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

• 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

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

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

  2025-09-29

  5129 302 Pages:1591-1624

• A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

  Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You

  2014-06-01

  43070 4465 Pages:637-662

• On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

  Ozgur Yildirim

  2025-11-22

  197 2

• 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

  44516 3089 Pages:911-941

• 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 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

• Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  44930 4414 Pages:809-824

• The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian, Mehdi Dehghan

  2023-04-11

  38309 3187 Pages:1023-1055

• Effect of Nonuniform Grids on High-Order Finite Difference Method

  Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong

  2018-05-05

  40777 2846 Pages:1012-1034

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  41812 4130 Pages:181-203

• A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

  Can Li, Weihua Deng

  2018-05-05

  42130 3001 Pages:282-306

• Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

  Boya Zhang, Yaming Chen, Songhe Song

  2018-09-17

  44849 3101 Pages:343-361

• A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

  Xueying Wen, Yanhui Zhou

  2023-04-11

  37763 3178 Pages:901-931

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42409 4603 Pages:496-518

• Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

  Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan

  2021-07-01

  48803 4424 Pages:1358-1375

• The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian

  2025-05-12

  8325 494 Pages:1275-1309

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  43243 4292 Pages:719-736

• New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

  Yan Zhang, Jun Zhu

  2024-01-04

  26800 2430 Pages:459-492

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

  2023-12-21

  26519 2291 Pages:47-74

• Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

  Maoping Wang, Weihua Deng

  2025-10-29

  4501 112 Pages:724-755

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  56294 4549 Pages:1418-1439

• Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

  Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li

  2023-10-11

  71719 3037 Pages:1379-1406

• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  26270 2408 Pages:833-859

• Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

  Xiaowei Chen, Xu Qian, Songhe Song

  2022-10-24

  45500 4076 Pages:159-181

• 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

  41886 4574 Pages:353-385 Open-access