Massive Symbolic Mathematical Computations and Their Applications
Abstract
The development is continued on codes solving large-scale realistic models of aero-, hydrodynamic and astrophysical problems on fast vector and parallel versions of three-dimensional of aero- and hydrodynamics codes, tested by us on a variety of two-dimensional problems. These codes are used now for solutions of astronomical, astrophysical and cosmological problems. The main part of the code development is the reduction of its computational complexity, to make it feasible to run in a moderate time (days of super-computers) large simulations of galaxy evolution over a large fraction of Hubble time. For this purpose we use symbolic computational methods and computer algebra programs and tools, developed by us. Particularly successful was the development of specialized fast (scalar, vector and parallel) subroutines of evaluation of special functions and their integrals in the astrophysical code (needed for computation of chemical, thermodynamical and gravitational effects), that consume most of the runtime of the programs. Our algorithms for special function evaluations are based on our fast methods of power series and rational approximation computations. Keywords: Parallel processing; Symbolic programming.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 16, 1988
- Accession Number
- ADA200253
Entities
People
- David V. Chudnovsky
- Gregory V. Chudnovsky
- K. Prendergast
- Morton B. Friedman
Organizations
- Columbia University