A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations

作者: G. D. Byrne , A. C. Hindmarsh

DOI: 10.1145/355626.355636

关键词:

摘要: … for the numerical solution of the initial value problem for ordinary differential equations are … The two integrators are for stiff and nonstiff ordinary differential equations, respectively. The …

参考文章(28)
Arnold Nordsieck, On numerical integration of ordinary differential equations Mathematics of Computation. ,vol. 16, pp. 22- 49 ,(1962) , 10.1090/S0025-5718-1962-0136519-5
C. W. Geart, K. W. Tu, THE EFFECT OF VARIABLE MESH SIZE ON THE STABILITY OF MULTISTEP METHODS SIAM Journal on Numerical Analysis. ,vol. 11, pp. 1025- 1043 ,(1974) , 10.1137/0711079
T. E. Hull, W. H. Enright, B. M. Fellen, A. E. Sedgwick, Comparing Numerical Methods for Ordinary Differential Equations SIAM Journal on Numerical Analysis. ,vol. 11, pp. 603- 637 ,(1972) , 10.1137/0709052
Werner Liniger, Ralph A. Willoughby, EFFICIENT INTEGRATION METHODS FOR STIFF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS SIAM Journal on Numerical Analysis. ,vol. 7, pp. 47- 66 ,(1970) , 10.1137/0707002
L.F. Shampine, M.K. Gordon, Local error and variable order Adams codes Applied Mathematics and Computation. ,vol. 1, pp. 47- 66 ,(1975) , 10.1016/0096-3003(75)90030-2
W.J Cody, G Meinardus, R.S Varga, Chebyshev rational approximations to e−x in [0, +∞) and applications to heat-conduction problems Journal of Approximation Theory. ,vol. 2, pp. 50- 65 ,(1969) , 10.1016/0021-9045(69)90030-6
A.C. Hindmarsh, R.J. Gelinas, GEAR: ORDINARY DIFFERENTIAL EQUATION SYSTEM SOLVER. ,(1971)
C. W. Geart, D. S. Watanabe, Stability and convergence of variable order multistep methods SIAM Journal on Numerical Analysis. ,vol. 11, pp. 1044- 1058 ,(1974) , 10.1137/0711080
Earl A. Coddington, Norman Levinson, Theory of Ordinary Differential Equations ,(1955)
Peter HENRICI (Professor at the Eidgenossische Technische Hochschule Zurich.), Discrete Variable Methods in Ordinary Differential Equations ,(1962)