Boundary conditions at artificial boundaries for singular perturbations

Baumert, A. (Technische Hochschule Aachen (Germany). Lehrstuhl fuer Numerische Mathematik)
New Mexico Univ., Albuquerque, NM (United States). Dept. of Mathematics and Statistics)
Hagstrom, T. (New Mexico Univ., Albuquerque, NM (United States). Dept. of Mathematics and Statistics)
Lorenz, J. (Technische Hochschule Aachen (Germany). Lehrstuhl fuer Numerische Mathematik
Aachen Technische Hochschule (Germany). Inst. fuer Geometrie und Praktische Mathematik

Publication date

January 1995

Abstract

The main objective of the present paper is to compare numerical results for boundary conditions at artificial boundaries for singularly perturbed Cauchy problems. Our test problems include a linear advection- diffusion equation, the viscous Burgers' equation, and a linear parabolic-hyperbolic system. The artificial boundary conditions for the linear problems can be motivated and analyzed by asymptotic in Laplace space. The conditions for Burgers' equation are still of experimental nature. (orig.)Available from TIB Hannover: RN 8680(118) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman

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Boundary conditions at artificial boundaries for singular perturbations

Abstract

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Boundary conditions at artificial boundaries for singular perturbations

Abstract

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