Asymptotics and an Asymptotic Galerkin Method for Hyperbolic-Parabolic Singular Perturbation Problems

A composite asymptotic expansion including initial layer corrections is developed for treating initial boundary value problems for hyperbolic equations with a small parameter multiplying the second-order time derivative term. Proof of uniform asymptotic validity is given a Hilbert space setting. The...

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Vydané v:	SIAM journal on mathematical analysis Ročník 18; číslo 3; s. 762 - 776
Hlavný autor:	Esham, Jr, Benjamin F.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.05.1987
Predmet:	Approximation Exact sciences and technology Hilbert space Mathematical methods in physics Numerical approximation and analysis Physics Validity Perturbation theory Parabolic equation Boundary value problem Initial value problem Hyperbolic equation Galerkin method Partial differential equation
ISSN:	0036-1410, 1095-7154
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