Abstract: This paper proposes a novel approach to uncertainty quantification (UQ) in the partial equivalent element circuit (PEEC) method through a physics-informed neural networks (PINNs)-based ...

The theory of Appell polynomials has long intrigued researchers due to its elegant algebraic structure and rich connections with differential equations. At its core, an Appell sequence is ...

Bulletin mathématique de la Société des Sciences Mathématiques de Roumanie, Nouvelle Série, Vol. 54 (102), No. 2 (2011), pp. 185-191 (7 pages) Subdivision and subdivision/iterative hybrid methods for ...

Partial differential equations (PDEs) are used to describe a wide range of phenomena, such as heat transfer, fluid dynamics, and quantum mechanics. By solving PDEs, we can ob- tain insights into the ...

This is a preview. Log in through your library . Abstract Choosing the appropriate approximation method is a crucial step in solving a broad class of problems. It affects both the quality of the ...