How to adaptively resolve evolutionary singularities in differential equations with symmetry-Reference-Cited by-同舟云学术

How to adaptively resolve evolutionary singularities in differential equations with symmetry

Published:2009-10-22 Issue:1-3 Volume:66 Page:217-236
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Budd C. J.,Williams J. F.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10665-009-9343-6.pdf

Reference26 articles.

1. Tang T (2005) Moving mesh methods for computational fluid dynamics. Contemp Math 383: 141–173

2. Mackenzie JA, Mekwi WR (2007) On the use of moving mesh methods to solve PDEs. In: Tang T, Xu J (eds) Adaptive computations: theory and algorithms. Science Press, Bejing

3. Ceniceros HD, Hou TY (2001) An efficient dynamically adaptive mesh for potentially singular solutions. J Comput Phys 172: 609–639

4. Barenblatt GI (1996) Scaling, self-similarity and intermediate asymptotics. Cambridge University Press, Cambridge

5. Budd CJ, Piggott MD (2005) Geometric integration and its applications. In: Cucker F (eds) Handbook of numerical analysis. North-Holland, Amsterdam

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