|
This article is cited in 15 scientific papers (total in 15 papers)
X International Conference on Computing Mechanics and Advanced Applied Codes (Pereyaslavl- Zalesski)
An effective algorithm for differential equations of motion
V. A. Stepaniants, D. V. L'vov M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract:
The paper presents eighth-order method for solution of differential equation. Legendre's nodes are used as argument of derivatives computing. That is why there are only four points per step for derivatives computing. This results decrease numerical noise. Adams type predictor-corrector is used to obtain initial values for single iteration of implicit Runge–Kutta algorithm, so the derivatives are computed twice for the each step. All quadrature coefficients which integrator uses are calculated beforehand (for uniform step, increasing step, decreasing step) to obtain minimum possible volume of computation.
Citation:
V. A. Stepaniants, D. V. L'vov, “An effective algorithm for differential equations of motion”, Matem. Mod., 12:6 (2000), 9–14
Linking options:
https://www.mathnet.ru/eng/mm884 https://www.mathnet.ru/eng/mm/v12/i6/p9
|
Statistics & downloads: |
Abstract page: | 1061 | Full-text PDF : | 531 | First page: | 1 |
|