论文信息 - Analysis of Fixed-Stepsize Methods - 字舞流文

Analysis of Fixed-Stepsize Methods

The unified theory developed by Henrici [5] for one-step methods is extended to the more general case where the order of the system of difference equations can exceed the order of the system of ord...

Robert D. Skeel

[1] Peter Lancaster,et al. The theory of matrices , 1969 .

[2] A General Theory of Convergence for Numerical Methods , 1972 .

[3] Alan C. Hindmarsh,et al. A Polyalgorithm for the Numerical Solution of Ordinary Differential Equations , 1975, TOMS.

[4] W. E. Milne. Numerical Integration of Ordinary Differential Equations , 1926 .

[5] Hans J. Stetter,et al. Stabilizing predictors for weakly unstable correctors , 1965 .

[6] C. W. Gear,et al. Numerical initial value problem~ in ordinary differential eqttations , 1971 .

[7] A. Nordsieck,et al. On Numerical Integration of Ordinary Differential Equations , 1953 .

[8] M. N. Spijker. On the structure of error estimates for finite-difference methods , 1971 .