The numerical evaluation of principal value integrals | Zendy

L. M. Delves | Zendy

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The numerical evaluation of principal value integrals

Author(s) -

L. M. Delves

Publication year - 1968

Publication title -

the computer journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.319

H-Index - 64

eISSN - 1460-2067

pISSN - 0010-4620

DOI - 10.1093/comjnl/10.4.389

Subject(s) - principal (computer security) , principal value , value (mathematics) , numerical analysis , mathematics , gaussian , computer science , mathematical analysis , statistics , physics , quantum mechanics , operating system

We do not consider in this paper the cases q = a or q = b. Integrals such as (1) often arise for instance in scattering theory. It is possible to treat the singularity by deforming the path of the integration into the complex plane (see Hetherington and Schick, 1965; Phillips, 1966); we give here a number of simpler methods involving only real t. These include methods of Newton-Cotes and modified Gaussian type.

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