Publication Type
Conference Paper
Publication Date
Page Numbers
1 to 10
Publisher Location
Oak Ridge, Tennessee, United States of America
Conference Name
SciDAC 2010
Conference Location
Chattanooga, Tennessee, United States of America
Conference Sponsor
US Department of Energy, Office of Science
Conference Date
-
Abstract
We describe the mathematical representations, data structure and the implementation
of the numerical calculus of functions in the software environment multiresolution analysis
environment for scientific simulations, MADNESS. In MADNESS, each smooth function is
represented using an adaptive pseudo-spectral expansion using the multiwavelet basis to a
arbitrary but finite precision. This is an extension of the capabilities of most of the existing net,
mesh and spectral based methods where the discretization is based on a single adaptive mesh, or
expansions.