A century ago, Erwin Schrödinger came up with an equation that says how the quantum world behaves. Now scientists are asking ...

Long before quantum mechanics existed, a scientist developed a powerful way of describing motion by drawing an analogy between particles and light.

Arbitrary waveform generators (AWGs) and other instruments with programmable analog outputs often let you use equations to create waveform points. Math functions in equations let you create “perfect” ...

Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

The field of asymptotic analysis serves as a cornerstone in understanding the behaviour of wave equations and their applications in hydrodynamics. This area of research focuses on developing ...

Abstract Waveform relaxation methods are decoupling or splitting methods for large scale ordinary differential equations. In this paper, we apply the methods directly to semi-linear parabolic partial ...

In modern Earth science research, how to “understand” the Earth’s internal structure and dynamic processes has always been a core issue of concern for scientists. However, due to the inaccessibility ...

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 ...

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 ...