Embedded Zassenhaus expansion to splitting schemes: theory and multiphysics applications

DOI10.1155/2013/314290zbMath1293.65124OpenAlexW2055408029WikidataQ58923590 ScholiaQ58923590MaRDI QIDQ2247835

Jürgen Geiser

Publication date: 30 June 2014

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/314290

zbMATH Keywords

convergenceiterative schemecomputational fluid dynamicsoperator splitting methodsZassenhaus product

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Closed forms of the Zassenhaus formula ⋮ Coupled mode analysis of a periodic one-dimensional multimodal fiber bundle

Cites Work

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• Efficient computation of the Zassenhaus formula
• Computing exponential for iterative splitting methods: algorithms and applications
• Operator-splitting methods via the Zassenhaus product formula
• Higher order operator splitting methods via Zassenhaus product formula: theory and applications
• On the convergence of the Zassenhaus formula
• Discretization methods with embedded analytical solutions for convection-diffusion dispersion-reaction equations and applications
• High order splitting methods for analytic semigroups exist
• On the necessity of negative coefficients for operator splitting schemes of order higher than two
• An iterative splitting approach for linear integro-differential equations
• Iterative Splitting Methods for Differential Equations
• Splitting methods
• An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications
• The Baker-Hausdorff Formula and a Problem in Crystal Physics
• Analysis of exponential splitting methods for inhomogeneous parabolic equations
• Some application of splitting-up methods to the solution of mathematical physics problems
• Exponential Operators and Parameter Differentiation in Quantum Physics
• On the Construction and Comparison of Difference Schemes

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