Neel Somani has built a career that sits at the intersection of theory and practice. His work spans formal methods, mac ...

Method Transforms Service Contract/Extended Warranty Accounting for $250 Billion+ Global Industry; Projected To Unlock ...

Learn how to solve boundary value problems in Python using the finite difference method! 🐍📐 This tutorial walks you step-by-step through setting up the problem, discretizing the domain, and ...

Abstract: This article presents the finite-difference time-domain (FDTD) method for gauge-invariant field-impulses, which constitute the fundamental physical quantities of electromagnetics (EM) in ...

ABSTRACT: The solution of the Riemann Problem (RP) for the one-dimensional (1D) non-linear Shallow Water Equations (SWEs) is known to produce four potential wave patterns for the scenario where the ...

Abstract: The Moving Window Finite Difference Time Domain (MW-FDTD) method reduces the computational domain by following the propagation of the main pulse front and is widely used for solving ...

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. The development of machine learning interatomic potentials (MLIPs) has revolutionized ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

The mGFD (meshless Generalized Finite Differences) repository provides a comprehensive solution for numerically solving Partial Differential Equations in two dimensions on highly irregular regions.