Nordsieck methods with an off-step point

Numerical Algorithms

Volumn 31, Issue 1-4, 2002, Pages 87-101

  Butcher, J C ^a   O'Sullivan, A E ^b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Hybrid methods; Nordsieck vectors; Off step points; Variable stepsize

Indexed keywords

EID: 0036441789     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021104222126     Document Type: Conference Paper

References (7)

1. P.R. Beaudet, Multi-off-grid methods in multi-step integration of ordinary differential equations, in: Proc. of Conf. on Numer. Solution of ODEs, University of Texas, 1972, pp. 128-148.
2. J.C. Butcher, A modified multistep method for the numerical integration of ordinary differential equations, J. Assoc. Comput. Mach. 12(1) (1965) 124-135.
3. J.C. Butcher, A multistep Generalization of Runge-Kutta methods with four or five stages, J. Assoc. Comput. Mach. 14(1) (1967) 84-99.
4. C.W. Gear, Hybrid methods for initial value problems in ordinary differential equations, SIAM J. Numer. Anal. Ser B 2(1) (1964).
5. W.B. Gragg and H.J. Stetter, Generalized multistep predictor-corrector methods, J. Assoc. Comput. Mach. 11(2) (1964) 188-209.
6. T.E. Hull, W.H. Enright, B.M. Fellen and A.E. Sedgwick, Comparing numerical methods for ordinary differential equations, SIAM J. Numer. Anal. 9(4) (1972).
7. J.J. Kohfeld and G.T. Thompson, A modification of Nordsieck's method using an "off-step" point, J. Assoc. Comput. Mach. 15(3) (1968) 390-401.