This is the experimental development code for a sequence of papers on a class of ODE solving algorithms named Step Truncation Methods. These algorithms aim to mitigate the curse of dimensionality in ...

Usage of ode45 and ode15s As is illustrated in MATLAB help and documentations, ode45 and ode15s are similar in usage and basic structure, while the benefits and efficiency may differ when applied to ...

Abstract: This paper describes the kinematics of physical model simulation by using the Open Dynamics Engine (ODE) and matrix based simulation by using MATLAB. In order to confirm the simulation ...

ABSTRACT: We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric ...

ABSTRACT: A stronger concept of complete (exact) controllability which we call Trajectory Controllability is introduced in this paper. We study the Trajectory Controllability of an abstract nonlinear ...