Parallel computations and complex analytic approximations: From diophantine approximations to quantum mechanics

Conference · Fri Dec 01 00:00:00 EST 1995

OSTI ID:125511

Chudnovsky, D V; Chudnovsky, G V ^[1]

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1. Columbia Univ., New York, NY (United States)

High precision solution of extremal and (complex analytic) approximations problems that can be represented in terms of multiple integrals or integral equations involving hypergeornetric functions are examined. Fast algorithms of computations of (approximate) solutions are presented that are well suited for parallelization. Among problems considered are: WKB and adelic asymptotics of multidimensional hypergeometric Pade approximations to classical functions, and high accuracy computations of high order eigenvalues and eigenstates for 2D and 3D domains of complex geometry.

• OSTI ID: 125511
• Report Number(s): CONF-950212-; TRN: 95:005768-0055
• Resource Relation: Conference: 7. Society for Industrial and Applied Mathematics (SIAM) conference on parallel processing for scientific computing, San Francisco, CA (United States), 15-17 Feb 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the seventh SIAM conference on parallel processing for scientific computing; Bailey, D.H.; Bjorstad, P.E.; Gilbert, J.R. [eds.] [and others]; PB: 894 p.
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
FUNCTIONS
COMPUTERIZED SIMULATION
PARALLEL PROCESSING
ALGORITHMS
QUANTUM MECHANICS
NUMERICAL ANALYSIS