Stability of Block $LU$-Decompositions of Matrices Arising from BVP

DOI10.1137/0605033zbMath0559.65014OpenAlexW1978609837MaRDI QIDQ5185903

Robert M. M. Mattheij

Publication date: 1984

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0605033

zbMATH Keywords

stabilitydirect methodsblock LU-decompositions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Numerical solution of singular perturbation problems ⋮ Shooting Methods for Two‐Point BVPs with Partially Separated Endconditions ⋮ A scalable parallel factorization of finite element matrices with distributed Schur complements ⋮ Shooting Methods for Two‐Point BVPs with Partially Separated Endconditions ⋮ Numerical methods for second order singular perturbation problems ⋮ Linear system solvers for boundary value ODEs ⋮ Stability of a three-point scheme for linear second order singularly perturbed BVPs with turning points ⋮ Parallel stable compactification for ODEs with parameters and multipoint conditions

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