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Faculty of Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, Ljubljana SI-1000, Slovenia Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, United ...

Department of Applied Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada Waterloo Institute for Nanotechnology, University of Waterloo, Waterloo, ON N2L 3G1, Canada ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

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Electromagnetic (EM) Logging While Drilling (LWD) plays an increasingly significant role in oil and gas exploration and development. Fast and accurate simulation of EM LWD is essential for optimizing ...

In numerous physical and biological systems, differential equations with parameters are commonly used to model specific behaviors or phenomena. These parameters frequently represent physical ...

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.

Affine Finite Crystals In this document we briefly explain the construction and implementation of the Kirillov--Reshetikhin crystals of [FourierEtAl2009]_. Kirillov--Reshetikhin (KR) crystals are ...