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• Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

  Tianjun Wang, Benyu Guo & Wei Li

  2021-07-01

  36126 3869 Pages:579-600

• A Numerical Study for the Performance of the WENO Schemes Based on Different Numerical Fluxes for the Shallow Water Equations

  Changna Lu, Jianxian Qiu & Ruyun Wang

  2021-07-01

  35856 3764 Pages:807-825

• The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems

  Liping He, Shunkai Sun

  2004-10-02

  33951 3738 Pages:753-768

• A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

  Xiao-Nan Wu, You-Lan Zhu

  2002-02-02

  33322 3904 Pages:1-14

• High Accuracy for Mixes Finite Element Methods in Raviart-Thomas Element

  Q. Lin & J. H. Pan

  1996-04-02

  33107 3298 Pages:175-182

• Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method

  Quan-Sheng Xu & You-Lan Zhu

  1985-03-01

  34606 3981 Pages:8-18

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  2026-02-15

  2255 163 Pages:165-190

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  139 85

• A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

  Jingrun Chen, Shi Jin, Liyao Lyu

  2023-11-08

  29591 2596 Pages:1281-1304

• Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  6155 492 Pages:918-975

• A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics

  Davide Forti, A. Quarteroni, Simone Deparis

  2018-08-22

  37713 4110 Pages:363-380 Open-access

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng & Thomas Lewis

  2018-08-22

  36870 4874 Pages:107-135 Open-access

• Highly Oscillatory Diffusion-Type Equations

  Sevda Üsküplü Altınbaşak, Marissa Condon, Alfredo Deaño & Arieh Iserles

  2021-07-01

  36787 3960 Pages:549-572

• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

  Xiufang Feng, Zhilin Li, & Zhonghua Qiao

  2018-08-22

  36350 4338 Pages:324-340 Open-access

• Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

  Xia Ji, Wei Cai & Pingwen Zhang

  2018-08-07

  32286 3663 Pages:347-364

• Splitting Extrapolations for Solving Boundary Integral Equations of Linear Elasticity Dirichlet Problems on Polygons by Mechanical Quadrature Methods

  Jin Huang & Tao Lu

  2018-08-15

  33159 3957 Pages:9-18

• The Relaxing Schemes for Hamilton-Jacobi Equations

  Hua-Zhong Tang, Hua-Mu Wu

  2001-06-02

  33053 3545 Pages:231-240

• MUSCL Type Schemes and Discrete Entropy Conditions

  N. Zhao & H. M. Wu

  1997-02-02

  33186 3774 Pages:72-80

• A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2026-04-15

  2784 121 Pages:394-426

• A DRS-Based Path-Following Algorithm for Linear Programming

  Yiyang Liu, Haoyang Liu, Hantao Nie, Zaiwen Wen

  2025-09-28

  4794 417 Pages:1141-1168

• High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

  Yupeng Ren, Yulong Xing, Jianxian Qiu

  2023-11-08

  27557 2838 Pages:1064-1092

• Monotone Approximation to a System Without Monotone Nonlinearity

  Yuan-Ming Wang, Ben-Yu Guo

  2000-04-02

  31117 3356 Pages:207-224

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  30831 2906 Pages:395-414

• High Accuracy Analysis of the Wilson Element

  Ping Luo & Qun Lin

  1999-04-02

  32653 3401 Pages:113-124

• Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

  Fang Chen, Meng Li, Yanmin Zhao

  2024-11-21

  16131 1430 Pages:641-672

• A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks

  Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright

  2024-01-16

  25808 2144 Pages:570-596

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29360 2742 Pages:217-247