Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

The fuzzy quantum shape that describes the speed or location of a single particle, its wave function, has now been directly measured in the laboratory, giving this mathematical concept a small dose of ...

SIAM Journal on Numerical Analysis, Vol. 54, No. 2 (2016), pp. 1093-1119 (27 pages) A fully discrete approximation of the semilinear stochastic wave equation driven by multiplicative noise is ...

At the heart of quantum mechanics is a mysterious equation known as the wave function. It helps explain the behavior of elementary particles, but also challenges the notion that there's only one ...

The form you should use may be given to you in a question, but if not, any one will do. If in doubt, \(k\cos (x - \alpha )\) usually works. These worked examples show the processes you'll need to go ...