Search Results

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  49137 3346 Pages:436-479

• A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

  Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao

  2021-06-08

  45960 3170 Pages:1064-1095

• A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

  Shide Tan, Haizhuan Yuan, Lijun Hu

  2024-11-01

  16349 1456 Pages:1297-1327

• Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

  Xiaofan Zhang, Shoufu Tian & Jinjie Yang

  2022-04-11

  45043 3573 Pages:893-913

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2025-10-29

  4500 129 Pages:482-518

• Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

  Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan

  2024-12-31

  13213 1219 Pages:373-406

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  42135 3025 Pages:795-817

• An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

  Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei

  2024-12-02

  14316 1048 Pages:123-147

• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2025-11-28

  93 3

• A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

  Shichao Yi, Hongguang Sun

  2019-01-04

  46429 4416 Pages:197-215

• Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

  Lingfa Kong, Yidao Dong, Wei Liu

  2024-07-22

  31446 2389 Pages:1056-1103

• A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  43391 3533 Pages:1059-1086

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45031 3067 Pages:1261-1292

• A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  52399 3492 Pages:992-1007

• Solving Fourth-Order PDEs Using the LMAPS

  Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen

  2020-06-01

  50611 3337 Pages:920-939

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

  Junming Duan, Huazhong Tang

  2020-03-06

  141982 5685 Pages:1-29

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  15838 1410 Pages:1358-1380

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  11029 774 Pages:956-988

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  11235 796 Pages:804-839

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  11206 814 Pages:732-757

• Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  42161 3083 Pages:574-595

• A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

  Hongqiang Lu, Qiang Sun

  2014-06-01

  44541 4935 Pages:135-144

• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

  Seakweng Vong, Zhibo Wang

  2014-06-01

  44256 4570 Pages:419-435

• Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

  Quan Zhou, Yabing Sun

  2021-11-17

  49878 4002 Pages:1293-1317

• A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  50981 4699 Pages:58-82

• $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

  Yiying Wang, Yongkui Zou, Shimin Chai

  2020-12-21

  47617 3168 Pages:554-568

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2025-10-14

  4582 264 Pages:109-113