A variational approach to the sum splitting scheme

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Sammanfattning

Nonlinear parabolic equations are frequently encountered in applications and efficient approximating techniques for their solution are of great importance. In order to provide an effective scheme for the temporal approximation of such equations, we present a sum splitting scheme that comes with a straightforward parallelization strategy. The convergence analysis is carried out in a variational framework that allows for a general setting and, in particular, nontrivial temporal coefficients. The aim of this work is to illustrate the significant advantages of a variational framework for operator splittings and to use this to extend semigroup-based theory for this type of scheme.


Originalspråkengelska
Sidor (från-till)923-950
TidskriftIMA Journal of Numerical Analysis
Volym42
Nummer1
DOI
StatusPublished - 2022 jan. 20

Ämnesklassifikation (UKÄ)

  • Beräkningsmatematik

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