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**Version:****File size:**0 KB**File name:**VelocityVerlet.as**Last update:****Platform:**Windows / Mac OS**Language:**Flash**Price:**Freeware**Company:**Richard Wright (View more)

Specification

com.wis.math.calc.solvers.VelocityVerlet - A velocity Verlet method IODE solver. VelocityVerlet: A velocity Verlet method IODE solver. The velocity Verlet algorithm is a self-starting equivalent of the Verlet algorithm. It assumes a constant acceleration to estimate the final position and an average accleration to estimate the final velocity. The position is first updated, the force is calcualted at the new position, and then the velocity is updated. x(n 1) = x(n) v(n)dt a(n)dtdt/2 a_est=F(x(n 1),v(n),t)/m v(n 1) = v(n) (a(n) a_est)dt/2 CAUTION! The IODE interface produces an inefficient implementation of the velocity Verlet algorithm since the force is evaluated twice. The velocity Verlet algorithm is usually coded directly into the model so that the force need only be evaluated once. CAUTION! This implementation assumes that the state vector has 2N 1 variables. These variables alternate between position and velocity with the last variable being time. That is, the state vector is ordered as follows: x1, d x1/dt, x2, d x2/dt, x3, d x3/dt ..... xN, d xN/dt, t

usage: var inst:VelocityVerlet = new VelocityVerlet(_ode);

com.wis.math.calc.solvers.VelocityVerlet is a Flash script for Ad Management scripts design by Richard Wright.
It runs on following operating system: Windows / Mac OS.

com.wis.math.calc.solvers.VelocityVerlet - A velocity Verlet method IODE solver.

com.wis.math.calc.solvers.VelocityVerlet - A velocity Verlet method IODE solver.

Windows / Mac OS

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