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 ...

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 ...

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 ...

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, ...

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 ...

Wave speed is a measure of how quickly the wave travels from its source. Its value is the same as the distance covered by a wave in one second. Speed is measured in metres per second \(m\,s^{-1}\) and ...