Applied Mathematics and Plasma Physics

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Shengtai Li

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Publications

• "A novel approach of divergence-free reconstruction for adaptive mesh refinement"
• "An HLLC Riemann solver for ideal magneto-hydrodynamics"
• "Adjoint Sensitivity for PDEs with adaptive mesh refinement"
• "Note on Upwinding Constrained Transport Method for Ideal Magnetohydrodynamics"
• "A Modern Code for Solving Magneto-hydrodynamic or Hydrodynamic Equations"
• "WENO Schemes for Cylindrical and Spherical Geometry"
• "An Adaptive Moving Mesh Method with Static Rezoning for Partial Differential Equations"
• "Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems"
• "Adjoint Sensitivity Analysis for Differential-Algebraic Equations: algorithm and software"
• "Adaptive mesh refinement for finite-difference WENO schemes"
• "Solution Adapted Nested Grid Refinement and Sensitivity Analysis for Parabolic Partial Differential Equations"
• "Adjoint Sensitivity Analysis for Differential-Algebraic Equations: The Adjoint DAE System and its numerical solution"
• "Software and Algorithm for Sensitivity Analysis of Large-Scale Differential Algebraic Systems"
• "Adaptive Numerical Methods for Sensitivity Analysis of Differential-Algebraic Equations and Partial Differential Equations"
• "User Guide for DASPK Adjoint Solver"
• "Sensitivity Analysis of Differential-Algebraic Equations: A Comparison of Methods on a Special Problem"
• "An Algorithm to Align a Quadrilateral Grid with Internal Boundaries"
• "Design of new DASPK for sensitivity analysis"
• "Implementing DASPK for FEMLAB"
• "Stability for moving mesh system for partial differential equations."
• "Moving mesh method with upwinding schemes for time-dependent PDEs."
• "An Adaptive Moving Mesh Method with Locally Refined Nested Grids for Partial Differential Equations"
• "Interactive and Dynamic Control of Adaptive Mesh Refinement with Nested Hierarchical Grids"
• "Solution Adapted Nested Grid Refinement of 2-D PDEs"
• "A note for Lie-Poisson Hamilton-Jacobi Equation and Lie-Poisson Integrator"
• "Lie-Poisson Integration for Rigid-Body Dynamics"

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