skip to content
The numerical solution of integral equations of the second kind Preview this item
ClosePreview this item
Checking...

The numerical solution of integral equations of the second kind

Author: Kendall E Atkinson
Publisher: Cambridge ; New York : Cambridge University Press, 1997.
Series: Cambridge monographs on applied and computational mathematics, 4.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection, and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kendall E Atkinson
ISBN: 0521583918 9780521583916
OCLC Number: 35637928
Description: xvi, 552 pages : illustrations ; 24 cm.
Contents: Brief discussion of integral equations --
Degenerate kernel methods --
Projection methods --
Nyström method --
Solving multivariable integral equations --
Iteration methods --
Boundary integral equations on a smooth planar boundary --
Boundary integral equations on a piecewise smooth planar boundary --
Boundary integral equations in three dimensions.
Series Title: Cambridge monographs on applied and computational mathematics, 4.
Responsibility: Kendall E. Atkinson.
More information:

Abstract:

This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection, and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area.

The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretized BIE are also discussed. Each chapter concludes with a discussion of the literature, and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/35637928> # The numerical solution of integral equations of the second kind
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "35637928" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/enk> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/41128582#Place/cambridge> ; # Cambridge
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://experiment.worldcat.org/entity/work/data/41128582#Topic/numerieke_methoden> ; # Numerieke methoden
   schema:about <http://id.loc.gov/authorities/subjects/sh85067090> ; # Integral equations--Numerical solutions
   schema:about <http://experiment.worldcat.org/entity/work/data/41128582#Topic/equations_integrales_solutions_numeriques> ; # Équations intégrales--Solutions numériques
   schema:about <http://experiment.worldcat.org/entity/work/data/41128582#Topic/numerisches_verfahren> ; # Numerisches Verfahren
   schema:about <http://id.worldcat.org/fast/975509> ; # Integral equations--Numerical solutions
   schema:about <http://experiment.worldcat.org/entity/work/data/41128582#Topic/integralgleichung> ; # Integralgleichung
   schema:about <http://dewey.info/class/515.45/e21/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/41128582#Topic/integraalvergelijkingen> ; # Integraalvergelijkingen
   schema:bookFormat bgn:PrintBook ;
   schema:creator <http://experiment.worldcat.org/entity/work/data/41128582#Person/atkinson_kendall_e> ; # Kendall E. Atkinson
   schema:datePublished "1997" ;
   schema:description "The final chapters focus on the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation, in both two and three dimensions. Two chapters are devoted to planar BIE problems, which include both existing methods and remaining questions. Practical problems for BIE such as the set up and solution of the discretized BIE are also discussed. Each chapter concludes with a discussion of the literature, and a large bibliography serves as an extended resource for students and researchers needing more information on solving particular integral equations."@en ;
   schema:description "This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection, and Nystrom methods. Additional discussions of multivariable integral equations and iteration methods update the reader on the present state of the art in this area."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/41128582> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/41128582#Series/cambridge_monographs_on_applied_and_computational_mathematics> ; # Cambridge monographs on applied and computational mathematics ;
   schema:name "The numerical solution of integral equations of the second kind"@en ;
   schema:productID "35637928" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/35637928#PublicationEvent/cambridge_new_york_cambridge_university_press_1997> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/41128582#Agent/cambridge_university_press> ; # Cambridge University Press
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=007756445&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://catdir.loc.gov/catdir/toc/cam024/96045961.html> ;
   schema:workExample <http://worldcat.org/isbn/9780521583916> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GB9753597> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/35637928> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Agent/cambridge_university_press> # Cambridge University Press
    a bgn:Agent ;
   schema:name "Cambridge University Press" ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Person/atkinson_kendall_e> # Kendall E. Atkinson
    a schema:Person ;
   schema:familyName "Atkinson" ;
   schema:givenName "Kendall E." ;
   schema:name "Kendall E. Atkinson" ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Series/cambridge_monographs_on_applied_and_computational_mathematics> # Cambridge monographs on applied and computational mathematics ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/35637928> ; # The numerical solution of integral equations of the second kind
   schema:name "Cambridge monographs on applied and computational mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Topic/equations_integrales_solutions_numeriques> # Équations intégrales--Solutions numériques
    a schema:Intangible ;
   schema:name "Équations intégrales--Solutions numériques"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Topic/integraalvergelijkingen> # Integraalvergelijkingen
    a schema:Intangible ;
   schema:name "Integraalvergelijkingen"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Topic/numerieke_methoden> # Numerieke methoden
    a schema:Intangible ;
   schema:name "Numerieke methoden"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/41128582#Topic/numerisches_verfahren> # Numerisches Verfahren
    a schema:Intangible ;
   schema:name "Numerisches Verfahren"@en ;
    .

<http://id.loc.gov/authorities/subjects/sh85067090> # Integral equations--Numerical solutions
    a schema:Intangible ;
   schema:name "Integral equations--Numerical solutions"@en ;
    .

<http://id.worldcat.org/fast/975509> # Integral equations--Numerical solutions
    a schema:Intangible ;
   schema:name "Integral equations--Numerical solutions"@en ;
    .

<http://worldcat.org/isbn/9780521583916>
    a schema:ProductModel ;
   schema:isbn "0521583918" ;
   schema:isbn "9780521583916" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.