Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

SIAM Journal on Numerical Analysis, Vol. 50, No. 6 (2012), pp. 3351-3374 (24 pages) In this paper quasi-Monte Carlo (QMC) methods are applied to a class of elliptic partial differential equations ...

We also prove that the two sets of Maxwell equations only depend on the non-linear elations of the conformal group of ...

Abstract: This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF ...

The program is written in C++ and solves the algebraic Riccati equation with a singular matrix E using the ADI method. Equation is taken from Shafiee's article «Optimal control for a class of singular ...

Covering half of North America, the U.S. electric grid functions somewhat like a vast, complex organism. Researchers at the ...

Researchers at the Department of Energy’s Oak Ridge National Laboratory have developed a new simulation platform for ...

The RE-INTEGRATE grid modeling tool provides faster, more affordable analysis of real-world grid behavior to prevent ...