A high order uniformly convergent alternating direction scheme for time dependent reaction–diffusion singularly perturbed problems-Reference-Cited by-同舟云学术

A high order uniformly convergent alternating direction scheme for time dependent reaction–diffusion singularly perturbed problems

Published:2007-05-11 Issue:1 Volume:107 Page:1-25
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Bujanda B.,Clavero C.,Gracia J. L.,Jorge J. C.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-007-0083-0.pdf

Reference18 articles.

1. Alonso-Mallo I., Cano B. and Jorge J.C. (2004). Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions. Math. Comput. 73: 1801–1825

2. Clavero C. and Gracia J.L. (2005). High order methods for elliptic and time dependent reaction–diffusion singularly perturbed problemsms. Appl. Math. Comput. 168: 1109–1127

3. Clavero C., Gracia J.L. and Jorge J.C. (2006). A uniformly convergent alternating direction HODIE finite difference scheme for 2D time dependent convection-diffusion problems. IMA J. Numer. Anal. 26: 155–172

4. Clavero C., Jorge J.C., Lisbona F. and Shishkin G.I. (1998). A fractional step method on a special mesh for the resolution of multidimensional evolutionary convection–diffusion prolems. Appl. Numer. Math. 27: 211–231

5. Clavero C., Jorge J.C., Lisbona F. and Shishkin G.I. (2000). An alternating direction scheme on a nonuniform mesh for reaction–difusion parabolic problems. IMA J. Numer. Anal. 20: 263–280

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