A note on the effect of conditionally stable correctors
HTML articles powered by AMS MathViewer
- by Fred T. Krogh PDF
- Math. Comp. 21 (1967), 717-719 Request permission
References
- Hans J. Stetter, Stabilizing predictors for weakly unstable correctors, Math. Comp. 19 (1965), 84–89. MR 178576, DOI 10.1090/S0025-5718-1965-0178576-9
- Hans J. Stetter, A study of strong and weak stability in discretization algorithms, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 265–280. MR 187407
- R. L. Crane and R. W. Klopfenstein, A predictor-corrector algorithm with an increased range of absolute stability, J. Assoc. Comput. Mach. 12 (1965), 227–241. MR 182155, DOI 10.1145/321264.321272
- Fred T. Krogh, Predictor-corrector methods of high order with improved stability characteristics, J. Assoc. Comput. Mach. 13 (1966), 374–385. MR 196943, DOI 10.1145/321341.321347
- B. A. Fuchs and V. I. Levin, Functions of a complex variable and some of their applications. Vol. II, Pergamon Press, London-New York-Paris-Frankfurt; Addison-Wesley Publishing Company, Inc., Reading, Mass., 1961. Translated by J. Berry; edited by T. Kövari. MR 0132818 E. C. Titchmarsh, The Theory of Functions, Oxford Univ. Press, Oxford, 1939.
- Anthony Ralston, Relative stability in the numerical solution of ordinary differential equations, SIAM Rev. 7 (1965), 114–125. MR 178574, DOI 10.1137/1007011
- Fred T. Krogh, A test for instability in the numerical solution of ordinary differential equations, J. Assoc. Comput. Mach. 14 (1967), 351–354. MR 235732, DOI 10.1145/321386.321398
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 717-719
- MSC: Primary 65.61
- DOI: https://doi.org/10.1090/S0025-5718-1967-0224291-4
- MathSciNet review: 0224291