On Uniform Difference Schemes for Second-Order Singular Perturbation Problems in Banach Spaces

DOI10.1137/0523003zbMath0745.65037OpenAlexW1985705338MaRDI QIDQ3990881

Allaberen Ashyralyev, Hector O. Fattorini

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1137/0523003

zbMATH Keywords

ellipticsingular perturbationwave equationsecond-order differential equationsSchrödinger equationBanach spacefinite difference schemesparabolicCourant-Friedrichs-Lewy difference scheme

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solutions to equations with linear operators (65J10) Finite difference methods for boundary value problems involving PDEs (65N06) Linear differential equations in abstract spaces (34G10) Singular perturbations for ordinary differential equations (34E15) Finite difference and finite volume methods for ordinary differential equations (65L12)

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