The SBP-SAT Technique for Initial Value Problems
2013 (English)Report (Other academic)
A detailed account of the stability and accuracy properties of the SBP-SATtechnique for numerical time integration is presented. We show how thetechnique can be used to formulate both global and multi-stage methods withhigh order of accuracy for both stiff and non-stiff problems. Linear and non-linear stability results, including A-stability, L-stability and B-stability areproven using the energy method for general initial value problems. Numericalexperiments corroborate the theoretical properties.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2013. , 32 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2013:14
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-102010ISRN: LiTH-MAT-R--2013/14--SEOAI: oai:DiVA.org:liu-102010DiVA: diva2:667389