Accession Number:

ADA222205

Title:

Numerical Solutions to Steady-State Problems with Discontinuities

Descriptive Note:

Final rept.

Corporate Author:

WEIZMANN INST OF SCIENCE REHOVOT (ISRAEL) DEPT OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1989-08-01

Pagination or Media Count:

81.0

Abstract:

The long term systematic advance of multilevel computational methods has continued in 1989. Highly parallelizable multilevel techniques have been developed for the following mathematical tasks 1 Solution of general nonlinear PDE systems, including elliptic and nonelliptic, steady-state and time-dependent problems and inverse problems, pointing toward new type of multigrid solvers in fluid dynamics. 2 Fast integral transforms, including FFT on non-uniform grids. 3 Solution of integro-differential equations. 4 Fast multiplication by a dense matrix or its inverse, including On calculation and solution of n body interactions. 5 Global optimization of systems with many local optima, including in particular discrete optimization. 6 Linear programming, at least for spatial problems. 7 Image restoration. 8 Computing behavior of statistical fields fast calculation of thermodynamic limits. 9 Derivation and super-fast updating of large determinants of grid equations, with special emphasis on Dirac equations. jhd

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE