[HTML][HTML] Variable stepsize implementation of multistep methods for y ″= f (x, y, y′)
J Vigo-Aguiar, H Ramos - Journal of Computational and Applied …, 2006 - Elsevier
Journal of Computational and Applied Mathematics, 2006•Elsevier
The Falkner method is a multistep scheme intended for the numerical solution of second-
order initial value problems where the first derivative does appear explicitly. In this paper, we
develop a procedure to obtain k-step Falkner methods (explicit and implicit) in their variable
step-size versions, providing recurrence formulas to compute the coefficients efficiently.
Considering a pair of explicit and implicit formulae, these may be implemented in predictor–
corrector mode.
order initial value problems where the first derivative does appear explicitly. In this paper, we
develop a procedure to obtain k-step Falkner methods (explicit and implicit) in their variable
step-size versions, providing recurrence formulas to compute the coefficients efficiently.
Considering a pair of explicit and implicit formulae, these may be implemented in predictor–
corrector mode.
The Falkner method is a multistep scheme intended for the numerical solution of second-order initial value problems where the first derivative does appear explicitly. In this paper, we develop a procedure to obtain k-step Falkner methods (explicit and implicit) in their variable step-size versions, providing recurrence formulas to compute the coefficients efficiently. Considering a pair of explicit and implicit formulae, these may be implemented in predictor–corrector mode.
Elsevier
以上显示的是最相近的搜索结果。 查看全部搜索结果