Physics-informed neural networks were tested for their capabilities in predicting concentration profiles in gradient liquid ...

Researchers have developed a framework that can boost the protection of critical infrastructure in the country against the threat of ballistic missiles. According to an official release, this ...

The aim of this course is to provide an introduction to modern methods for studying nonlinear partial differential equations. The content of the course, which can change from time to time, is built ...

Abstract: In this article, we propose a numerical method for calculating solutions of the PDE (the heat equation for the cathode temperature and the continuity equation for the current density inside ...

Abstract: This article investigates a novel neural adaptive boundary control strategy for a class of switched partial differential equation (PDE) systems with persistent dwell-time (PDT) switching ...

The West has fractured, and Putin knows it. By German Lopez For Ukraine, a peace deal with Russia is not just about stopping the war. A deal should also prevent the next one — by convincing ...

Nature Research Intelligence Topics enable transformational understanding and discovery in research by categorising any document into meaningful, accessible topics. Read this blog to understand ...

Pre-built implicit layer architectures with O(1) backprop, GPUs, and stiff+non-stiff DE solvers, demonstrating scientific machine learning (SciML) and physics-informed machine learning methods ...

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...

Chemistry, mathematics and physics are central to our understanding of nature. Physics explores the fundamental laws of mechanics, electromagnetism, quantum mechanics and relativity. Chemistry studies ...