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• Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  44841 3765 Pages:828-860

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  77225 3700 Pages:907-933

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-09-04

  35658 2886 Pages:290-317

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  62653 3497 Pages:2158-2179

• Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

  Walter Boscheri, Michael Dumbser

  2013-11-05

  40598 3990 Pages:1174-1206

• LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

  Linghua Kong, Jialin Hong, Jingjing Zhang

  2014-07-05

  39266 4839 Pages:219-241

• Adaptive Conservative Cell Average Spectral Element Methods for Transient Wigner Equation in Quantum Transport

  Sihong Shao, Tiao Lu, Wei Cai

  2011-03-05

  39602 3982 Pages:711-739

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  24026 1665 Pages:348-388

• A Five-Point TENO Scheme with Adaptive Dissipation Based on a New Scale Sensor

  Haohan Huang, Tian Liang, Lin Fu

  2023-05-12

  36267 3052 Pages:1106-1131

• The First- and Second-Order Energy Stable, Mass Conservative and Bounds-Preserving Schemes for Two-Phase Incompressible Flow with Rock Compressibility

  Yujing Yan, Huangxin Chen, Xiaoli Li

  2026-01-18

  798 170 Pages:1332-1362

• A Compact High Order Space-Time Method for Conservation Laws

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2018-03-27

  37458 3906 Pages:441-480

• A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

  Ziyao Sun, Honghui Teng, Feng Xiao

  2020-07-31

  39078 3096 Pages:901-930

• Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations

  Stéphane Brull, Corentin Prigent

  2020-08-27

  49205 3209 Pages:1274-1304

• A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

  Angela Ferrari, Claus-Dieter Munz, Bernhard Weigand

  2011-09-01

  39189 4484 Pages:205-230

• Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

  C. Besse, T. Goudon

  2010-08-01

  40992 4177 Pages:1139-1182

• Full-Waveform Inversion with Unbalanced Optimal Transport Metric for Seismic Imaging

  Liangrong Wang, Xingpeng Dong, Dinghui Yang

  2026-04-10

  19 8 Pages:129-152

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

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5392 687 Pages:74-108

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50181 3379 Pages:949-975

• 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

  40583 3219 Pages:835-869

• The Space-Time CE/SE Method for Solving Reduced Two-Fluid Flow Model

  Shamsul Qamar, Munshoor Ahmed, Ishtiaq Ali

  2012-12-01

  40420 4253 Pages:1070-1095

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  9579 576 Pages:975-1007

• A Novel Multipoint Stress Control Volume Method for Linear Elasticity on Quadrilateral Grids

  Shubin Fu, Lina Zhao

  2025-07-11

  5247 636 Pages:285-316

• Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

  Qian Zhang, Yan Xu, Chi-Wang Shu

  2021-05-25

  50983 3312 Pages:321-356

• An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation

  Nianyu Yi, Hailiang Liu

  2018-08-21

  46615 3277 Pages:747-772

• A Local Velocity Grid Approach for BGK Equation

  Florian Bernard, Angelo Iollo, Gabriella Puppo

  2014-10-08

  41903 3959 Pages:956-982

• A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

  Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang

  2026-01-18

  723 107 Pages:1199-1230

• Steady-State Simulation of Euler Equations by the Discontinuous Galerkin Method with the Jump Filter

  Lei Wei, Yinhua Xia

  2026-01-18

  764 146 Pages:1103-1136