A University of Oxford professor has won a prestigious international award. Mathematics Tutor and Fellow Professor Patrick Farrell has been awarded the 2025 Germund Dahlquist Prize by the Society for ...

Beam is one of the common structures in engineering, with the development of technology, homogeneous beams no longer meet the ...

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

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

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 ...

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 ...

Simulation and Parameter Estimation in Geophysics - A python package for simulation and gradient based parameter estimation in the context of geophysical applications.

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 ...