On the properties of matrices defining some classes of BVMs

DOI10.1007/s00211-003-0464-yzbMath1054.65074OpenAlexW1987136737MaRDI QIDQ1434043

Lidia Aceto, Donato Trigiante

Publication date: 1 July 2004

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-003-0464-y

zbMATH Keywords

initial value problemsfactorization of matrices\(k\)-step boundary value methodBand symmetric Toeplitz matricesgeneralized backward differentiation formulaepositive definitnesstop order method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Positive matrices and their generalizations; cones of matrices (15B48) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

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Simplification of a result on banded Toeplitz matrices and BVM methods

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