This project investigates the approximation capabilities of Rectified Linear Unit (ReLU) neural networks and compares their performance with classical numerical methods, specifically Finite Element ...

Computational fluid dynamics (CFD) has become an integral part of engineering decision-making, providing a deeper understanding of how fluids behave in various scenarios, from the high skies in ...

ABSTRACT: The accuracy of interpolation models applied to groundwater depends, among other factors, on the interpolation method chosen. Therefore, it is necessary to compare different approaches. For ...

To fulfill the 2 Core Courses, take two Core Courses from two different Core Areas. CSE Core Courses are classified into six areas: Introduction to CSE, Computational Mathematics, High Performance ...

Methods in numerical analysis. Includes: Lagrange interpolation, Chebyshev polynomials for optimal node spacing, iterative techniques to solve linear systems (Gauss-Seidel, Jacobi, SOR), SVD, PCA, and ...

Abstract: In this study, the Total Field/Scattered Field (TF/SF) formulation, one of the methods used for effectively introducing far-field sources into the Finite-Difference Time-Domain (FDTD) Method ...

ABSTRACT: In this paper we propose a numerical collocation method to approximate the solution of linear integral mixed Volterra Fredholm equations of the second kind, with particular weakly singular ...

Abstract: This paper introduces a novel method of field interpolation in Finite Difference schemes. The method is simple and give results more accurate than the linear interpolation algorithm. The ...