• Media type: E-Book; Report; Text
  • Title: Additive splitting methods for parallel solution of evolution problems
  • Contributor: Amiranashvili, Shalva [Author]; Radziunas, Mindaugas [Author]; Bandelow, Uwe [Author]; Busch, Kurt [Author]; Čiegis, Raimondas [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2020
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2767
  • Keywords: 65Y20 ; 65N12 ; article ; 41A25 ; Splitting method -- Richardson extrapolation -- nonlinear Schrödinger equation -- nonlinear optics ; 65Y05 ; 68W10 ; 68Q25
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  • Description: We demonstrate how a multiplicative splitting method of order P can be used to construct an additive splitting method of order P + 3. The weight coefficients of the additive method depend only on P, which must be an odd number. Specifically we discuss a fourth-order additive method, which is yielded by the Lie-Trotter splitting. We provide error estimates, stability analysis, and numerical examples with the special discussion of the parallelization properties and applications to nonlinear optics.