The First Innsbruck Modelling Week in Applied Mathematics is organized by the Department of Mathematics and the Unit of Engineering Mathematics, University of Innsbruck. It takes place at the ...

PINN-based tools for detecting finite-time singularities in PDEs. Features lambda prediction formulas, funnel inference, and Gauss-Newton optimization. Independent implementation inspired by DeepMind ...

This repo contains the JAX implementation of our ICLR 2024 paper, Neural Spectral Methods: Self-supervised learning in the spectral domain. Yiheng Du, Nithin ...

This study introduces a relatively new numerical technique for solving one-dimensional Fisher’s equation. The proposed numerical technique is a simple direct meshless method, which is based on the ...

Abstract: This paper is composed of two sections. The job of the people such as Z. Cai. and R. Lazarov was introduced in the first section, their idea is to use first order system least squares for ...

A new article notes that journal articles reporting how well machine learning models solve certain kinds of equations are often overly optimistic. The researchers suggest two rules for reporting ...

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In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the ...