COMPLEX LOGARITHMS, CAUCHY PRINCIPAL VALUES, AND THE COMPLEX VARIABLEBOUNDARY-ELEMENT METHOD

Authors
WHITLEY RJ HROMADKA TV
Citation
Rj. Whitley et Tv. Hromadka, COMPLEX LOGARITHMS, CAUCHY PRINCIPAL VALUES, AND THE COMPLEX VARIABLEBOUNDARY-ELEMENT METHOD, Applied mathematical modelling, 18(8), 1994, pp. 423-428
Citations number
9
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics,Mechanics
Journal title
Applied mathematical modelling → ACNP
ISSN journal
0307904X
Volume
18
Issue
8
Year of publication
1994
Pages
423 - 428
Database
ISI
SICI code
0307-904X(1994)18:8<423:CLCPVA>2.0.ZU;2-T
Abstract
A derivation of the complex variable boundary element method (CVBEM) i s presented which explains, in detail, the properties of complex logar ithms that are important to the development of and which can cause pro blems in the numerical implementation of the CVBEM if not fully unders tood The derivation uses the Sokhotski-Plemelj formulas and the Cauchy principal value of the Cauchy integral.