Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg–de Vries equation-Reference-Cited by-同舟云学术

Superconvergence of the local discontinuous Galerkin method for the linearized Korteweg–de Vries equation

Published:2014-01 Issue: Volume:255 Page:441-455
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Hufford Casey,Xing Yulong

Funder

NSF

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference30 articles.

1. On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary wave;Korteweg;Philosophical Magazine,1895

2. M.A. Smith, On the linearized Korteweg-de Vries equation. Master’s thesis, University of Tennessee, 1995.

3. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case;Cockburn;Mathematics of Computation,1990

4. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one dimensional systems;Cockburn;Journal of Computational Physics,1989

5. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework;Cockburn;Mathematics of Computation,1989

Cited by 29 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations;SIAM Journal on Matrix Analysis and Applications;2024-01-23

2. Stability analysis and error estimates of implicit Runge-Kutta local discontinuous Galerkin methods for linear bi-harmonic equation;Computers & Mathematics with Applications;2023-11

3. Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation;Communications on Applied Mathematics and Computation;2023-07-25

4. Local discontinuous Galerkin methods for diffusive–viscous wave equations;Journal of Computational and Applied Mathematics;2023-02

5. A New Conservative Discontinuous Galerkin Method via Implicit Penalization for the Generalized Korteweg–de Vries Equation;SIAM Journal on Numerical Analysis;2022-12-09