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Madness: A multiresolution, adaptive numerical environment for scientific simulation

  • Robert J. Harrison
  • , Gregory Beylkin
  • , Florian A. Bischoff
  • , Justus A. Calvin
  • , George I. Fann
  • , Jacob Fosso-Tande
  • , Diego Galindo
  • , Jeff R. Hammond
  • , Rebecca Hartman-Baker
  • , Judith C. Hill
  • , Jun Jia
  • , Jakob S. Kottmann
  • , M. J.Yvonne Ou
  • , Junchen Pei
  • , Laura E. Ratcliff
  • , Matthew G. Reuter
  • , Adam C. Richie-Halford
  • , Nichols A. Romero
  • , Hideo Sekino
  • , William A. Shelton
  • Bryan E. Sundahl, W. Scott Thornton, Edward F. Valeev, Álvaro Vázquez-Mayagoitia, Nicholas Vence, Takeshi Yanai, Yukina Yokoi
  • University of Colorado Boulder
  • Humboldt University of Berlin
  • Virginia Polytechnic Institute and State University
  • Oak Ridge National Laboratory
  • Florida State University
  • Intel
  • Lawrence Berkeley National Laboratory
  • Microsoft USA
  • University of Delaware
  • Peking University
  • Argonne National Laboratory
  • University of Washington
  • Toyohashi University of Technology
  • Louisiana State University
  • Stony Brook University
  • LaSierra University
  • Institute for Molecular Science (IMS)

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

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 that are 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.

Original languageEnglish
Pages (from-to)S123-S142
JournalSIAM Journal on Scientific Computing
Volume38
Issue number5
DOIs
StatePublished - 2016

Keywords

  • High-performance computing
  • Multiresolution analysis
  • Scientific simulation

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