you´ll know some of the most common differential equations. you´ll have mastered the basic steps in constructing and applying the difference and element methods to simple representative examples of ...

The aim of this course is to provide an introduction to modern methods for studying nonlinear partial differential equations. The content of the course, which can change from time to time, is built ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Abstract: Problems involving the classical linear partial differential equations of mathematical physics can be reduced to algebraic ones of a very much simpler structure by replacing the ...

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

Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, NY 10012, USA ...

Abstract: In this article, we investigate the event-triggered consensus control approaches for multiple single-link flexible manipulators formulated by partial differential equations with time-varying ...

We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or ...

For a couple of years or so the brouhaha about AI has been on us. The one worry that consistently nags me is the lack of ...

Engineering simulations often require significant computational resources and time, which creates barriers for users and can ...

However, based on the second-order partial differential acoustic wave equation, Wang et al. (2005) had realized a second-order FD solution in pseudo-space domain using regular grid, which cannot meet ...