A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

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Solving partial differential equations (PDEs) is a required step in the simulation of natural and engineering systems. The associated computational costs significantly increase when exploring various ...

Abstract: Kinematics, derived from the Greek word for motion, is the branch of mechanics that studies the motion of a body, or a system of bodies, without considering mass or force. This two-part ...

This repository contains a collection of Jupyter Notebooks designed to accompany the two-part Tutorial on Manipulator Differential Kinematics, where each Notebook corresponds to a section within the ...

Abstract: Simulation and control of many dynamic systems involve solving partial differential equations (PDE). This letter proposes a semi-analytical solution (SAS) approach for fast and high-quality ...