Abstract We solve the Cauchy problem for the n-dimensional wave equation using elementary properties of the Fourier transform. The Monthly publishes articles, as well as notes and other features, ...

Joseph Fourier, born just 250 years ago, introduced a wonderful idea that revolutionised science and mathematics: any function or signal can be broken down into simple periodic sine-waves. Radio ...

In this paper, the multisymplectic Fourier pseudospectral scheme for initial-boundary value problems of nonlinear Schrödinger equations with wave operator is considered. We investigate the local and ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering.