Use of Asymptotics for New Dynamic Adapted Mesh Construction for Periodic Solutions with an Interior Layer of Reaction-Diffusion-Advection Equations

Author:

Lukyanenko Dmitry,Nefedov Nikolay,Nikulin Egor,Volkov Vladimir

Publisher

Springer International Publishing

Reference17 articles.

1. Shishkin, G.: Grid approximation of a singularly perturbed quasilinear equation in the presence of a transition layer. Russ. Acad. Sci. Dokl. Math. 47(1), 83–88 (1993)

2. O’Riordan, E., Shishkin, G.: Singularly perturbed parabolic problems with non-smooth data. J. Comput. Appl. Math. 1, 233–245 (2004)

3. Franz, S., Kopteva, N.: Green’s function estimates for a singularly perturbed convection-diffusion problem. J. Differ. Equ. 252, 1521–1545 (2012)

4. Lecture Notes in Computer Science;N Kopteva,2009

5. Kopteva, N., O’Riordan, E.: Shishkin meshes in the numerical solution of singularly perturbed differential equations. Int. J. Numer. Anal. Model. 1(1), 1–18 (2009)

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