Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

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

[4] Differential and integral equations for the Laguerre–Gould–Hopper-based Appell and related polynomials. Boletín de la Sociedad Matemática Mexicana (2019).

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

We define the concepts of derivative and integral of fuzzy functions using the extension principle of Zadeh on the corresponding classical operators. Here are some of its properties and we articulate ...

This monograph offers a comprehensive exposition of the theory surrounding time-fractional partial differential equations, featuring recent advancements in fundamental techniques and results. The ...

The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones. The results obtained by treating the ...

Neural networks are increasingly used widely in the solution of partial differential equations (PDEs). This letter proposes 3D-PDE-Net to solve the three-dimensional PDE. We give a mathematical ...

Ordinary Differential Equations. Introduction to methods for finding solutions to differential equations involving a single, independent variable. Topics include linear equations, exact solutions, ...

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

1993: Numerical solution of differential equations P.A. Burton - Re-iterative methods for integral equations. J.M. Hobbs - A moving finite element approach to semiconductor process modelling in 1-D..

Differential and integral calculus by Love, Clyde E. (Clyde Elton), b. 1882; Rainville, Earl David, 1907- Publication date 1962 Topics Calculus Publisher New York, Macmillan Collection americana Book ...