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 ...

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 ...

(Courtesy: R.G. MacDonald, A. Yakovlev, and V. Pacheco-Peña, doi : 10.1117/1.APN.3.5.056007) Waveguide-based structures can solve partial differential equations by mimicking elements in standard ...

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 ...

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 ...

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 ...

Johns Hopkins biomedical engineers develop new artificial intelligence that enables personal computers to solve massive math ...

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

The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations ...

This book provides an introduction to the theory and application of the solution of differential equations using symmetries, a technique of great value in mathematics and the physical sciences. In ...

The new AI significantly speeds up heart disease predictions, reducing calculation time from hours to 30 seconds. It can be ...