A splitting method for the augmented Burgers equation-Reference-Cited by-同舟云学术

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A splitting method for the augmented Burgers equation

Published:2017-07-26 Issue:1 Volume:58 Page:73-102
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Ignat Liviu I.,Pozo Alejandro^ORCID

Funder

Ministerio de Economía y Competitividad (ES)

Air Force Office of Scientific Research (US)

Eusko Jaurlaritza (ES)

European Research Council (BE)

Ministerio de Economía y Competitividad

Eusko Jaurlaritza

Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/article/10.1007/s10543-017-0673-x/fulltext.html

Reference24 articles.

1. Aguirre, J., Escobedo, M., Zuazua, E.: Self-similar solutions of a convection diffusion equation and related semilinear elliptic problems. Commun. Partial Differ. Equ. 15(2), 139–157 (1990)

2. Alonso, J.J., Colonno, M.R.: Multidisciplinary optimization with applications to sonic-boom minimization. Annu. Rev. Fluid Mech. 44, 505–526 (2012)

3. Biler, P., Funaki, T., Woyczyński, W.A.: Fractal Burgers equations. J. Differ. Equ. 148(1), 9–46 (1998)

4. Biler, P., Karch, G., Woyczyński, W.A.: Asymptotics for conservation laws involving Lévy diffusion generators. Stud. Math. 148(2), 171–192 (2001)

5. Biler, P., Karch, G., Woyczyński, W.A.: Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Ann. l’Inst. Henri Poincare (C) Non Linear Anal. 18(5), 613–637 (2001)

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1. A third (fourth)-order computational scheme for 2D Burgers-type nonlinear parabolic PDEs on a nonuniformly spaced grid network;Asian-European Journal of Mathematics;2024-06-25

2. Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection;Journal de Mathématiques Pures et Appliquées;2023-11

3. Long-time convergence of a nonlocal Burgers’ equation towards the local N-wave;Nonlinearity;2023-10-04

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