Choice of parameters in parallel general linear methods for stiff problems

Applied Numerical Mathematics

Volumn 34, Issue 1, 2000, Pages 59-84

  Butcher, J C ^a   Singh, A D ^a,b  

^a UNIVERSITY OF AUCKLAND   (New Zealand)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

PARALLEL GENERAL LINEAR METHODS; STIFF INITIAL VALUE PROBLEMS;

INITIAL VALUE PROBLEMS;

EID: 0034207549     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00035-5     Document Type: Article

References (8)

1. J.C. Butcher, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math. 11 (1993) 347-363.
2. J.C. Butcher, Order and stability of parallel methods for stiff problems, Adv. Comput. Math. 7 (1997) 79-96.
3. J.C. Butcher, P. Chartier, Parallel general linear methods for stiff ordinary differential and differential algebraic equations, Appl. Numer. Math. 17 (1995) 213-222.
4. J.J.B. de Swart, Parallel Software for Implicit Differential Equations, Ph.D. Thesis, CWI, Amsterdam, 1997.
5. E. Hairer, G. Wanner, Solving Ordinary Differential Equations II, Stiff Problems, 2nd Revised Edition, Springer, Berlin, 1996.
6. W.M. Lioen, J.J.B. de Swart, W.A. van der Veen, Test Set for IVP Solvers, http://www.cwi.nl/cwi/projects/IVPtestset.shtml, 1996.
7. J.J.H. Miller, On the location of zeros of certain classes of polynomials with applications to numerical analysis, J. Inst. Math. Appl. 8 (1971) 397-406.
8. A.D. Singh, Parallel Diagonally Implicit Multistage Integration Methods for Stiff Ordinary Differential Equations, Ph.D. Thesis, The University of Auckland, New Zealand, 1999.