The Conditioning of Linear Boundary Value Problems

DOI10.1137/0719070zbMath0489.65052OpenAlexW2039649943MaRDI QIDQ3951483

Robert M. M. Mattheij

Publication date: 1982

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b9f561c62fd186c6e6db9e87df2c2f76bc06f1cd

zbMATH Keywords

conditioningwell posed problemsmultiple shooting techniqueperturbations of the boundary condition

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (13)

On computing smooth solutions of problems with large Lipschitz constants ⋮ Error estimates for parallel shooting using initial or boundary value methods ⋮ Numerical methods in seismology ⋮ On stability constants and condition numbers of discretisation methods ⋮ On dichotomy and well conditioning in Kronecker product two-point boundary value problems ⋮ On dichotomy and well-conditioning in two-point boundary-value problems ⋮ Stability of Block $LU$-Decompositions of Matrices Arising from BVP ⋮ Accurate estimates for the fundamental solutions of discrete boundary value problems ⋮ On solving boundary value problems for multi-scale systems using asymptotic approximations and multiple-shooting ⋮ RATING THE PERFORMANCE OF SHOOTING METHODS FOR THE COMPUTATION OF PERIODIC ORBITS ⋮ A note on conditioning, stability and collocation matrices ⋮ Conditions and conditioning, stability and stabilization ⋮ The stability of LU-decompositions of block tridiagonal matrices

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