Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Marcus stochastic differential equations (SDEs) often are appropriate models for stochastic dynamical systems driven by non-Gaussian Lévy processes and have wide applications in engineering and ...

Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science. The study of wave phenomena by means of mathematical models often leads to a certain class of ...

Mathematical foundations and definitions specific to the Grassmann.jl implementation provide an extensible platform for computing with a universal language for finite element methods based on a ...

This article discusses the stability problem of coupled linear differential-difference equations with norm bounded uncertainty. Coupled differential-difference equations represent a very general class ...

Planar Fabry-Perot-based ultrasound sensors are highly sensitive for their small element size when interrogated with focused Gaussian beams. Here we announce the development of two models that can ...