Spectral methods are of fundamental importance in statistics and machine learning, because they underlie algorithms from classical principal components analysis to more recent approaches that exploit ...

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

Course on using spectral methods to solve partial differential equations. We will cover the exponential convergence of spectral methods for periodic and non-periodic problem, and a general framework ...

Researchers have created a new method to extract the static and dynamic structure of complex chemical systems. In this context, 'structure' doesn't just mean the 3-D arrangement of atoms that make up ...

Biologists are very interested in how proteins, lipids and other compounds are organized and interact in systems. Very few organizational details can be gained by using standard transmission-based ...

Combination of electrical, spectral, and laser methods yields new behavior of seawater resistance and plasma generation ...