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Abstract: Numerical integration, or time domain simulation, is an important tool to study dynamical systems. Many dynamical systems are stiff, for instance, electric power systems consist of a variety ...

The present article discusses the relation between boundary conditions and the Sommerfeld radiation condition underlying the dynamics of unbounded domains. It is shown that the classical Dirichlet, ...

This project implements numerical solutions to the one-dimensional (1D) heat equation using both explicit and implicit models. The objective is to compare the performance of four different numerical ...

This repository contains information and code to reproduce the results presented in the article Using a recent characterization of energy-preserving B-series, we derive the explicit conditions on the ...

ABSTRACT: An Alternating Group Explicit (AGE) iterative method with intrinsic parallelism is constructed based on an implicit scheme for the Regularized Long-Wave (RLW) equation. The method can be ...

Abstract: The performance of numerical micromagnetic models is limited by the demagnetizing field computation, which typically accounts for the majority of the computation time. For magnetization ...

1 Department of Mathematics, National Institute of Technology, Kurukshetra, India 2 Department of Mathematics, Pt. CLS. Govt. PG College, Karnal, India The aim of the present work is to devote a ...