Search Results

• Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

  Yufei Wang, Ziju Shen, Zichao Long, Bin Dong

  2020-11-18

  DOI:10.4208/cicp.OA-2020-0194

  62676 3497 pp. 2158-2179

• 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

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  DOI:10.4208/cicp.OA-2024-0123

  12321 905 pp. 420-456

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part I: 1D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-09-04

  DOI:10.4208/cicp.OA-2022-0285

  35668 2891 pp. 290-317

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang, Guo-Wei Wei

  2014-11-08

  DOI:10.4208/cicp.031113.160514a

  43318 5659 pp. 1201-1238

• Role of Fluxes in High-Order Godunov Schemes

  Matania Ben-Artzi

  2026-05-01

  DOI:10.4208/cicp.OA-2024-0238

  230 44 pp. 1405-1420

• First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2026-01-15

  DOI:10.4208/cicp.OA-2024-0260

  3380 409 pp. 1-28

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  DOI:10.4208/cicp.OA-2023-0026

  77238 3710 pp. 907-933

• The Unified Coordinate System in Computational Fluid Dynamics

  W. H. Hui

  2007-02-01

  39231 4190 pp. 577-610

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  DOI:10.4208/cicp.OA-2024-0299

  3802 363 pp. 953-986

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  DOI:10.4208/cicp.OA-2022-0030

  303127 3368 pp. 364-400

• 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 Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphael Loubere, Michael Dumbser, Steven Diot

  2014-12-08

  DOI:10.4208/cicp.181113.140314a

  39691 3901 pp. 718-763

• On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

  Michael Dumbser, Eleuterio F. Toro

  2011-10-01

  DOI:10.4208/cicp.170610.021210a

  39641 4380 pp. 635-671

• High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  DOI:10.4208/cicp.OA-2024-0058

  832 183 pp. 1059-1102

• A Compact High Order Space-Time Method for Conservation Laws

  Shuangzhang Tu, Gordon W. Skelton, Qing Pang

  2018-03-27

  DOI:10.4208/cicp.050309.110510a

  37460 3909 pp. 441-480

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  DOI:10.4208/cicp.OA-2023-0211

  25513 2191 pp. 693-723

• Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

  Jialing Wang, Yushun Wang, Dong Liang

  2020-07-30

  DOI:10.4208/cicp.OA-2018-0160

  44852 3769 pp. 828-860

• Convergence Analysis for a Finite Volume Evolution Galerkin Method for Multidimensional Hyperbolic Systems

  Mária Lukáčová-Medviďová, Zhuyan Tang, Yuhuan Yuan

  2026-05-01

  DOI:10.4208/cicp.OA-2024-0271

  222 41 pp. 1479-1511

• 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

• Efficient Preconditioners for a Shock Capturing Space-Time Discontinuous Galerkin Method for Systems of Conservation Laws

  Andreas Hiltebrand, Siddhartha Mishra

  2018-04-02

  DOI:10.4208/cicp.140214.271114a

  40947 3385 pp. 1320-1359

• Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  DOI:10.4208/cicp.OA-2024-0225

  5398 693 pp. 74-108

• 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

• Parameter Identification in Uncertain Scalar Conservation Laws Discretized with the Discontinuous Stochastic Galerkin Scheme

  Louisa Schlachter, Claudia Totzeck

  2020-08-27

  DOI:10.4208/cicp.OA-2019-0221

  48410 3042 pp. 1585-1608

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  DOI:10.4208/cicp.OA-2019-0029

  49898 3699 pp. 1470-1484

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  DOI:10.4208/cicp.OA-2019-0059

  50187 3381 pp. 949-975