Search Results

• Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

  Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min & Huayong Liu

  2018-04-03

  39697 3059 Pages:673-706

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47691 3101 Pages:1150-1184

• High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

  Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu

  2019-08-27

  47237 3332 Pages:1530-1574

• A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

  Ravi Kannan

  2012-12-01

  40402 3847 Pages:767-788

• Benchmark Computation of Morphological Complexity in the Functionalized Cahn-Hilliard Gradient Flow

  Andrew Christlieb, Keith Promislow, Zengqiang Tan, Sulin Wang, Brian Wetton, Steven M. Wise

  2025-04-27

  9308 731 Pages:877-920 Open-access

• Joint Optimization of the Spatial and the Temporal Discretization Scheme for Accurate Computation of Acoustic Problems

  Jitenjaya Pradhan, Saksham Jindal, Bikash Mahato & Yogesh G. Bhumkar

  2018-09-17

  47144 3266 Pages:408-434

• A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms: Formulation and Analysis for Third Derivative Spatial Terms Using the LDG Discretization Procedure

  Ravi Kannan

  2011-10-01

  38913 4135 Pages:1257-1279

• A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

  Jun Zhu, Jianxian Qiu

  2020-07-30

  44869 3849 Pages:897-920

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48366 3324 Pages:396-422

• Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

  Ruotai Li, Qiang Du, Lei Zhang

  2021-01-13

  47399 3435 Pages:729-746

• Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

  Xiaoling Liu & Chuanju Xu

  2018-04-09

  41899 3392 Pages:1408-1428

• Comparison of Finite Difference and Mixed Finite Element Methods for Perfectly Matched Layer Models

  V. A. Bokil & M. W. Buksas

  2007-02-01

  38697 3995 Pages:806-826

• On the Finite Differences Used in Reacting Flow Simulations

  Robert Prosser

  2018-04-03

  39791 3135 Pages:558-576

• A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations

  Qi Li, Song Jiang, Wenjun Sun

  2025-08-08

  4583 457 Pages:317-347

• A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

  Xijun He, Dinghui Yang, Xiao Ma

  2020-06-05

  49580 4519 Pages:372-400

• An Adaptive Moving Mesh Discontinuous Galerkin Method for the Radiative Transfer Equation

  Min Zhang, Juan Cheng, Weizhang Huang, Jianxian Qiu

  2020-02-23

  50958 3251 Pages:1140-1173

• Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

  Zhanjing Tao, Zhengfu Xu, Jianxian Qiu

  2026-01-18

  207 43 Pages:1164-1198

• Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

  Ruihan Guo & Yan Xu

  2020-07-30

  40305 3095 Pages:424-457

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24991 2119 Pages:498-523

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  32942 2737 Pages:357-391

• Full Discretization Scheme for the Dynamics of Elliptic Membrane Shell Model

  Xiaoqin Shen, Qian Yang, Lin Bai, Kaitai Li

  2020-11-26

  47615 4332 Pages:186-210

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  49755 3666 Pages:1470-1484

• Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

  Dianming Hou, Mejdi Azaïez, Chuanju Xu

  2019-08-27

  54103 3665 Pages:1415-1443

• Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

  Philippe Angot, Rima Cheaytou

  2019-07-02

  45486 4554 Pages:1008-1038 Open-access

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo & Yan Xu

  2019-02-25

  50240 5305 Pages:87-113

• A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

  Jun Yang, Wei Cai & Xiaoping Wu

  2018-04-09

  43178 3318 Pages:1065-1089

• Solving Maxwell's Equation in Meta-Materials by a CG-DG Method

  Ziqing Xie, Jiangxing Wang, Bo Wang & Chuanmiao Chen

  2020-07-31

  41779 3279 Pages:1242-1264