Abstract: In this work, we propose a complex-valued neural operator (CV-NeuralOp) based on graph neural networks (GNN) to solve 2D wave equation. Inspired by the Green’s function method for solving ...

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 ...

TWA is one such semiclassical approach that dates back to the 1970s, but is limited to isolated, idealized quantum systems ...

The internet is torn over an elementary-level math equation which left many scratching their heads. The viral math problem has X users stumped - but the answer comes from lessons learned in fifth or ...

In a recent study, mathematicians from Freie Universität Berlin have demonstrated that planar tiling, or tessellation, is ...

The new program is validated in a set of clinical pedigrees demonstrating its practical accuracy and relevance to the field. Collectively, the data are compelling and support the major conclusions of ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

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 ...