A problem that has long been considered impossible to solve and that now, thanks to a breakthrough, can be calculated quickly ...
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 ...
Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...
Physics-informed neural networks (PINNs) represent a burgeoning paradigm in computational science, whereby deep learning frameworks are augmented with explicit physical laws to solve both forward and ...
Researchers from The University of New Mexico and Los Alamos National Laboratory have developed a novel computational ...
Marginal Stability and Stabilization in the Numerical Integration of Ordinary Differential Equations
This is a preview. Log in through your library . Abstract Strongly stable and consistent multistep methods with maximum order are subject to marginal (or weak) stability. In this paper we introduce ...
THE main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. Even the revolution effected by ...
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