On the Asymptotic and Numerical Solution of Linear Ordinary Differential Equations

DOI10.1137/S0036144597315341zbMath0914.34056MaRDI QIDQ4210359

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Publication date: 21 September 1998

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

stabilityasymptotic solutionslinear differential equationserror boundsasymptotic expansionsperturbation analysisneighborhoodirregular singularityremainder termsStokes multipliersTaylor-series methodboundary-value methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Ordinary differential equations in the complex domain (34M99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (9)

Two-point Taylor expansions and one-dimensional boundary value problems ⋮ Exact and approximate energy sums in potential wells ⋮ MIXED GEVREY ASYMPTOTICS ⋮ A new spectral method for a class of linear boundary value problems ⋮ The use of two-point Taylor expansions in singular one-dimensional boundary value problems I ⋮ A three-point Taylor algorithm for three-point boundary value problems ⋮ Hyperasymptotics for nonlinear ODEs I. A Riccati equation ⋮ Hyperasymptotics and hyperterminants: exceptional cases ⋮ Multi-point Taylor approximations in one-dimensional linear boundary value problems

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