Iterative splitting methods for solving time-dependent problems

DOI10.1016/j.aml.2011.10.019zbMath1242.65108OpenAlexW2019959880MaRDI QIDQ419063

Jürgen Geiser

Publication date: 18 May 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.019

zbMATH Keywords

algorithmstabilitynumerical exampleserror analysisHamiltonian problemsradial Schrödinger equationMagnus integratorexponential splittingiterative splitting schemes

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Linear differential equations in abstract spaces (34G10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical solutions to abstract evolution equations (65J08)

Cites Work

• Computing exponential for iterative splitting methods: algorithms and applications
• Fourth- and sixth-order commutator-free Magnus integrators for linear and nonlinear dynamical systems
• Iterative operator-splitting methods with higher-order time integration methods and applications for parabolic partial differential equations
• A pedagogical approach to the Magnus expansion
• Multi-product operator splitting as a general method of solving autonomous and nonautonomous equations
• One-Parameter Semigroups for Linear Evolution Equations

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