Search Results

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

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  DOI:10.4208/cicp.OA-2023-0199

  26961 1831 pp. 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

  DOI:10.4208/cicp.OA-2024-0023

  28125 2049 pp. 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

  DOI:10.4208/cicp.250214.130814a

  40977 3028 pp. 317-336

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

  Yan Xu, Chi-Wang Shu

  2010-07-01

  DOI:10.4208/cicp.2009.09.023

  42255 4906 pp. 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

  208 85 pp. 449-478

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

  S. Qamar & G. Warnecke

  2006-01-01

  38521 4034 pp. 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

  DOI:10.4208/cicp.OA-2024-0095

  5374 896 pp. 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

  DOI:10.4208/cicp.OA-2023-0274

  35802 1899 pp. 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

  DOI:10.4208/cicp.OA-2023-0061

  31586 2735 pp. 1043-1078

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

  Dan Ling, Huazhong Tang

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0065

  31243 2715 pp. 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

  DOI:10.4208/cicp.OA-2022-0096

  42407 3169 pp. 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

  DOI:10.4208/cicp.OA-2022-0111

  39097 3182 pp. 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

  DOI:10.4208/cicp.OA-2021-0235

  42379 3776 pp. 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

  DOI:10.4208/cicp.OA-2021-0127

  49320 4002 pp. 94-130

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  DOI:10.4208/cicp.OA-2020-0198

  48629 3229 pp. 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

  DOI:10.4208/cicp.OA-2020-0046

  45052 3353 pp. 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

  DOI:10.4208/cicp.OA-2020-0096

  45860 3336 pp. 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

  DOI:10.4208/cicp.OA-2020-0199

  64108 3617 pp. 2075-2108

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

  Jun Zhu, Jianxian Qiu

  2020-07-30

  DOI:10.4208/cicp.OA-2018-0156

  44990 3885 pp. 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

  DOI:10.4208/cicp.2019.js60.15

  47370 3378 pp. 1530-1574

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

  Lin Fu

  2019-07-02

  DOI:10.4208/cicp.OA-2018-0176

  48721 3327 pp. 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

  DOI:10.4208/cicp.OA-2018-0034

  50368 5375 pp. 87-113

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

  Kun Wang, Jian Cheng, Tiegang Liu

  2019-01-10

  DOI:10.4208/cicp.OA-2017-0088

  47535 3947 pp. 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

  DOI:10.4208/cicp.OA-2017-0032

  48087 3560 pp. 1355-1392

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

  Zhen Gao, Guanghui Hu

  2017-10-02

  DOI:10.4208/cicp.OA-2016-0200

  46553 3368 pp. 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

  DOI:10.4208/cicp.OA-2015-0024

  41592 4735 pp. 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

  DOI:10.4208/cicp.130715.010216a

  40589 3221 pp. 835-869