Solutions to linear matrix ordinary differential equations via minimal, regular, and excessive space extension based universalization. Perturbative matrix splines, convergence and error estimate issues for polynomial coefficients in the homogeneous case

DOI10.1007/s10910-010-9665-7zbMath1200.65063OpenAlexW1699581904MaRDI QIDQ1959292

Sevda Üsküplü Altınbaşak, Metin Demiralp

Publication date: 6 October 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-010-9665-7

zbMATH Keywords

convergenceerror estimatesnumerical examplesordinary differential equationsmajorant seriesperturbation solutionsspace extensionlinear matrix ordinary differential equations

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70)

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Fluctuation free multivariate integration based logarithmic HDMR in multivariate function representation ⋮ On some discretization methods for solving a linear matrix ordinary differential equation

Cites Work

• Lie algebraic factorization of multivariable evolution operators: Definition and the solution of the canonical problem
• Matrix Analysis
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