Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving hyperbolic systems. Part II: Nonreflecting boundary conditions-Reference-Cited by-同舟云学术

Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving hyperbolic systems. Part II: Nonreflecting boundary conditions

Published:2019-08 Issue: Volume:356 Page:267-292
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Lakoba T.I.,Deng Z.

Funder

U.S. National Science Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference18 articles.

1. Stability analysis of the numerical method of characteristics applied to energy-preserving systems. Part i: periodic boundary conditions;Lakoba;J. Comput. Appl. Math.,2019

2. Numerical Methods for Ordinary Differential Equations;Griffiths,2010

3. Difference Methods for Initial-Value Problems;Richtmyer,1967

4. Finite Difference Schemes and Partial Differential Equations;Strikwerda,2004

5. A Theoretical Introduction to Numerical Analysis;Ryaben’kii,2007

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1. Higher‐order explicit schemes based on the method of characteristics for hyperbolic equations with crossing straight‐line characteristics;Numerical Methods for Partial Differential Equations;2021-03-22

2. Numerical treatment of boundary conditions to reduce high-frequency artifacts in simulations of distributed-feedback lasers;IEEE Journal of Selected Topics in Quantum Electronics;2021

3. Stability analysis of the numerical Method of characteristics applied to a class of energy-preserving hyperbolic systems. Part I: Periodic boundary conditions;Journal of Computational and Applied Mathematics;2019-08