Dimension splitting for evolution equations

Eskil Hansen, Alexander Ostermann

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Sammanfattning

In this paper, we are concerned with splitting methods for the time integration of abstract evolution equations. We introduce an analytic framework which allows us to prove optimal convergence orders for various splitting methods, including the Lie and Peaceman–Rachford splittings. Our setting is applicable for a wide variety of linear equations and their dimension splittings. In particular, we analyze parabolic problems with Dirichlet boundary conditions, as well as degenerate equations on bounded domains. We further illustrate our theoretical results with a set of numerical experiments.
Originalspråkengelska
Sidor (från-till)557-570
TidskriftNumerische Mathematik
Volym108
Nummer4
DOI
StatusPublished - 2008
Externt publiceradJa

Ämnesklassifikation (UKÄ)

  • Elektroteknik och elektronik

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