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Error analysis of splitting methods for semilinear evolution equations

Masahito OhtaTakiko Sasaki — 2017

Applications of Mathematics

We consider a Strang-type splitting method for an abstract semilinear evolution equation t u = A u + F ( u ) . Roughly speaking, the splitting method is a time-discretization approximation based on the decomposition of the operators A and F . Particularly, the Strang method is a popular splitting method and is known to be convergent at a second order rate for some particular ODEs and PDEs. Moreover, such estimates usually address the case of splitting the operator into two parts. In this paper, we consider the splitting...

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