A mathematical problem that had remained unsolved for more than 10 years in the physics of complex systems has finally been ...
Giraffe intelligence research is changing how the world views animal cognition. A new scientific discovery shows that ...
Reproducing kernel Hilbert space method is utilized in this paper as an efficient approach to solve singular fourth order ...
For decades, one of the biggest questions in cosmology has remained frustratingly out of reach: what, if anything, existed before the Big Bang? Now, researchers are using advanced computational ...
Some of the hardest questions in cosmology begin where the usual math gives up. Push Einstein’s theory far enough back toward the Big Bang, and the equations run into a singularity, a point where ...
By taking general relativity into higher dimensions, a trio of physicists has proven that a mathematical pattern of ripples in space-time geometry could give rise to naked singularities and ...
Abstract: Based on deep neural network, elliptic partial differential equations in complex regions are solved. Accurate and effective strategies and numerical methods for elliptic partial differential ...
Let's take a moment to look back at the landscape we have covered so far. Throughout this series, we have examined eigenvalue problems from various angles. It began with the form we encounter in ...
From a technical point of view, the internal structure of the library is pretty cool -- all kinds of equations (ODEs, SDEs, CDEs) are solved in a unified way (rather than being treated separately), ...
Earlier today I set you the following set of numerical challenges to celebrate the arrival of 2026. Auld lang signs Here is an expression equal to 26 that uses six 1s: (1+1)×(1+1+11) Find expressions ...
A team of scientists claims a computational tool for studying black hole collisions could be our best bet for answering mysterious questions about the universe’s origins. In a new paper in Living ...
It is one of cosmology’s most perplexing questions: what happened before the Big Bang? Although the question has been debated for decades—with some even viewing it as a matter that should be left to ...