MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation
Mathematical Software
2016-11-01 v1 Computational Engineering, Finance, and Science
Numerical Analysis
Abstract
MADNESS (multiresolution adaptive numerical environment for scientific simulation) is a high-level software environment for solving integral and differential equations in many dimensions that uses adaptive and fast harmonic analysis methods with guaranteed precision based on multiresolution analysis and separated representations. Underpinning the numerical capabilities is a powerful petascale parallel programming environment that aims to increase both programmer productivity and code scalability. This paper describes the features and capabilities of MADNESS and briefly discusses some current applications in chemistry and several areas of physics.
Cite
@article{arxiv.1507.01888,
title = {MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation},
author = {Robert J. Harrison and Gregory Beylkin and Florian A. Bischoff and Justus A. Calvin and George I. Fann and Jacob Fosso-Tande and Diego Galindo and Jeff R. Hammond and Rebecca Hartman-Baker and Judith C. Hill and Jun Jia and Jakob S. Kottmann and M-J. Yvonne Ou and Laura E. Ratcliff and Matthew G. Reuter and Adam C. Richie-Halford and Nichols A. Romero and Hideo Sekino and William A. Shelton and Bryan E. Sundahl and W. Scott Thornton and Edward F. Valeev and Álvaro Vázquez-Mayagoitia and Nicholas Vence and Yukina Yokoi},
journal= {arXiv preprint arXiv:1507.01888},
year = {2016}
}