The SBP-SAT Technique for Initial Value Problems

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Nyckelord

time integration

initial value problems

high order accuracy

initial boundary value problems

boundary conditions

global methods

stability

convergence

summation-by-parts operators

stiff problems.

Publikations- och innehållstyp

vet (ämneskategori)

rap (ämneskategori)