Abstract: The Poisson equation is an elliptic partial differential equation that frequently emerges when modeling electromagnetic systems. However, like many other partial differential equations, ...

This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential ...

This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

This repository allows you to solve forward and inverse problems related to partial differential equations (PDEs) using finite basis physics-informed neural networks (FBPINNs). To improve the ...

This paper sets out to present a numerical procedure that solves Poisson’s equation in a spherical coordinate system. To discretize this equation, integration techniques at the interfaces between ...

Abstract: Inspired by the concept of fully-actuation for second-order mechanical systems, in this paper we introduce the definition of fully-actuated generalized Sylvester equations, which are closely ...

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