Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

A hundred years ago this week, at the height of the quantum revolution, Austrian physicist Erwin Schrödinger submitted a manuscript for publication. Its centerpiece was an innocuous-looking equation ...

Dr. James McCaffrey presents a complete end-to-end demonstration of decision tree regression from scratch using the C# language. The goal of decision tree regression is to predict a single numeric ...

Ryan Eichler holds a B.S.B.A with a concentration in Finance from Boston University. He has held positions in, and has deep experience with, expense auditing, personal finance, real estate, as well as ...

Abstract: To address the stability constraints associated with small elements in the traditional explicit wave equation-based discontinuous Galerkin time domain (DGTD) method for multiscale modeling, ...

Abstract: This paper investigates the safety analysis and verification of nonlinear systems subject to high-relative-degree constraints and unknown disturbance. The closed-form solution of the ...