Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

The aim of the course is the study of partial differential equations. The focus will be on first order quasilinear equations, and second order linear equations. The method of characteristics for ...

This analog computer on a chip is useful for certain kinds of operations that CPUs are historically not efficient at, including solving differential equations. Other applications include matrix ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field which has become exceedingly technical in recent years. With this book, the authors provide a ...

To solve these difficult equations ... In a new paper, "Physics-enhanced deep surrogates for partial differential equations," published in December in Nature Machine Intelligence, a new method ...

More information: Leticia Mattos Da Silva et al, A Framework for Solving Parabolic Partial Differential Equations on Discrete ...

We also investigate using classical numerical methods (such as finite differences) to solve these neural network PDEs, which is the effort of current work. In the past few years. using neural networks ...

The first volume begins by developing the basic issues at an elementary level in the context of a set of model problems in ordinary differential equations. The authors then widen the scope to cover ...

An advanced course in the analytical and numerical study of ordinary and partial differential equations, building on techniques developed in Differential Equations I. Ordinary differential equations: ...