MADNESS: A Multiresolution, Adaptive Numerical Environment for Scientific Simulation

SIAM SISC 38, S123-S142 (2016) 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 ba...

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Bibliographic Details
Main Authors:	Harrison, Robert J, Beylkin, Gregory, Bischoff, Florian A, Calvin, Justus A, Fann, George I, Fosso-Tande, Jacob, Galindo, Diego, Hammond, Jeff R, Hartman-Baker, Rebecca, Hill, Judith C, Jia, Jun, Kottmann, Jakob S, Ou, M-J. Yvonne, Ratcliff, Laura E, Reuter, Matthew G, Richie-Halford, Adam C, Romero, Nichols A, Sekino, Hideo, Shelton, William A, Sundahl, Bryan E, Thornton, W. Scott, Valeev, Edward F, Vázquez-Mayagoitia, Álvaro, Vence, Nicholas, Yokoi, Yukina
Format:	Journal Article
Language:	English
Published:	05-07-2015
Subjects:	Computer Science - Computational Engineering, Finance, and Science Computer Science - Mathematical Software Mathematics - Numerical Analysis
Online Access:	Get full text
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Summary:	SIAM SISC 38, S123-S142 (2016) 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.
DOI:	10.48550/arxiv.1507.01888