Scientists from Tokyo Metropolitan University have re-engineered the popular Lattice-Boltzmann Method (LBM) for simulating ...

For much of my career, I have been fascinated by the ways in which materials behave when we reduce their dimensions to the ...

Three thought experiments involving “demons” have haunted physics for centuries. What should we make of them today?

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 ...

In 1900, at the grand amphitheater of the Sorbonne in Paris, David Hilbert stood before a crowd of mathematicians and delivered a speech that would echo through the next century. He outlined 10 — and ...

When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...

Methods of solution of the Boltzmann equation for the distribution of electrons in an anisotropic metal are discussed. Some general properties of integral equations are used to develop a method ...

"Even the +, −, =, and x signs we take for granted only came into widespread use in the 17th century. Which means that the earlier algebraists we know of … all had expressed their equations mostly in ...

The treatment of control problems governed by systems of conservation laws poses serious challenges for analysis and numerical simulations. This is due mainly to shock waves that occur in the solution ...

Abstract: We introduce a fourth order version of the Boltzmann-Hamel equations, which yields a reduced set of equations for the kinematic and dynamic optimal control problems for mechanical systems ...