On the zero-stability of the 3-step BDF-formula on nonuniform grids-Reference-Cited by-同舟云学术

On the zero-stability of the 3-step BDF-formula on nonuniform grids

Published:1984-03 Issue:1 Volume:24 Page:85-91
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Grigorieff R. D.,Paes-Leme P. J.

Publisher

Springer Science and Business Media LLC

Subject

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

Link

http://link.springer.com/content/pdf/10.1007/BF01934518.pdf

Reference6 articles.

1. R. D. Grigorieff,Stability of multistep-methods on variable grids, 42 (1983) pp. 359–377. Numer. Math.

2. R. März,Zur Stabilität und Konsistenz variabler Verfahren. In I. Strehmel (ed.): Numer. Bhdlg. von Dgln. Wiss. Beiträge 1981 der Martin-Luther-Universität Halle-Wittenberg, pp. 87–91.

3. R. März,Variable multistep methods. Preprint Nr. 7 der Humboldt-Universität, Berlin, (1981).

4. J. Sand,On one-leg and linear multistep formulas with variable step-sizes. Report TRITA-NA-8112, Roy. Inst. Technology Stockholm.

5. Z. Zlatev,Stability properties of variable stepsize variable formula methods, Numer. Math. 31, (1978), pp. 175–182.

Cited by 9 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. The semi-implicit DLN algorithm for the Navier-Stokes equations;Numerical Algorithms;2024-02-02

2. Variable Step-Size BDF3 Method for Allen-Cahn Equation;Journal of Computational Mathematics;2023-11

3. Stability of Variable-Step BDF2 and BDF3 Methods;SIAM Journal on Numerical Analysis;2022-08

4. Fully-geometric mesh one-leg methods for the generalized pantograph equation: Approximating Lyapunov functional and asymptotic contractivity;Applied Numerical Mathematics;2017-07

5. Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator;BIT Numerical Mathematics;2009-03-14