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 ...

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 ...

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 ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

The non-uniform rational B-splines (NURBS) basis functions to discretize the fourth-order partial differential equation for flexoelectricity and obtains a deterministic ... Moreover the finite ...

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

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 ...