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

We will present stochastic dynamical models via stochastic differential equations and study existence and uniqueness of solutions, linear stochastic differential equations, theory for diffusion ...

A collection of resources regarding the interplay between differential equations, deep learning, dynamical systems, control and numerical methods.

Physical models that simulate viscoelastic phenomena with random effects often use stochastic wave equations, but to simulate viscoelastic phenomena depends on past random effects, stochastic wave ...

This chapter contains sections titled: Introduction Differential Equations for a Uniform Line with AC Excitation Transmission-line Equations for a Uniform Line with General Excitation Characteristic ...

In this paper, iterative learning control is applied to the continuous linear time invariant system with random noise term. The system with continuous time and ...

Despite this diversity in the origins of noisy oscillations, each of the mechanisms above can be instantiated as a Markov process, for example, as a system of stochastic differential equations.

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The aim of this paper is to study the local in time well-posedness of a collisional thin spray model, that is a coupling between Euler equations for a perfect gas and a Vlasov–Boltzmann equation for ...