A second-order parameter-uniform overlapping Schwarz method for reaction–diffusion problems with boundary layers

Author:

MacMullen H.,Miller J.J.H.,O'Riordan E.,Shishkin G.I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference16 articles.

1. Computational method for singularly perturbed problems via domain decomposition and its parallel implementation;Boglaev;Appl. Math. Comput.,1993

2. On a domain decomposition algorithm for a singularly perturbed reaction–diffusion problem;Boglaev;J. Comput. Appl. Math.,1998

3. E.P. Doolan, J.J.H. Miller, W.H.A. Schilders, Uniform Numerical Methods for Problems with Initial and Boundary Layers, Boole Press, Dublin, 1980.

4. Parallel domain decomposition methods for semi-linear singularly perturbed differential equations;Farrell;Comput. Fluid Dynamics J.,1994

5. P.A. Farrell, A.F. Hegarty, On the determination of the order of uniform convergence, in: R. Vichnevetsky, J.J.H. Miller (Eds.), Proceedings of the 13th IMACS World Congress on Computational and Applied Mathematics, IMACS, New Brunswick, NJ, 1991, pp. 501–502.

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