This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

Maxwell's equations form the cornerstone of electromagnetic theory, offering a complete description of how electric and magnetic fields interact with matter. In combination with state‐of‐the‐art ...

In this paper we study numerical methods to approximate the adapted solutions to a class of forward-backward stochastic differential equations (FBSDE's). The almost sure uniform convergence as well as ...

The method of upper-lower solutions for continuous parabolic equations is extended to some finite difference system for numerical solutions. The idea of this method is that by using the upper or lower ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

You can receive a 15% discount on “Sound System Engineering” by going to www.elsevierdirect.com and typing in the order code 92837 when ordering, or by calling 1-800-545-2522 and mentioning 92837 when ...

At a quick glance, could you tell the difference between a group of 20 dots and a group of 30? What about 20 and 21? It seems like there must be a point at which you'd simply be guessing, but recent ...

It is a pleasure to introduce the latest issue of The Journal of Computational Finance. The first two contributions focus on using novel neural network machinery to enhance classical financial ...