4.6 Article

MADNESS: A MULTIRESOLUTION, ADAPTIVE NUMERICAL ENVIRONMENT FOR SCIENTIFIC SIMULATION

Journal

SIAM JOURNAL ON SCIENTIFIC COMPUTING
Volume 38, Issue 5, Pages S123-S142

Publisher

SIAM PUBLICATIONS
DOI: 10.1137/15M1026171

Keywords

scientific simulation; multiresolution analysis; high-performance computing

Funding

  1. Office of Advanced Scientific Computing Research's Math Program
  2. SciDAC Program, U.S. Department of Energy
  3. DOE Office of Science User Facility [DE-AC02-06CH11357]
  4. National Science Foundation [ACI-1450344, ACI-1047696, ACI-1450262]
  5. Division Of Mathematical Sciences [1413039] Funding Source: National Science Foundation
  6. Office of Advanced Cyberinfrastructure (OAC) [1450344] Funding Source: National Science Foundation
  7. Grants-in-Aid for Scientific Research [16H04101] Funding Source: KAKEN

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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.

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