The German Research Foundation (DFG) has approved funding for the establishment of two new research training groups and the extension of one existing research training group at the University of ...

Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables ...

Partial differential equations (PDEs) are a class of mathematical problems that represent the interplay of multiple variables, and therefore have ...

Does the machine's ability to go 'beyond classical computation' show supremacy despite the tortured history of the term?

(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 ...

More information: Ross Glyn MacDonald et al, Solving partial differential equations with waveguide-based metatronic networks, Advanced Photonics Nexus (2024). DOI: 10.1117/1.APN.3.5.056007 ...

Abstract: Recently, quantum computer started being applied to solve differential equations, which are commonly used to model system behaviors in science and engineering disciplines. However, the ...

This repository provides some basic examples of using deep neural networks and feed-forward and LSTM-like neural networks to solve ordinary differential equations (ODEs), partial differential ...