The SBP-SAT Technique for Initial Value Problems
2014 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 270, 86-104 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Elsevier, 2014. Vol. 270, 86-104 p.
time integration, initial value problems, high order accuracy, initial boundary value problems, boundary conditions, global methods, stability, convergence, summation-by-parts operators, stiff problems
IdentifiersURN: urn:nbn:se:liu:diva-105802DOI: 10.1016/j.jcp.2014.03.048ISI: 000336406200006OAI: oai:DiVA.org:liu-105802DiVA: diva2:710647