A singularly perturbed model problem for numerical computation

Journal of Computational and Applied Mathematics

Volumn 76, Issue 1-2, 1996, Pages 277-285

  Hemker, P W ^a  

^a CWI   (Netherlands)

Author keywords

Exact solution; Model problem; Numerical evaluation; Partial differential equation; Singular perturbation

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

ASYMPTOTIC APPROXIMATIONS; FRIEDLANDER EXPANSION; LINEAR CONVECTION DIFFUSION PROBLEM; TWO DIMENSIONAL SINGULAR PERTURBATION PROBLEM; WAECHTER EXPANSIONS;

PERTURBATION TECHNIQUES;

EID: 0030419987     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00113-6     Document Type: Article

References (6)

1. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964).
2. F.G. Friedlander, Diffraction of pulses by a circular cylinder, Comm. Pure Appl. Math. 7 (1954) 705.
3. F.G. Friedlander, Sound Pulses (Cambridge Univ. Press, Cambridge, 1958).
4. J.J.H. Miller, E. O'Riordan and G.I. Shishkin, Numerical Methods For Singular Perturbation Problems: Error Estimates in the Maximum Norm for Linear Problems in One and Two Dimensions (World Scientific, Singapore, 1996).
5. H.-G. Roos, M. Stynes and L. Tobiska, Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion and Flow Problems, Springer Series in Computational Mathematics, Vol. 24 (Springer, Berlin, 1996).
6. R.T. Waechter, Steady longitudinal motion of an insulating cylinder in a conducting fluid, Proc. Camb. Philos. Soc. 64 (1968) 1165-1201.