On the Stability of a Monotone Difference Scheme for the Burgers Equation-Reference-Cited by-同舟云学术

On the Stability of a Monotone Difference Scheme for the Burgers Equation

Published:2005-07 Issue:7 Volume:41 Page:1003-1009
ISSN:0012-2661
Container-title:Differential Equations
language:en
Short-container-title:Diff Equat

Author:

Matus P. P.,Marcinkiewicz G. L.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10625-005-0241-z.pdf

Reference17 articles.

1. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Difference Schemes), Moscow, 1989.

2. Samarskii, A.A., Vabishchevich, P.N., and Matus, P.P., Raznostnye skhemy s operatornymi mnozhitelyami (Difference Schemes with Operator Multipliers), Minsk, 1998.

3. Samarskii, A.A. and Gulin, A.V., Ustoichivost' raznostnykh skhem (Stability of Difference Schemes), Moscow, 1973.

4. Tadmor, E., SIAM Review, 1987, vol. 29, no.4, pp. 525–555.

5. Thomee, V., SIAM Review, 1969, vol. 11, no.2, pp. 152–195.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stability investigation of an implicit difference scheme for a nonlinear transport equation;Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series;2024-01-05

2. Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions;Computational Methods in Applied Mathematics;2016-04-01

3. Stability of difference schemes in terms of Riemann invariants for a polytropic gas;Computational Mathematics and Mathematical Physics;2010-06

4. The global attractor and numerical simulation of a forced weakly damped MKdV equation;Nonlinear Analysis: Real World Applications;2009-06