Search Results

• Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  23010 1394 Pages:908-942

• Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems

  Peng Wang, Jialin Hong, Dongsheng Xu

  2018-04-08

  41488 4687 Pages:237-270

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48592 3438 Pages:979-1029

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3142 Pages:1150-1184

• 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

• Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics

  Jian Zhao, Huazhong Tang

  2017-09-02

  41719 3352 Pages:643-682

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  Jialin Hong, Shanshan Jiang, Chun Li, Hongyu Liu

  2007-02-01

  39161 3987 Pages:662-683

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  2014 215 Pages:661-695

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  43056 3775 Pages:222-258

• Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

  Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu, Mengping Zhang

  2019-04-28

  48753 3371 Pages:631-653

• Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

  Jialin Hong, Linghua Kong

  2010-07-01

  39996 3719 Pages:613-630

• Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

  Jianxian Qiu, Tiegang Liu, Boo Cheong Khoo

  2018-03-24

  39606 3922 Pages:479-504

• Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

  Rui Li, Haijian Yang, Chao Yang

  2021-10-26

  47582 3279 Pages:1499-1528

• Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

  X. Liang, A. Q. M. Khaliq, Y. Xing

  2020-07-30

  40065 3031 Pages:510-541

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36255 2996 Pages:992-1034

• Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

  Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia, Songhe Song

  2018-12-08

  49850 3603 Pages:1127-1143

• Analysis and Computation for a Fluid Mixture Model

  Qunlei Jiang, Zhilin Li, Sharon R. Lubkin

  2018-04-11

  41656 3694 Pages:620-634

• Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

  Bhuvana Srinivasan, Ammar Hakim, Uri Shumlak

  2011-10-01

  39417 4491 Pages:183-215

• Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

  Jun Zhu, Jianxian Qiu

  2012-11-01

  42586 4218 Pages:985-1005

• An Essential Extension of the Finite-Energy Condition for Extended Runge-Kutta-Nyström Integrators when Applied to Nonlinear Wave Equations

  Lijie Mei, Changying Liu, Xinyuan Wu

  2017-09-02

  41690 3361 Pages:742-764

• IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

  Georgij Bispen, K. R. Arun, Maria Lukacova-Medvid'ova, Sebastian Noelle

  2014-08-03

  42482 4053 Pages:307-347

• A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

  Fatih Cevik, Kahraman Albayrak

  2018-04-09

  42317 3412 Pages:393-421

• Recent Progress in Symplectic Algorithms for Use in Quantum Systems

  Xue-Shen Liu, Yue-Ying Qi, Jian-Feng Hei, Pei-Zhu Ding

  2007-02-01

  39669 4730 Pages:1-53 Open-access

• On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

  Alexander V. Rodionov

  2023-10-07

  34176 2753 Pages:749-786

• Higher Order Accurate Bounds Preserving Time-Implicit Discretizations for the Chemically Reactive Euler Equations

  Fengna Yan, J. J. W. Van der Vegt, Yinhua Xia, Yan Xu

  2025-09-05

  3765 390 Pages:1017-1052

• Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

  Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang

  2024-12-02

  15992 1214 Pages:1262-1306

• On Dissipation and Dispersion Errors Optimization, A-Stability and SSP Properties

  Arman Rokhzadi, Abdolmajid Mohammadian

  2018-09-17

  44985 5871 Pages:268-285