Splitting methods in the numerical integration of non-autonomous dynamical systems

DOI10.1007/s13398-011-0024-8zbMath1259.65109OpenAlexW2083485605MaRDI QIDQ1935048

Sergio Blanes, Fernando Casas, Ander Murua

Publication date: 30 January 2013

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/62848

zbMATH Keywords

numerical examplessplitting methodslinear differential equationgeometric integratorstime-dependent problems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (8)

An operator splitting approach for two-dimensional Kawarada problems ⋮ Symplectic integrators for the matrix Hill equation ⋮ High-order IMEX-spectral schemes for computing the dynamics of systems of nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Symplectic integrators for second-order linear non-autonomous equations ⋮ An endeavor from the Glowinski-Le Tallec splitting for approximating the solution of Kawarada equation ⋮ Passivity-preserving splitting methods for rigid body systems ⋮ Explicit symplectic partitioned Runge-Kutta-Nyström methods for non-autonomous dynamics ⋮ Adaptive time propagation for time-dependent Schrödinger equations

Cites Work

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• Geometric integrators for ODEs
• Splitting methods for non-autonomous separable dynamical systems
• Geometric Numerical Integration
• Composition Methods for Differential Equations with Processing
• Derivation of symmetric composition constants for symmetric integrators
• On the exponential solution of differential equations for a linear operator

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