You don’t have to know how a car engine works to drive a car — but you can bet all the drivers in the Indy 500 have a better than average understanding of what’s going on under the hood. All of our ...

Discontinuous Galerkin methods represent a powerful and flexible class of finite element techniques that have gained prominence in the simulation of wave propagation phenomena governed by the ...

When you think of art, you might think of portraiture, landscapes, or other kinds of paintings. But mathematics can feel artistic at times, too. We’ve all seen gorgeous Mandelbrot fractals, and less ...

Regular magnets have two poles, a north and a south, and their behavior is defined in classical terms by the Maxwell equations. From contemporaries of Maxwell through to modern researchers, there have ...

This paper rigorously analyses preconditioners for the time-harmonic Maxwell equations with absorption, where the PDE is discretised using curl-conforming finite-element methods of fixed, arbitrary ...

SIAM Journal on Numerical Analysis, Vol. 56, No. 1 (2018), pp. 369-396 (28 pages) In this paper, we study a Crank-Nicolson finite element method for the modified Maxwell-SchrÖdinger equations, which ...

Phonons are indeed recognized as vibrations of the lattice that transport heat energy in solids. To contemplate on the idea ...