Phase properties of high order, almostP-stable formulae

Springer Science and Business Media LLC - Tập 24 Số 2 - Trang 225-238 - 1984
R. M. Thomas1
1Department of Mathematics, UMIST, P.O. Box 88, M60 1QD, Manchester, England

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Tài liệu tham khảo

C. A. Addison and I. Gladwell,Second derivative methods applied to implicit first and second order systems, Int. J. Num. Meth. in Engng. (To appear).

L. Brusa and L. Nigro,A one-step method for direct integration of structural dynamic equations, Int. J. Num. Meth. in Engng. 15 (1980) 685–699.

J. R. Cash,High order, P-stable formulae for the numerical integration of periodic initial value problems, Numer. Math. 37 (1981), 355–370.

M. M. Chawla,Two-step fourth order P-stable methods for second order differential equations, BIT 21 (1981), 190–193.

W. H. Enright,Improving the efficiency of matrix operations in the numerical solution of stiff ordinary differential equations, ACM Trans. Math. Software 4 (1978), 127–136.

I. Gladwell and R. M. Thomas,Damping and phase analysis for some methods for solving second order ordinary differential equations. Int. J. Num. Meth. in Engng. 19 (1983), 495–503.

J. D. Lambert,Computational Methods in Ordinary Differential Equations, Wiley, London (1973).

J. D. Lambert and I. A. Watson,Symmetric multistep methods for periodic initial value problems, JIMA 18 (1976), 189–202.

E. Stiefel and D. G. Bettis,Stabilisation of Cowell's methods, Numer. Math. 13 (1969), 154–175.

R. M. Thomas,Phase properties of high order P-stable formulae, Report No. 176, Department of Computer Studies, University of Leeds (1983).