A time-reversible and symplectic method for performing this task uses a technique called "leapfrogging" and is often used when the model in question is a dynamical system.
A time-reversible and symplectic method for performing this task uses a technique called "leapfrogging" and is often used when the model in question is a dynamical system. While performing ragdoll physics calculations, the central difference is computed as part of an algorithm designed for this task named after Loup Verlet ["Ver-lay"]; that method improves upon the simplest method for doing this, which is an algorithm that takes an initial point and calculates the next point by evaluating a function at x and y, then multiplying that expression by the (*) step size. That simple method for doing this task is a first-order method, which means that the error varies with the square of the step size. The most common family of algorithms for performing this task are the Runge-Kutta methods; a simple example of which is the Euler method. For 10 points, name this task of approximately computing a definite integral.
A time-reversible and symplectic method for performing this task uses a technique called "leapfrogging" and is often used when the model in question is a dynamical system.
numerical integration to solve a differential equation [or numerical quadrature, or numerically solving an initial value problem, prompt on "integration," prompt on "Riemannian integration," prompt on "solving a differential equation," prompt on "solving an initial value problem", do not accept or prompt on "analytic integration" or "Lebesgue integration."]