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

This is a minimal Quarto project containing only the source files (no build output). Drop these files into a new GitHub repo (or upload via the web UI) and then use Quarto locally to render.

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 ...

Abstract: In this paper, we present a robust and accurate numerical method for solving the generalized Black–Scholes equation governing option pricing. We use a horizontal method of lines to ...

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

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 ...