In numerical analysis, leapfrog integration is a method for numerically integrating differential equations of the form x ¨ = d 2 x d t 2 = A ( x ) ... |
| Leapfrog integration |  |
В численном анализе чехарда — это метод численного интегрирования дифференциальных уравнений вида
или эквивалент формы
особенно в случае динамической системы классической механики.
В разных дисциплинах этот метод известен под разными названиями. Википедия (Английский язык)
1: Sketch showing the structure of the leapfrog method. The basic integration formula for the leapfrog algorithm is therefore xn+1 = xn + hvn+1/2 ,. (6a) vn+ ... |
The Leapfrog Integrator. For second-order problems like (4) in which f depends only on x, the second-order Leapfrog integration scheme is widely used. |
Videolar 19 дек. 2014 г. · Leapfrog integration is a particular approach to write two coupled first-order ordinary differential equations with finite differences. |
The central idea of the finite difference approach is to approximate the derivatives in the equation by differences between adjacent points in space or time, ... |
13 июл. 2020 г. · The so-called "leapfrog" integrator is a numerical method for solving differential equations of the form where x is a function of t. |
The basic integration formula for the leapfrog algorithm is therefore xn+1 = xn + hvn+1/2. (6) vn+3/2 = vn+1/2 + hF(xn+1). (7). How accurate is this approach ... |
We consider again the method of advancing the solution in time known as the leapfrog scheme. Let U denote a typical dependent variable, governed by an equation ... |
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