Efficient numerical integration of \(N\)th-order non-autonomous linear differential equations

DOI10.1016/j.cam.2015.02.052zbMath1329.65140OpenAlexW1991118946MaRDI QIDQ491054

Sergio Blanes, Philipp Bader, Enrique Ponsoda, Fernando Casas

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.02.052

zbMATH Keywords

Magnus expansionhigher-order linear differential equationnonautonomous coefficients

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Symplectic integrators for the matrix Hill equation ⋮ Symplectic integrators for second-order linear non-autonomous equations ⋮ Editorial: Mathematical modeling and computational methods

Uses Software

• Expokit
• Algorithm 919
• phipm

Cites Work

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• Algorithm 919
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• [https://portal.mardi4nfdi.de/wiki/Publication:4056878 Explicit Formulas for Solutions of the Second-Order Matrix Differential Equation Y � � + AY]
• Expokit
• On the solution of linear differential equations in Lie groups
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
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• On the exponential solution of differential equations for a linear operator

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