Search Results

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

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  22868 1342 Pages:908-942

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

  Peng Wang, Jialin Hong & Dongsheng Xu

  2018-04-08

  41385 4600 Pages:237-270

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

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 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

  47691 3101 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

  45738 3295 Pages:1030-1058

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

  Jian Zhao & Huazhong Tang

  2017-09-02

  41630 3320 Pages:643-682

• Explicit Multi-Symplectic Methods for Hamiltonian Wave Equations

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

  2007-02-01

  39080 3955 Pages:662-683

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

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  1767 120 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

  42935 3698 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

  48649 3333 Pages:631-653

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

  Jialin Hong & Linghua Kong

  2010-07-01

  39899 3687 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

  39528 3879 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

  47399 3248 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

  39993 3001 Pages:510-541

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36140 2956 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

  49760 3564 Pages:1127-1143

• Analysis and Computation for a Fluid Mixture Model

  Qunlei Jiang, Zhilin Li & Sharon R. Lubkin

  2018-04-11

  41558 3657 Pages:620-634

• Numerical Methods for Two-Fluid Dispersive Fast MHD Phenomena

  Bhuvana Srinivasan, Ammar Hakim & Uri Shumlak

  2011-10-01

  39338 4434 Pages:183-215

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

  Jun Zhu & Jianxian Qiu

  2012-11-01

  42498 4175 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

  41592 3322 Pages:742-764

• 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

  42362 4024 Pages:307-347

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

  Fatih Cevik & Kahraman Albayrak

  2018-04-09

  42228 3371 Pages:393-421

• 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

  39582 4656 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

  34074 2706 Pages:749-786

• 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

  15876 1169 Pages:1262-1306

• 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

  3586 346 Pages:1017-1052

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

  Arman Rokhzadi & Abdolmajid Mohammadian

  2018-09-17

  44867 5761 Pages:268-285