Numerical Integration: on Advanced Computer Systems

ISBN-13: 9783540584100 / Angielski / Miękka / 1994 / 349 str.

Arnold R. Krommer;Christoph W. Ueberhuber

Opis

This monograph is a comprehensive treatment of the theoretical and computational aspects of numerical integration.
The authors give a unique overview of the topic by bringing into line many recent research results not yet presented coherently; the extensive bibliography lists 268 items. Particular emphasis is given to the potential parallelism of numerical integration problems and to utilizing it by means of dynamic load distribution techniques. The book discusses the basics and provides methodologies for producing efficient and reliable software for numerical integration on advanced computer systems. The book addresses researchers, graduate students, and computational scientists.

Spis treści

Applications of numerical integration.- Fundamentals of numerical integration.- Integrals.- Univariate integration formulas.- Multivariate integration formulas.- Integration algorithms.- Load distribution.- Potential parallelism in integration algorithms.- Parallelization schemes for integration algorithms.- Practical parallelization of integration algorithms.- Parallel data management.- Assessment of numerical integration software.- Architecture adaptive integration algorithms.