Dahlquist's first barrier for multistage multistep formulas-Reference-Cited by-同舟云学术

Dahlquist's first barrier for multistage multistep formulas

Published:1984-12 Issue:4 Volume:24 Page:538-555
ISSN:0006-3835
Container-title:BIT
language:en
Short-container-title:BIT

Author:

Jeltsch Rolf,Nevanlinna Olavi

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/BF01934912.pdf

Reference11 articles.

1. G. Dahlquist,Convergence and stability in the numerical integration of ordinary differential equations, Math. Scand. 4 (1956), pp. 33–53.

2. G. Dahlquist,Stability and error bounds in the numerical integration of ordinary differential equations, Trans. Roy. Inst. Tech. Stockholm, No. 130 (1959), also available in Uppsala (1958), Almquist & Wiksell.

3. G. Dahlquist,The theory of linear multistep methods and related topics. Lectures held by G. Dahlquist at Department of Numerical Analysis, Royal Institute of Technology Stockholm (1976).

4. P. Henrici,Discrete Variable Methods in Ordinary Differential Equations, New York, Wiley (1962).

5. A. Iserles and S. P. Nørsett,A proof of the first Dahlquist barrier by order stars, to appear.

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3. REFERENCES;Numerical Methods for Initial Value Problems in Ordinary Differential Equations;1988

4. Accuracy and stability of multistage multistep formulas;Numerische Mathematik;1986-01