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Numerical method of singular problems on singular integrals

Technical Report:

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Abstract

As first part on the numerical research of singular problems, a numerical method is proposed for singular integrals. It is shown that the procedure is quite powerful for solving physics calculation with singularity such as the plasma dispersion function. Useful quadrature formulas for some class of the singular integrals are derived. In general, integrals with more complex singularities can be dealt by this method easily.
Authors:
Huaiguo, Zhao; Zongze, Mou [1] 
  1. Southwestern Inst. of Phys., Sichuan (China)
Publication Date:
Feb 01, 1992
Product Type:
Technical Report
Report Number:
CNIC-00582; SIP-0047.
Reference Number:
SCA: 700300; 990200; PA: AIX-24:009262; SN: 93000933656
Resource Relation:
Other Information: PBD: Feb 1992
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; INTEGRAL EQUATIONS; NUMERICAL SOLUTION; SINGULARITY; PLASMA; DISPERSION RELATIONS; BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; INTEGRALS; QUADRATURES; 700300; 990200; PLASMA PHYSICS AND FUSION RESEARCH; MATHEMATICS AND COMPUTERS
OSTI ID:
10119829
Research Organizations:
China Nuclear Information Centre, Beijing, BJ (China)
Country of Origin:
China
Language:
English
Other Identifying Numbers:
Other: ON: DE93613654; ISBN 7-5022-0633-7; TRN: CN9201771009262
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[12] p.
Announcement Date:
Jun 30, 2005

Technical Report:

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Citation Formats

Huaiguo, Zhao, and Zongze, Mou. Numerical method of singular problems on singular integrals. China: N. p., 1992. Web.
Huaiguo, Zhao, & Zongze, Mou. Numerical method of singular problems on singular integrals. China.
Huaiguo, Zhao, and Zongze, Mou. 1992. "Numerical method of singular problems on singular integrals." China.
@misc{etde_10119829,
title = {Numerical method of singular problems on singular integrals}
 author = {Huaiguo, Zhao, and Zongze, Mou}
 abstractNote = {As first part on the numerical research of singular problems, a numerical method is proposed for singular integrals. It is shown that the procedure is quite powerful for solving physics calculation with singularity such as the plasma dispersion function. Useful quadrature formulas for some class of the singular integrals are derived. In general, integrals with more complex singularities can be dealt by this method easily.}
 place = {China}
 year = {1992}
 month = {Feb}
 }