Search Results

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu

  2018-04-04

  40482 3195 Pages:835-869

• A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

  Eskil Hansen & Erik Henningsson

  2020-07-31

  40359 3288 Pages:1302-1316

• Using an ILU/Deflation Preconditioner for Simulation of a PEM Fuel Cell Cathode Catalyst Layer

  Kyle J. Lange, Pang-Chieh Sui & Ned Djilali

  2013-09-05

  40255 3930 Pages:537-573

• New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

  Liping Gao & Dong Liang

  2012-11-01

  39228 4210 Pages:1673-1696

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang & Tao Zhou

  2010-08-01

  40234 4619 Pages:226-248

• Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2024-10-29

  21846 1189 Pages:877-907

• An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

  Yanlong Zhang, Jiming Wu

  2025-09-02

  10142 548 Pages:783-809

• Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

  Xiangjun Meng, Xuelian Bao, Zhengru Zhang

  2025-01-22

  15521 944 Pages:137-170

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  15867 892 Pages:30-60

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk & Zhaoxia Yang

  2018-04-02

  41203 3341 Pages:1225-1245

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu & Xin He

  2018-04-02

  42649 4424 Pages:287-316

• Numerical Approximation of a Compressible Multiphase System

  Remi Abgrall & Harish Kumar

  2014-05-05

  42932 4017 Pages:1237-1265

• Galerkin Spectral Method Applied to the Chemical Master Equation

  Stefan Engblom

  2009-05-01

  38746 4076 Pages:871-896

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  6418 437 Pages:887-922

• Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5244 600 Pages:74-108

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28279 1890 Pages:1309-1326

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36696 1938 Pages:1155-1193

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

  Jingfeng Wang, Guanghui Hu

  2024-04-10

  24603 2221 Pages:579-608 Open-access

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26459 2242 Pages:313-368

• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  2024-01-31

  28585 2619 Pages:212-238

• Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

  Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun

  2023-10-07

  34242 2776 Pages:837-868

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33711 3342 Pages:173-207

• Adaptive Ensemble Kalman Inversion with Statistical Linearization

  Yanyan Wang, Qian Li, Liang Yan

  2023-06-06

  41258 3027 Pages:1357-1380

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32683 3189 Pages:733-763 Open-access

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46411 3288 Pages:1094-1128

• A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

  Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt

  2022-10-28

  47465 3485 Pages:1039-1060

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45561 3252 Pages:1402-1433