A fully numerical method based on double exponential formulas for strongly singular volume integrals

Autor:	Oguz Demir, Gokhun Selcuk, C. Duygu Ozturk
Rok vydání:	2016
Předmět:	symbols.namesake Singular solution Numerical analysis Mathematical analysis Double exponential function Taylor series symbols Singular integral Volume integral Mathematics Second derivative Quadrature (mathematics)
Zdroj:	2016 USNC-URSI Radio Science Meeting.
DOI:	10.1109/usnc-ursi.2016.7588496
Popis:	In this study we utilize quadrature rules based on double exponential formulas to evaluate strongly singular volume integrals. First it is shown numerically that double exponential formulas generate efficient quadrature rules for weakly singular volume integrals. Then, the strongly singular volume integrals are calculated by evaluating the second derivative of the weakly singular integral numerically. By using some test integrals it is shown that accurate results can be obtained by the proposed procedure.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8618be44436e02b26c3a19eb22bfe2d0 https://doi.org/10.1109/usnc-ursi.2016.7588496 Zobrazit plný text záznamu