Mathematical Modeling and Analysis
Mathematical Modeling and Analysis
| [1] | K. Lipnikov, J. D. Moulton, and D. Svyatskiy. A Multilevel Multiscale Mimetic (M3) method for two-phase flows in porous media. 227(14), 6727-6753, doi:10.1016/j.jcp.2008.03.029, 2008. [ bib | DOI | .pdf | Abstract ] |
| [2] | M. Berndt, G. Hansen, and J. D. Moulton. Efficient nonlinear solvers for laplace-beltrami smoothing of three-dimensional unstructured grids. 55(12), 2791-2806, doi:10.1016/j.camwa.2007.10.029, 2008. [ bib | DOI | .pdf | Abstract ] |
| [3] | J. D. Moulton, C. Fox, and D. Svyatskiy. Multilevel approximations in sample-based inversion from the dirichlet-to-neumann map. Technical Report LA-UR 07-7958, Mathematical Modeling and Analysis Group, Los Alamos National Laboratory, 2007. submitted to the Proceedings of the First International Congress of IPIA Conference on Applied Inverse Problems 2007: Theoretical and Computational Aspects, June 25-29, 2007, Vancouver, Canada. [ bib | Abstract ] |
| [4] | J. D. Moulton, T. M. Austin, M. Shashkov, J. E. Morel, and D. Svyatskiy. A mimetic preconditioner for mixed discretizations of the diffusion equation. Technical Report LA-UR 07-8396, Mathematical Modeling and Analysis Group, Los Alamos National Laboratory, 2007. [ bib ] |
| [5] | D. Moulton, K. Lipnikov., J. Fung, and S. Runnels. Discretization schemes on polygonal and polyhedral grids for diffusion problems. Technical Report LA-UR 07-1588, Mathematical Modeling and Analysis Group, Los Alamos National Laboratory, 2007. to appear in the Proceedings of NECDC 2006, October 23-27, Los Alamos National Laboratory, Los Alamos, NM. [ bib ] |
| [6] | S. P. MacLachlan and J. D. Moulton. Multilevel upscaling through variational coarsening. Water Resour. Res., 42, W02418, doi:10.1029/2005WR003940, 2006. [ bib | DOI | .pdf | Abstract ] |
| [7] | T. M. Austin, M. Berndt, and J. D. Moulton. A memory efficient parallel tridiagonal solver. Technical Report LA-UR 03-4149, Mathematical Modeling and Analysis Group, Los Alamos National Laboratory, Los Alamos, NM, 2004. [ bib | .pdf | Abstract ] |
| [8] | M. Berndt, K. Lipnikov, J. D. Moulton, and M. J. Shashkov. Convergence of mimetic finite difference discretizations of the diffusion equation. East-West Journal of Numerical Mathematics, 9, 253-316, 2001. [ bib | Abstract ] |
| [9] | D. M. Tartakovsky, J. D. Moulton, and V. A. Zlotnik. Kinematic structure of minipermeameter flow. Water Resour. Res., 36, 2433-2442, 2000. [ bib | .pdf | Abstract ] |
| [10] | J. E. Dendy and J. D. Moulton. Some aspects of multigrid for mixed discretizations. In E Dick, K. Riemslagh, and J. Vierendeels, editors, Multigrid VI, Proceedings of the Sixth European Multigrid Conference, held in Gent, Belgium, September 27-30, 1999, volume 14 of Lecture Notes in Computational Science and Engineering, pages 80-86. Springer-Verlag, 2000. [ bib | .pdf | Abstract ] |
| [11] | J. David. Moulton, Stephan Knapek, and Joel E. Dendy. Multilevel upscaling in heterogeneous porous media. Research Highlights LA-UR 99-4754, Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, January 1999. [ bib | .pdf | Abstract ] |
| [12] | Michael S. Warren, Aric Hagberg, J. David Moulton, David Neal, and John K. Salmon. Avalon: Champagne computing on a beer budget. Extended abstract, 1999. [ bib | http | Abstract ] |
| [13] | J. D. Moulton, J. E. Dendy, and J. M. Hyman. The black box multigrid numerical homogenization algorithm. J. Comput. Phys., 141, 1-29, 1998. [ bib | .pdf | Abstract ] |
| [14] | J. D. Moulton, J. E. Morel, and U. M. Ascher. Approximate schur complement preconditioning of the lowest-order nodal discretizations. SIAM J. Sci. Comput., 19(1), 185-205, Jan 1998. [ bib | .pdf | Abstract ] |
| [15] | J. D. Moulton. Nodal Methods: Analysis, Performance and Fast Iterative Solvers. PhD thesis, University of British Columbia, Institute of Applied Mathematics, November 1996. [ bib | Abstract ] |
| [16] | M. S. Patterson, J. D. Moulton, B. C. Wilson, K. W. Berndt, and J. R. Lakowicz. Frequency-domain reflectance for the determination of the scattering and absorption properties of tissue. Appl. Opt., 30(31), 4474-4476, 1991. [ bib | Abstract ] |
| [17] | M. S. Patterson, S. J. Madsen, J. D. Moulton, and B. C. Wilson. Diffusion equation representation of photon migration in tissue. In G. L. Hieter, editor, International Microwave Symposium, volume 2, pages 905-908. IEEE MTT-S, 1991. [ bib | Abstract ] |
| [18] | S. J. Madsen, M. S. Patterson, B. C. Wilson, Y. D. Park, J. D. Moulton, S. L. Jacques, and Y. Hefetz. Time resolved diffuse reflectance and transmittance studies in tissue simulating phantoms: A comparison between theory and experiment. In Britton Chance, editor, Time Resolved Spectroscopy and Imaging of Tissues, volume 1431, pages 42-51. SPIE, 1991. [ bib | Abstract ] |
| [19] | J. D. Moulton. Diffusion Modelling of Picosecond Pulse Propagation in Turbid Media. Master's thesis, McMaster University, Hamilton, Ontario, August 1990. [ bib | Abstract ] |
| [20] | M. S. Patterson, J. D. Moulton, B. C. Wilson, and B. Chance. Applications of time-resolved light scattering measurements to photodynamic therapy dosimetry. In T. J. Dougherty, editor, Photodynamic Therapy Mechanisms II, volume 1203, pages 62-75. SPIE, 1990. [ bib | Abstract ] |
| [21] | B. C. Wilson, M. S. Patterson, S. T. Flock, and J. D. Moulton. The optical absorption and scattering properties of tissues in the visible and near-infrared wavelength range. In R. H. Douglas, J. Moan, and F Dall'Acqua, editors, Light in Biology and Medicine, volume 1, pages 45-52. Plenum Publishing Corp., 1988. [ bib | Abstract ] |
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