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, ...

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 ...

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 ...

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.

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

According to quantum mechanics, the physics theory that describes the zoo of subatomic particles, all matter can be described as both particles and waves. But is it real? When you purchase through ...

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!

Waves cause a disturbance of the medium through which they travel, which allows them to carry energy. The quantity of energy carried relates to the amplitude of the wave. Revise: Sound The amplitude ...