Difference equations, serving as the discrete analogue to differential equations, have long been a linchpin in the study of dynamic systems. These equations define sequences recursively, and their ...
The study of differential-difference equations and boundary value problems occupies an essential niche in applied mathematics, linking the theory of differential operators with discrete translation ...
ABSTRACT: We implemented a two-step Asymmetric Perfectly Matched Layer (APML) model in High-Order Finite Difference Time Domain (FDTD) algorithm for solving two-dimensional Maxwell’s equations.
This Github repo contains the data and codes necessary to replicate Zhou and Müller (2024): “Dynamic Modeling of Sparse Longitudinal Data and Functional Snippets With Stochastic Differential Equations ...
Welcome to the Differential Equations and Modeling repository! This resource is tailored for educational purposes, providing detailed practice assignments and exercises that encompass a wide range of ...
Abstract: The aim of present paper is to propose several dynamical models of nonlinear Fabry-Perot resonators. The models are all described by sets of difference-differential (delay-differential) ...
Abstract: A straightforward and simple time-domain simulation algorithm is proposed, which is similar to the well-established finite-difference time-domain method (FDTD) based on Maxwell equations.
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...
ABSTRACT: A mathematical model integrating both vaccination and treatment strategies for childhood pneumonia is developed to assess conditions for effective disease control. Special attention is given ...
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