Skip to Main Content
Computer Arithmetic and Validity
book

Computer Arithmetic and Validity

by Ulrich Kulisch
April 2013
Intermediate to advanced content levelIntermediate to advanced
456 pages
16h 7m
English
De Gruyter
Content preview from Computer Arithmetic and Validity
326 Chapter 9 Sample applications
In this case the error term is expressed by the Euler–MacLaurin sum formula. An
adaptive step size control by the error term concentrates the work to those areas where
the function is steep or where it oscillates severely. This reduces the execution time.
The following bounds are obtained in double precision floating-point arithmetic:
I
1
2 0.910964039265932
9
8
,
I
2
20.151963942232930
6
5
.
See [5, 293, 351, 629, 712, 714].
Both integrals are difficult to compute with conventional approximate methods. Es-
timation of the error term for automatic step size control is difficult with traditional
floating-point arithmetic. More details ...
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Arithmetic and Logic in Computer Systems

Arithmetic and Logic in Computer Systems

Mi Lu
Interval Analysis

Interval Analysis

Günter Mayer

Publisher Resources

ISBN: 9783110301731