Multiple multiresolution representation of functions and calculus for fast computation

Conference · Fri Jan 01 00:00:00 EST 2010

OSTI ID:1025865

Fann, George I ^[1]; Harrison, Robert J ^[1]; Hill, Judith C ^[1]; Jia, Jun ^[1]; Galindo, Diego A ^[1]

---

1. ORNL

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1025865
• Resource Relation: Conference: SciDAC 2010, Chattanooga, TN, USA, 20100711, 20100715
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ACCURACY
COMPUTER CODES
PROGRAMMING
IMPLEMENTATION