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Abstract: An analog memristor-crossbar-array-based non-linear partial differential equation (PDE) solver is developed and verified through circuit-level simulations using realistic memristor device ...

This repository now supports Structured Linear Controlled Differential Equations (SLiCEs), which replace the non-linear vector fields of NCDEs and Log-NCDEs with structured linear vector fields, ...

This article delves into the applications of fractional calculus, an extension of classical calculus that introduces non-integer derivative orders. The primary focus of this research is to present a ...

A lifelong gamer, film fanatic and fan of all things geeky, Andy studied Film and TV Screenwriting at university and achieved a master's degree in Scriptwriting in 2017. As a professional writer, Andy ...

Abstract: This note studies the stability problem of nonlinear positive differential-difference equations with unbounded time-varying delays. Under assumptions on the nonlinear vector fields, such as ...

ABSTRACT: In this paper, we study the second-order nonlinear differential systems of Liénard-type x ˙ = 1 a( x ) [ h( y )−F( x ) ] , y ˙ =−a( x )g( x ) . Necessary and sufficient conditions to ensure ...

Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged ...

Nonlinear differential equations appear in many domains and are notoriously difficult to solve. Whereas previous quantum algorithms for general nonlinear differential equations have complexity ...

Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for linear differential ...