The SBP-SAT technique for initial value problems

JOURNAL OF COMPUTATIONAL PHYSICS

卷:270

Article

Lundquist, Tomas¹  Nordstrom, Jan¹ 

[1] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

关键词: Time integration;    Initial value problems;    High order accuracy;    Initial boundary value problems;    Boundary conditions;    Global methods;    Stability;    Convergence;    Summation-by-parts operators;    Stiff problems;   

DOI  :  10.1016/j.jcp.2014.03.048

来源: Elsevier

【 摘 要 】

A detailed account of the stability and accuracy properties of the SBP-SAT technique for numerical time integration is presented. We show how the technique can be used to formulate both global and multi-stage methods with high order of accuracy for both stiff and non-stiff problems. Linear and non-linear stability results, including A-stability, L-stability and B-stability are proven using the energy method for general initial value problems. Numerical experiments corroborate the theoretical properties. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free