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

  62322 3419 Pages: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

  47875 3503 Pages:1355-1392

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

  Taeyoung Kim, Myungjoo Kang

  2025-09-02

  204 76 Pages: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

  35379 2818 Pages:290-317

• Simulation of Inviscid Compressible Flows Using PDE Transform

  Langhua Hu, Siyang Yang & Guo-Wei Wei

  2014-11-08

  43159 5609 Pages:1201-1238

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

  Hao-Chen Wang, Meilin Yu, Heng Xiao

  2025-11-07

  2687 152 Pages: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

  76945 3630 Pages:907-933

• The Unified Coordinate System in Computational Fluid Dynamics

  W. H. Hui

  2007-02-01

  39056 4107 Pages:577-610

• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3509 292 Pages:953-986

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

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302871 3313 Pages: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

  63767 3554 Pages:2075-2108

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

  Raphaël Loubère, Michael Dumbser & Steven Diot

  2014-12-08

  39523 3826 Pages:718-763

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

  Michael Dumbser & Eleuterio F. Toro

  2011-10-01

  39448 4299 Pages:635-671

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

  Shuangzhang Tu, Gordon W. Skelton & Qing Pang

  2018-03-27

  37314 3845 Pages:441-480

• Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

  Shi Jin, Zheng Ma, Keke Wu

  2024-04-10

  25172 2100 Pages: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

  44627 3643 Pages:828-860

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

  Gabriella Puppo, Matteo Semplice, Giuseppe Visconti

  2024-07-29

  152 117 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

  154 113 Pages: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

  40820 3326 Pages:1320-1359

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

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5012 494 Pages: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

  31304 2655 Pages:1043-1078

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

  Louisa Schlachter, Claudia Totzeck

  2020-08-27

  48236 2981 Pages: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

  49633 3646 Pages:1470-1484

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

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  49980 3295 Pages:949-975

• An Adaptive High Order WENO Solver for Conservation Laws

  Cheng Liu & Changhong Hu

  2019-04-28

  46620 3441 Pages:719-748

• 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

  40437 3173 Pages:835-869

• A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

  Ziyao Sun, Honghui Teng & Feng Xiao

  2020-07-31

  38930 3038 Pages:901-930