High order ε-uniform methods for singularly perturbed reaction-diffusion problems

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1988, Issue , 2001, Pages 350-358

  Gracia, J L ^a   Lisbona, F ^a   Clavero, C ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS;

CENTRAL DIFFERENCE SCHEME; DIFFUSION PARAMETERS; FINITE DIFFERENCE SCHEME; NUMERICAL EXPERIMENTS; REACTION DIFFUSION PROBLEMS; SHISHKIN-TYPE MESH; SINGULARLY PERTURBED; UNIFORMLY CONVERGENT;

FINITE DIFFERENCE METHOD;

EID: 25144483245     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_41     Document Type: Conference Paper

References (8)

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3. J. J. H. Miller, E. O’Riordan, G. I. Shishkin, Fitted numerical methods for singular perturbation problems. Error estimates in the maximum norm for linear problems in one and two dimensions, World Scientific, (1996).
4. H. G. Roos, M. Stynes, L. Tobiska, Numerical methods for singularly perturbed differential equations, Springer-Verlag, (1996).
5. A. A. Samarski, V. B. Andréiev, Métodos en diferencias para las ecuaciones elípticas, Mir, Moscú, (1979).
6. G. I. Shishkin, Discrete approximation of singularly perturbed elliptic and parabolic equations, Russian Academic of Sciences. Ural Section. Ekaterinburg, (1992).
7. G. I. Shishkin, Approximation of solutions of singularly perturbed boundary value problems with a parabolic boundary layer, USSR Comput. Maths. Maths. Phys. 29 (1989) 1–10.
8. W. F. Spotz, High-order compact finite difference schemes for computational mechanics, Ph. D. Thesis, University of Texas at Austin, (1995).