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