Operator-splitting methods via the Zassenhaus product formula

DOI10.1016/j.amc.2010.11.007zbMath1209.65099OpenAlexW1975538388MaRDI QIDQ621002

Gamze Tanoglu, Jürgen Geiser

Publication date: 2 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.007

zbMATH Keywords

numerical examplesweighting methodsparabolic differential equationsiterative solver methodoperator-splitting methodZassenhaus product

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

A comparative analysis of local meshless formulation for multi-asset option models ⋮ Local RBF method for multi-dimensional partial differential equations ⋮ Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method ⋮ Higher order operator splitting methods via Zassenhaus product formula: theory and applications ⋮ Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ On the structure and convergence of the symmetric Zassenhaus formula ⋮ Embedded Zassenhaus expansion to splitting schemes: theory and multiphysics applications ⋮ Nonlinear extension of multiproduct expansion schemes and applications to rigid bodies ⋮ On multivariable Zassenhaus formula

Cites Work

• Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
• Splitting methods
• A note on the Zassenhaus product formula
• The Baker–Campbell–Hausdorff formula and nested commutator identities
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