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 ...

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 ...

Mathematicians at the Okinawa Institute of Science and Technology (OIST) are developing a new approach to detect cancer early ...

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 ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space ...

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 ...

The adaptable technological solution has the potential to revolutionize engineering designs. A breakthrough in artificial ...

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: ...