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Toward better numerical integration Immerzeel, Gerrit
Abstract
Romberg's quadrature is investigated with special emphasis on its use in automatic integration. Section 1 reproduces many of the facts known about Romberg's method and investigates the selection of stepsize. Section 2 discusses the integration of singular integrands, with emphasis on detecting algebraic endpoint singularities and the reliability of methods used for handling them. Section 3 looks at CADRE, the first automatic integration routine published based on the adaptive use of Romberg's method. It is adapted for use on the IBM 360 and is compared to SQUANK, an adaptive Simpson routine already available in the U.B.C. program library.
Item Metadata
| Title |
Toward better numerical integration
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1972
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| Description |
Romberg's quadrature is investigated with special emphasis on
its use in automatic integration.
Section 1 reproduces many of the facts known about Romberg's method and investigates the selection of stepsize.
Section 2 discusses the integration of singular integrands, with emphasis on detecting algebraic endpoint singularities and the reliability of methods used for handling them.
Section 3 looks at CADRE, the first automatic integration routine published based on the adaptive use of Romberg's method. It is adapted for use on the IBM 360 and is compared to SQUANK, an adaptive Simpson routine already available in the U.B.C. program library.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-04-04
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0052010
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.