Search Results

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

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  192 80 Pages:908-942

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

  Peng Wang, Jialin Hong & Dongsheng Xu

  2018-04-08

  41307 4508 Pages:237-270

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48292 3371 Pages:979-1029

• 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

  45622 3272 Pages:1030-1058

• 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

  47581 3080 Pages:1150-1184

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

  Jian Zhao & Huazhong Tang

  2017-09-02

  41585 3297 Pages:643-682

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

  J. Hong, S. Jiang, C. Li & H. Liu

  2007-02-01

  38995 3917 Pages:662-683

• 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

  42828 3639 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

  48553 3302 Pages:631-653

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

  Jialin Hong & Linghua Kong

  2010-07-01

  39809 3653 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

  39463 3857 Pages:479-504

• 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

  39930 2985 Pages:510-541

• 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

  47322 3226 Pages:1499-1528

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36016 2932 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

  49667 3533 Pages:1127-1143

• Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

  Bhuvana Srinivasan, Ammar Hakim & Uri Shumlak

  2011-10-01

  39263 4385 Pages:183-215

• Analysis and Computation for a Fluid Mixture Model

  Qunlei Jiang, Zhilin Li & Sharon R. Lubkin

  2018-04-11

  41488 3633 Pages:620-634

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

  Jun Zhu & Jianxian Qiu

  2012-11-01

  42437 4136 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

  41540 3308 Pages:742-764

• A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

  Shan Chen, Dinghui Yang & Xiaoying Deng

  2010-07-01

  38898 4384 Pages:1027-1048

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

  Fatih Cevik & Kahraman Albayrak

  2018-04-09

  42164 3338 Pages:393-421

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

  Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle

  2014-08-03

  42283 3980 Pages:307-347

• Recent Progress in Symplectic Algorithms for Use in Quantum Systems

  X. S. Liu, Y. Y. Qi, J. F. He & P. Z. Ding

  2007-02-01

  39516 4608 Pages:1-53 Open-access

• 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

  3374 299 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

  201 54 Pages:1262-1306

• 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

  33949 2682 Pages:749-786

• Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

  Jun Zhu, Xinghui Zhong, Chi-Wang Shu & Jianxian Qiu

  2018-04-04

  40726 3148 Pages:944-969