An adaptive numerical method to handle blow-up in a parabolic system
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00211-005-0638-x.pdf
Reference23 articles.
1. Abia, L.M., López-Marcos, J.C., Martínez, J.: On the blow-up time convergence of semi-discretizations of reaction-diffusion equations. Appl. Numer. Math. 26(4), 399–414 (1998)
2. Acosta, G., Fernández Bonder, J., Groisman, P., Rossi, J.D.: Simultaneous vs. non-simultaneous blow-up in numerical approximations of a parabolic system with non-linear boundary conditions. M2AN Math. Model. Numer. Anal. 36(1), 55–68 (2002)
3. Bandle, C., Brunner, H.: Blowup in diffusion equations: a survey. J. Comput. Appl. Math. 97(1–2), 3–22 (1998)
4. Berger, M., Kohn, R.V.: A rescaling algorithm for the numerical calculation of blowing-up solutions. Comm. Pure Appl. Math. 41(6), 841–863 (1988)
5. Brändle, C., Groisman, P., Rossi, J.D.: Fully discrete adaptive methods for a blow-up problem. Math. Models Methods Appl. Sci. 14(10), 1425–1450 (2004)
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