Local uniform grid refinement (LUGR) is an adaptive grid technique for computing solutions of partial differential equations possessing sharp spatial transitions. Using nested, finer-and-finer uniform ...

The aim of this paper is to analyze explicit exponential Runge-Kutta methods for the time integration of semilinear parabolic problems. The analysis is performed in an abstract Banach space framework ...

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

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 ...