Constructive characterization ofA-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/BF01408698.pdf
Reference9 articles.
1. Burrage, K., Butcher, J. C.: Stability criteria for implicit Runge-Kutta methods. SIAM J Number. Anal.16(1), 46?57 (1979).
2. Butcher, J.C.: A stability property of implicit Runge-Kutta methods. BIT15, 358?361 (1975).
3. Crouzeix, M.: Sur laB-stabilit� des m�thodes de Runge-Kutta. Numer. Math.32, 75?82 (1979)
4. Hairer, E., Wanner, G.: Algebraically stable and implementable Runge-Kutta methods of high order. SIAM J. Numer. Anal.18 (6), 1098?1108 (1981)
5. Springer Lecture Notes in Math;E. Hairer,1982
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