Search Results

• Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  26956 1830 Pages:30-70

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  28122 2048 Pages:1-29

• High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

  Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen

  2020-07-30

  40977 3028 Pages:317-336

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu, Chi-Wang Shu

  2010-07-01

  42255 4905 Pages:1-46 Open-access

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  207 85 Pages:449-478

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38520 4034 Pages:449-478

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5372 896 Pages:181-222

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35800 1898 Pages:1229-1262

• High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

  Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao

  2023-11-08

  31584 2734 Pages:1043-1078

• Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

  Dan Ling, Huazhong Tang

  2023-11-08

  31242 2715 Pages:955-992

• High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

  Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao

  2023-06-06

  42403 3166 Pages:1217-1239

• High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

  Nan Zhang, Zhiping Mao, Tao Xiong

  2023-01-24

  39094 3179 Pages:1474-1509

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42374 3773 Pages:259-298

• A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2021-12-06

  49320 4002 Pages:94-130

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  48627 3228 Pages:1037-1060

• Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

  Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

  2021-03-24

  45050 3353 Pages:1299-1335

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45858 3334 Pages:1030-1058

• Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

  Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu

  2020-11-18

  64091 3616 Pages:2075-2108

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

  Jun Zhu, Jianxian Qiu

  2020-07-30

  44988 3883 Pages:897-920

• 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

  47370 3377 Pages:1530-1574

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48720 3326 Pages:973-1007

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

  Ruihan Guo, Yan Xu

  2019-02-25

  50365 5372 Pages:87-113

• High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

  Kun Wang, Jian Cheng, Tiegang Liu

  2019-01-10

  47533 3947 Pages:1413-1445

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao, Xiaogang Deng

  2018-08-21

  48084 3560 Pages:1355-1392

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao, Guanghui Hu

  2017-10-02

  46553 3368 Pages:1049-1068

• High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

  Walter Boscheri, Raphaël Loubère

  2018-04-08

  41592 4734 Pages:271-312

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu

  2018-04-04

  40586 3219 Pages:835-869