A desktop application built with C# and Windows Forms that numerically solves first-order ordinary differential equations (ODEs) using the Runge-Kutta methods (RK1, RK2, and RK4). The application ...

This is a preview. Log in through your library . SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods ...

This paper is concerned with numerical stability of nonlinear systems of pantograph equations. Numerical methods based on (k,l)—algebraically stable Runge-Kutta methods are suggested. Global and ...

This repository contains a collection of Jupyter notebooks that cover key topics in numerical analysis. These resources include assignments, tasks, and projects, showcasing practical implementations ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis seeks ...

Abstract: This paper describes the transient vibration analysis of a single-axis inertial vibration machine. In order to avoid the disadvantage of excessive amplitude caused by the resonance zone ...

Abstract: Transient phenomena, resulting from abrupt changes in currents and voltages during switching events, are commonly encountered in circuits. RLC circuits, comprising resistors, inductors, and ...