty", in Proceedings of the International Conference Calibration and Reliability in Groundwater Modeling (ModelCARE'99), (Zurich, Switzerland, September 20-23, 1999), 1999
• D. M. Tartakovsky and C. L. Winter, "Scale-dependent Darcy flows in fractured media", in Dynamics of fluids in fractured rocks: Concepts and recent advances. Proceedings of the international sympiosium in honor of Paul A. Witherspoon, (Berkeley, February 10-12), pp. 224-225, 1999
• S. P. Neuman, D. M. Tartakovsky, C. Filippone, O. Amir and Z. Lu, "Deterministic prediction of unsaturated flow in randomly heterogeneous soils under uncertainty without upscaling", in Proceedings of the 1997 International Workshop on Characterization and Measurement of the Hydraulic Properties of Unsaturated Porous Media. Edited by M.Th. Van Genuchten, F.J. Leij, and L. Wu, (Riverside), pp. 1351-1365, 1999
• Markus Bär, Aric Hagberg, Ehud Meron and Uwe Thiele, "Stratified spatiotemporal chaos in anisotropic reaction-diffusion systems", Phys. Rev. Lett., vol. 83, pp. 2664--2667, 1999
• Michael S. Warren, Aric Hagberg, J. David Moulton, David Neal and John K. Salmon, "Avalon: champagne computing on a beer budget", Extended abstract, 1999
• Christian Elphick, Aric Hagberg and Ehud Meron, "Multiphase patterns in periodically forced oscillatory systems", Phys. Rev. E, vol. 59, no. 5, pp. 5285--5291, 1999
• Abdellatif Agouzal, Konstantin Lipnikov and Yuri Vassilevski, "Adaptive generation of quasi-optimal tetrahedral meshes", East-West Journal, vol. 7, no. 4, pp. 223-244, 1999
• Konstantin Lipnikov and Yuri Vassilevski, "An adaptive algorithm for quasioptimal mesh generation", Computational Mathematics and Mathematical Physics, vol. 39, no. 9, pp. 1468-1486, 1999
• R. V. Garimella and M. S. Shephard, "Generation of Tetrahedral Meshes with Multiple Elements through the Thickness", Engineering with Computers, vol. 15, no. 2, pp. 181-197, 1999
• Rick Chartrand, Hilbert spaces of holomorphic functions: zero sets, invariant subspaces, and Toeplitz operators., PhD thesis, University of California, Berkeley, 1999
• Yi Jiang, Pieter Swart, Avadh Saxena, Marius Asipauskas and James Glazier, "Hysteresis and Avalanches in Two Dimensional Foam Rheology Simulations", Phys. Rev. E, vol. 59, pp. 5819-5832, 1999
• Florence Elias , Cyril Flament , James Glazier , Francois Graner and Yi Jiang, " Foams Out of Stable Equilibrium: Cell Elongation and Side Swapping", Phil. Mag. B, vol. 79, pp. 729-751, 1999
• Nuno D. Antunes, Luis M. A. Bettencourt and W. H. Zurek, "Vortex String Formation in a 3D U(1) Temperature Quench", Physical Review Letters, vol. 82, pp. 2824-2827, 1999
• F. Bassetti, K. Davis, M. Marathe, B. Philip and D. Quinlan, "Improving Cache Utilization of Linear Relaxation Methods: Theory and Practice", in Computing in Object-Oriented Parallel Environments, pp. 25--36, 1999

1998

• R. Garimella and M. S. Shephard, "Boundary Layer Meshing for Viscous Flows in Complex Domains", in Proceedings of the Seventh International Meshing Roundtable, (Dearborn, MI), pp. 107-118, Oct 1998
• R. V. Garimella, B. E. Webster and Shephard M. S., "Automatic Mesh Generation of Complex Configurations including Viscous Boundary Layers", in Proceedings of the 10th International Conference on Finite Elements in Fluids, (University of Arizona, Tucson AZ), pp. 369-374, Jan 1998
• I. Mitkov, D. M. Tartakovsky and C. L. Winter, "Dynamics of wetting fronts in porous media", Phys. Rev. E, vol. 58, no. 5, pp. 245R-5248R, 1998
• D. M. Tartakovsky and S. P. Neuman, "Transient flow in bounded randomly heterogeneous domains 1. Exact conditional moment equations and recursive approximations", Water Resour. Res., vol. 34, no. 1, pp. 1-12, 1998
• D. M. Tartakovsky and S. P. Neuman, "Transient flow in bounded randomly heterogeneous domains 2. Localization of conditional mean equations and temporal nonlocality effects", Water Resour. Res., vol. 34, no. 1, pp. 13-20, 1998
• D. M. Tartakovsky and S. P. Neuman, "Transient effective hydraulic conductivities under slowly and rapidly varying mean gradients in bounded three-dimensional random media", Water Resour. Res., vol. 34, no. 1, pp. 21-32, 1998
• A. Guadagnini, L. Guadagnini and D. M. Tartakovsky, "Prediction of steady state flow in randomly heterogeneous formations by conditional nonlocal finite elements", in Proceedings of the second European conference on geostatistics for environmental applications (ISBN 0-7923-5783-3), (Valencia, Spain, November 18-20), pp. 271-282, 1998
• Aric Hagberg and Ehud Meron, "Order parameter equations for front transitions: nonuniformly curved fronts", Physica D, vol. 123, pp. 460, 1998
• Aric Hagberg and Ehud Meron, "Propagation failure in excitable media", Phys. Rev. E, vol. 57, pp. 299, 1998
• C. Elphick, A. Hagberg and E. Meron, "A phase front instability in periodically forced oscillatory systems", Phys. Rev. Lett., vol. 80, no. 22, pp. 5007--5010, 1998
• Aric Hagberg and Ehud Meron, "Kinematic equations for front motion and spiral-wave nucleation", Physica A, vol. 249, pp. 118, 1998
• Erkki Heikkola, Yuri Kuznetsov and Konstantin Lipnikov, "Fictitious domain methods for the numerical solution of 3D acoustic scattering problems", J. Comp. Acoustics, vol. 7, no. 3, pp. 161-183, 1998
• Yuri Kuznetsov and Konstantin Lipnikov, "3D Helmholtz wave equation by fictitious domain method", Russian J. Numer. Analysis Math. Modelling, vol. 13, no. 5, pp. 371-389, 1998
• Yi Jiang, Cellular Pattern Formation, PhD thesis, University of Notre Dame, 1998
• Yi Jiang, Herbert Levine and James Glazier, " Differential adhesion and chemotaxis in mound formtaion of Dictyostelium", Biophys. J., vol. 75, pp. 2615, 1998
• Itai Arad, Brindesh Dhruva, Susan Kurien, Victor S. L'vov, Itamar Procaccia and Katepalli R. Sreenivasan, "Extraction of anisotropic contributions in turbulent flows", Phys. Rev. Lett., vol. 81, pp. 5330--5333, 1998
• Nuno D. Antunes and Luis M. A. Bettencourt, "The Length Distribution of Vortex Strings in U(1) equilibrium scalar field theory", Physical Review Letters, vol. 81, pp. 3083-3086, 1998
• Nuno D. Antunes, Luis M. A. Bettencourt and M. Hindmarsh, "Thermodynamics of Cosmic String Densities in U(1) Scalar Field Theory", Physical Review Letters, vol. 80, pp. 908-911, 1998
• Luis M. A. Bettencourt and C. Wetterich, "Time evolution of correlation functions for classical and quantum anharmonic oscillators", hep-ph/9805360, 1998
• Luis M. A. Bettencourt and C. Wetterich, "Time evolution of correlation functions in Non-equilibrium Field Theorie", Physical Letters B, vol. 430, pp. 140-150, 1998

1997

• Markus Berndt, Thomas A. Manteuffel and Stephen F. McCormick, "Local error estimates and adaptive refinement for first-order system least squares (FOSLS)", E.T.N.A., vol. 6, pp. 35-43, 1997
• Daniel Quinlan and Markus Berndt, "MLB: Multilevel load balancing for structured grid applications", in Proceedings of the SIAM Parallel Conference, (Minneapolis, MN), 1997
• V. Di Federico and D. M. Tartakovsky, "Stima analitica del trasporto di soluto verso un dreno (in Italian) An analytical estimate of solute transport towards a drain)", L'Acqua, vol. 6, pp. 51-57, 1997
• D. M. Tartakovsky and V. Di Federico, "An analytical solution for contaminant transport in non-uniform flow", Transport in Porous Media, vol. 27, no. 1, pp. 85-97, 1997
• C. Elphick, A. Hagberg, E. Meron and B. Malomed, "On the origin of traveling pulses in bistable systems", Phys. Lett. A, vol. 230, pp. 33--37, 1997
• A. Hagberg, E. Meron, I. Rubinstein and B. Zaltzman, "Order parameter equations for front transitions: planar and circular fronts", Phys. Rev. E, vol. 55, no. 4, pp. 4450--4457, 1997
• Aric Hagberg and Ehud Meron, "The dynamics of curved fronts: beyond geometry", Phys. Rev. Lett., vol. 78, no. 6, pp. 1166--1169, 1997
• Yi Jiang and James Glazier, "Foam Drainage: Extended Large-Q Potts Model Simulation and a Mean Field Theory", in MRS Proceedings:MRS Fall Meeting'96: Volume 463 , pp. 307, 1997
• Luis M. A. Bettencourt, Pablo Laguna and Richard A. Matzner, "Nonintercommuting Cosmic Strings", Physical Review Letters, vol. 78, pp. 2066-2069, 1997
• N. D. Antunes and Luis M. A. Bettencourt, "Out of equilibrium dynamics of quench-induced spontaneous symmetry breaking and topological defect formation", Physical Review D, vol. 55, pp. 925-937, 1997

1996

• Brendt Wohlberg and Gerhard de Jager, "Fractal coding performance for first-order Gauss-Markov models", Electronics Letters, vol. 32, no. 5, pp. 441--442, Feb 1996
• S. K. Agrawal, R. Garimella and G. Desmier, "Free-floating closed-chain planar robots: kinematics and path planning", Nonlinear Dynamics, vol. 9, no. 1-2, pp. 1-19, Feb 1996
• Markus Berndt and Kristian Witsch, "Multigrid on overlapping patches", in Proceedings of the Seventh Copper Mountain Conference on Multigrid Methods, volume CP 3339, (NASA, Hampton, VA), pp. 31-40, 1996
• Brendt Wohlberg, Fractal Image Compression and the Self-Affinity Assumption: A Stochastic Signal Modelling Perspective, PhD thesis, University of Cape Town, 1996
• E. K. Paleologos, S.P. Neuman and D. M. Tartakovsky, "Effective hydraulic conductivity of bounded, strongly heterogeneous porous media", Water Resour. Res., vol. 32, no. 5, pp. 1333-1341, 1996
• S. P. Neuman, D. M. Tartakovsky, T. C. Wallstrom and C. L. Winter, "Correction to the Neuman and Orr ``Nonlocal theory of steady state flow in randomly heterogeneous media''", Water Resour. Res., vol. 32, no. 5, pp. 1479--1480, 1996
• A. Hagberg, E. Meron, I. Rubinstein and B. Zaltzman, "Controlling domain patterns far from equilibrium", Phys. Rev. Lett., vol. 76, pp. 427--430, 1996
• Aric Hagberg and Ehud Meron, "A mechanism for spatio-temporal disorder in bistable reaction-diffusion systems", Nonlinear Science Today, 1996