In recent years, an abundance of new molecular structures have been elucidated using cryo-
electron microscopy (cryo-EM), largely due to advances in hardware technology and data …

In this chapter we consider approximative methods for the fast computation of multivariate
discrete Fourier transforms for nonequispaced data (NDFT) in the time domain and in the …

In this work, we demonstrate how physical principles—such as symmetries, invariances and
conservation laws—can be integrated into the dynamic mode decomposition (DMD). DMD is …

Decimeter-Level Localization with a Single WiFi Access Point Page 1 This paper is included
in the Proceedings of the 13th USENIX Symposium on Networked Systems Design and …

A number of problems in probability and statistics can be addressed using the multivariate
normal (Gaussian) distribution. In the one-dimensional case, computing the probability for a …

It is well known that the trapezoidal rule converges geometrically when applied to analytic
functions on periodic intervals or the real line. The mathematics and history of this …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

This paper describes two digital implementations of a new mathematical transform, namely,
the second generation curvelet transform in two and three dimensions. The first digital …

The fast Fourier transform (FFT) is used widely in signal processing for efficient computation
of the FT of finite-length signals over a set of uniformly spaced frequency locations …

The nonuniform fast Fourier transform (NUFFT) generalizes the FFT to off-grid data. Its many
applications include image reconstruction, data analysis, and the numerical solution of …