AI techniques excel at solving complex equations in physics, especially inverse problems

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
IEEE

Fast Solving Partial Differential Equations via Imitative Fourier Neural Operator

Abstract: Neural operators are a class of neural networks to learn mappings between infinite-dimensional function spaces, and recent studies have shown that using neural operators to solve partial ...
World Scientific

Solving Linear Partial Differential Equations

"This booklet provides a very lucid and versatile introduction to the methods of linear partial differential equations. It covers a wealth of very important material in a concise, nevertheless very ...
IEEE

Federated Scientific Machine Learning for Approximating Functions and Solving Differential Equations With Data Heterogeneity

Abstract: By leveraging neural networks, the emerging field of scientific machine learning (SciML) offers novel approaches to address complex problems governed by partial differential equations (PDEs) ...
University of Oslo

IN5270 – Numerical methods for partial differential equations

The course provides a thorough introduction to design, analysis (both theoretical and empirical), and programming of difference and elemental methods to solve differential equations. In addition, the ...
Frontiers

An evolutionary game analysis of the promotion of shipborne low-temperature freezing technology for sea-caught shrimps among the government, fishermen, and consumers

In the era of heightened focus on sustainable marine fisheries development, the Shipborne Low-Temperature Freezing Technology is crucial for enhancing the preservation effect of seafood, improving ...