Stepsize restrictions for total-variation-boundedness in general Runge–Kutta procedures-Reference-Cited by-同舟云学术

Stepsize restrictions for total-variation-boundedness in general Runge–Kutta procedures

Published:2005-05 Issue:2-4 Volume:53 Page:265-279
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Ferracina L.,Spijker M.N.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference28 articles.

1. Numerical Methods for Ordinary Differential Equations;Butcher,2003

2. TVB Runge–Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework;Cockburn;Math. Comp.,1989

3. Stability of Runge–Kutta Methods for Stiff Nonlinear Differential Equations;Dekker,1984

4. Stepsize restrictions for the total-variation-diminishing property in general Runge–Kutta methods;Ferracina;SIAM J. Numer. Anal.,2004

5. An extension and analysis of the Shu–Osher representation of Runge–Kutta methods;Ferracina;Math. Comp.,2005

Cited by 18 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. RK-stable second derivative multistage methods with strong stability preserving based on Taylor series conditions;Computational and Applied Mathematics;2023-05-26

2. Strong Stability Preserving Runge–Kutta and Linear Multistep Methods;Bulletin of the Iranian Mathematical Society;2022-12

3. HIGH ORDER EXPLICIT SECOND DERIVATIVE METHODS WITH STRONG STABILITY PROPERTIES BASED ON TAYLOR SERIES CONDITIONS;The ANZIAM Journal;2022-07

4. Strong stability preserving implicit and implicit–explicit second derivative general linear methods with RK stability;Computational and Applied Mathematics;2022-04-13

5. Strong Stability Preserving IMEX Methods for Partitioned Systems of Differential Equations;Communications on Applied Mathematics and Computation;2021-10-30