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.
Author(s): Arnold R. Krommer, Christoph W. Ueberhuber (eds.)
Series: Lecture Notes in Computer Science 848
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1994
Language: English
Pages: 349
City: Berlin; New York
Tags: Numerical Analysis; Algorithms
Applications of numerical integration....Pages 1-23
Fundamentals of numerical integration....Pages 25-34
Integrals....Pages 35-56
Univariate integration formulas....Pages 57-90
Multivariate integration formulas....Pages 91-161
Integration algorithms....Pages 163-192
Load distribution....Pages 193-209
Potential parallelism in integration algorithms....Pages 211-221
Parallelization schemes for integration algorithms....Pages 223-231
Practical parallelization of integration algorithms....Pages 233-255
Parallel data management....Pages 257-276
Assessment of numerical integration software....Pages 277-292
Architecture adaptive integration algorithms....Pages 293-301
