def harmonic_oscillator(x, v, t, m, k): k1x, k1v = harmonic_oscillator(x, v, t[i-1], m, k) k2x, k2v = harmonic_oscillator(x + 0.5 * dt * k1x, v + 0.5 * dt * k1v, t[i ...

"Heun's method may refer to the improved or modified Euler's method. It is named after Karl Heun and is a numerical procedure for solving ordinary differential equations (ODEs) with a given initial ...

Abstract: We present a modified recursive Newton-Euler method for computing some dynamic expressions that arise in two problems of fault detection and control of serial robot manipulators, and which ...

Abstract: Many natural and engineering phenomena can be attributed to the ordinary differential equation problems, and Euler methods are the most commonly used for solving ordinary differential ...