Search Results

• 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

  46260 3247 Pages:1064-1095

• High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

  Shujiang Tang

  2024-05-14

  25344 2419 Pages:980-1008

• 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

  11582 918 Pages:732-757

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  848 94 Pages:1242-1268

• A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

  Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang

  2022-01-24

  41202 3418 Pages:469-493

• Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

  Liang Ge, Haifeng Niu, Jianwei Zhou

  2021-11-18

  50103 4521 Pages:33-55

• 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

  7393 499 Pages:1591-1624

• Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

  Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt

  2026-02-01

  5411 474 Pages:134-169

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

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  51294 4914 Pages:58-82

• 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

• 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 Novel Low-Dimensional Method for Analytically Solving Partial Differential Equations

  Jie Sha, Lixiang Zhang, Chuijie Wu

  2021-07-01

  43012 4203 Pages:754-779

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  119097 6101 Pages:1318-1354

• 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

• 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 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

• 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

• Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

  Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao

  2012-04-01

  42020 4653 Pages:439-453

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  8722 593 Pages:1204-1238

• Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

  Yuping Li, Hui Liang, Huifang Yuan

  2025-05-12

  8930 602 Pages:1111-1132

• Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

  Danni Zhang, Ruihan Guo

  2023-02-24

  39136 3550 Pages:545-567

• Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

  Liping Zhou, Shi Shu, Haiyuan Yu

  2018-09-17

  44153 3237 Pages:362-389

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  1026 84 Pages:1155-1188

• New Residual Based Stabilization Method for the Elasticity Problem

  Minghao Li, Dongyang Shi, Ying Dai

  2018-09-17

  45820 5158 Pages:100-113

• A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

  2019-01-11

  45451 3420 Pages:360-380

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  15440 1451 Pages:1451-1473

• 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

  13654 1337 Pages:373-406