Search Results

• A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

  Zhenming Wang, Jun Zhu, Ning Zhao

  2019-06-24

  44751 3168 Pages:911-941

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  142377 5909 Pages:1-29

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  43895 4731 Pages:166-186

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  43827 4623 Pages:128-144

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  44541 4769 Pages:104-116

• Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

  Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu

  2018-05-05

  44251 4803 Pages:37-51

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  46623 3937 Pages:1384-1417

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  44321 4961 Pages:242-260

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  53184 5389 Pages:22-40

• A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

  Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu

  2018-09-17

  47613 5427 Pages:1-21

• Modified Moving Least Square Collocation Method for Solving Wave Equations

  Zhentian Huang, Dong Lei, Yuan Wang

  2019-01-11

  44284 3027 Pages:518-534

• Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

  Yongxing Hong, Jun Lu, Ji Lin, Wen Chen

  2019-01-04

  46371 5143 Pages:108-131

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  45637 3298 Pages:1084-1113

• Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

  Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan

  2024-12-31

  13709 1344 Pages:489-516

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  11463 818 Pages:758-777

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  8767 621 Pages:1088-1110

• Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

  Yanhong Bai, Yongke Wu, Xiaoping Xie

  2018-05-05

  40966 3150 Pages:399-425

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  42130 4759 Pages:353-385 Open-access

• A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

  Yue Zhou, Hang Xu

  2023-04-11

  37755 3155 Pages:964-983

• A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao

  2023-04-11

  38479 3382 Pages:932-963

• A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

  Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun

  2023-06-21

  37641 3046 Pages:1335-1378

• A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng

  2023-06-21

  38215 3096 Pages:1256-1289

• A Simple Implementation of the Semi-Lagrangian Level-Set Method

  Weidong Shi, Jian-Jun Xu, Shi Shu

  2018-05-05

  43660 4665 Pages:104-124

• A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

  Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan

  2018-05-05

  44981 5508 Pages:1-22

• A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

  Hong Luo, Luqing Luo, Kun Xu

  2018-08-10

  41803 4062 Pages:301-318

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  49744 3325 Pages:1196-1223

• The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

  Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo

  2020-07-24

  44812 3356 Pages:1113-1136