Computation of Exponential Integrals

Subscribe (Full Service)


	Search: The ACM Digital Library The Guide

	Feedback

Computation of Exponential Integrals

Full text

Pdf (584 KB)

Source

ACM Transactions on Mathematical Software (TOMS) archive
Volume 6 , Issue 3 (September 1980) table of contents

Pages: 365 - 377

Year of Publication: 1980

ISSN:0098-3500

Author

Donald E. Amos

Numerical Mathematics Division, Sandia Laboratories, Albuquerque, NM

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 8, Downloads (12 Months): 40, Citation Count: 2

Additional Information:

references cited by index terms collaborative colleagues

Tools and Actions:	Request Permissions Review this Article Save this Article to a Binder Display Formats: BibTeX EndNote ACM Ref

DOI Bookmark:	Use this link to bookmark this Article: http://doi.acm.org/10.1145/355900.355908 What is a DOI?

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	ABRAMOWITZ, M., AND STEGUN, I.A. Handbook of Mathemattcal Functions (Appl. Math. Ser, 55), Nat. Bureau Standards, Washington, D.C., Dec 1965.
	2	Walter Gautschi, Algorithm 471: exponential integrals [S13], Communications of the ACM, v.16 n.12, p.761-763, Dec. 1973 [doi>10.1145/362552.362557]
	3	GAUTSCHI, W. An evaluation procedure for incomplete gamma functions. MRC Tech. Summary Rep. 1717, Math. Res. Ctr., Madison, Wls., Feb. 1977.
	4	GAUTSCHI, W Computational aspects of three-term recurrence relations. SIAM Rev. 9 (1967), 24-82.
	5	Walter Gautschi, Recursive Computation of Certain Integrals, Journal of the ACM (JACM), v.8 n.1, p.21-40, Jan. 1961 [doi>10.1145/321052.321054]
	6	OLvER, F W.J Numemcal solution of second-order hnear chfference equations. Nat. Bureau Standards J. Res , B Math, Math Phys 71B (1967), 111-129.
	7	0LVER, F.W.J, AND SOOKNE, D.J. Note on backward recurrence algorithms. Math. Comput. 26 (1972), 941-947.
	8	SLATER, L J. Confluent Hypergeometnc Functtons. Cambmdge Univ. Press, Cambridge, England, 1960.
	9	TEMME, N.M. Numerical evaluation of functions arising from transformations of formal series. J. Math. Anal Appl , 51 (1975), 678-694.
	10	TEMME, N M. On the numerical evaluation of the modified Bessel function of the thtrd kind. J. Comput Phys. 3 (1975), 324-337.

CITED BY 2

	Donald E. Amos, Algorithm 556: Exponential Integrals [S13], ACM Transactions on Mathematical Software (TOMS), v.6 n.3, p.420-428, Sept. 1980
	Frank E. Harris, Incomplete Bessel, generalized incomplete gamma, or leaky aquifer functions, Journal of Computational and Applied Mathematics, v.215 n.1, p.260-269, May, 2008

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Additional Classification:
D. Software
D.3 PROGRAMMING LANGUAGES
D.3.2 Language Classifications

Nouns: FORTRAN
D.3.3 Language Constructs and Features
Subjects: Procedures, functions, and subroutines

F. Theory of Computation
F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.1 Numerical Algorithms and Problems
Subjects: Number-theoretic computations (e.g., factoring, primality testing)
F.2.2 Nonnumerical Algorithms and Problems
Subjects: Geometrical problems and computations

General Terms:
Algorithms, Languages, Theory

Collaborative Colleagues:

Donald E. Amos: colleagues

Adobe Acrobat

QuickTime

Windows Media Player

Real Player