Olive oil and water do not naturally mix. Water molecules are polar, having a net electric dipole moment due to the bend ...

Google and OpenAI have solved decades-old problems — but the scientific community is beginning to discuss whether limits should be placed on the technology ...

MASA (Manufactured Analytical Solution Abstraction) is a library written in C++ (with C, python and Fortran90 interfaces) which provides a suite of manufactured solutions for the software verification ...

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 ...

In 2017, physicist Lenka Zdeborová published a commentary a in Nature Physics offering a snapshot of the use of neural networks in her field. The article had nine references. In 2019, repeating the ...

How long does it take for the last drop of milk or oil to drip out of the bottle? US scientists have probed this everyday conundrum. It makes sense to squeeze every last drop of milk into our coffee ...

In a research project that has real implications for their regular laboratory work, a pair of physicists at Brown University shed light on everyday fluid dynamics in the kitchen. PROVIDENCE, R.I.

Ludwig is a parallel code for the simulation of complex fluids, which include mixtures, colloidal suspensions, gels, and liquid crystals. It takes its name from Ludwig Boltzmann, as it uses a lattice ...

Abstract: A novel algorithm for the topology optimization problem in fluid dynamics is presented, with the Navier-Stokes equations as state constraints, and the objective is to minimize the dissipated ...

The following is an extract from our Lost in Space-Time newsletter. Each month, we hand over the keyboard to a physicist or mathematician to tell you about fascinating ideas from their corner of the ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...