Radio wave propagation underpins numerous applications in communication, surveillance and remote sensing, and understanding its nuances is essential for the advancement of modern wireless technologies ...

Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...

It is shown that the energy estimate is a special property of L2: similar estimates involving exponents p ≠ 2 are false. Strichartz's global Lebesgue space estimate ∥E+ f∥q ≤ C∥f∥p (E+ the forward ...

SIAM Journal on Numerical Analysis, Vol. 44, No. 6 (2006), pp. 2408-2431 (24 pages) The symmetric interior penalty discontinuous Galerkin finite element method is presented for the numerical ...

A while back, [Chris Lu] was studying how analog circuits, specifically op-amps can be used to perform mathematical operations and wondered if they could be persuaded to solve differential equations, ...

This paper describes the eccentricity, amplitude, phase shift, angular momentum, polarization, radial path, and orbital ...

where f(0) = 0. Here, u(x,t) is a real-valued function of n-dimensional space x and of time t. By periodic solution we understand solutions that are periodic in time and square integrable in space.

Physicists from the Canadian Institute for Measurement Standards are the first to measure a quantum mechanical wave function. And it only took 88 years from the formulation of Schroedinger’s equation!

When waves meet a gap or an edge in a barrier, they continue through the gap or past the edge of the barrier. This may seem obvious but what happens on the far side of the gap or barrier is not so ...

This course is available on the BSc in Business Mathematics and Statistics, BSc in Mathematics and Economics, BSc in Mathematics with Economics and BSc in Mathematics, Statistics and Business. This ...