Several new quadrature formulas for polynomial integration in the triangle
We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the number of quadrature points $N$ be equal to the dimension of a lower dimensional polynomial space. Quadratur...
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| creator | Taylor, Mark A Wingate, Beth A Bos, Len P |
| description | We present several new quadrature formulas in the triangle for exact
integration of polynomials. The points were computed numerically with a
cardinal function algorithm which imposes that the number of quadrature points
$N$ be equal to the dimension of a lower dimensional polynomial space.
Quadrature forumulas are presented for up to degree $d=25$, all which have
positive weights and contain no points outside the triangle. Seven of these
quadrature formulas improve on previously known results. |
| doi_str_mv | 10.48550/arxiv.math/0501496 |
| format | Article |
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integration of polynomials. The points were computed numerically with a
cardinal function algorithm which imposes that the number of quadrature points
$N$ be equal to the dimension of a lower dimensional polynomial space.
Quadrature forumulas are presented for up to degree $d=25$, all which have
positive weights and contain no points outside the triangle. Seven of these
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integration of polynomials. The points were computed numerically with a
cardinal function algorithm which imposes that the number of quadrature points
$N$ be equal to the dimension of a lower dimensional polynomial space.
Quadrature forumulas are presented for up to degree $d=25$, all which have
positive weights and contain no points outside the triangle. Seven of these
quadrature formulas improve on previously known results.</description><subject>Mathematics - Numerical Analysis</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tuwjAURL3pooJ-QTfuBwTsxM8lQn0KqYuyj27ja7DkONQ4tPx9Q8tqRpqjkQ4h95wthJGSLSH_hNOih7JfMsm4sOqWvH3gCTNEmvCbfo3gMpQxI_VD7scIx0uhhyGe09CHCQup4G5iwpCmTsseackB0i7inNx4iEe8u-aMbJ8et-uXavP-_LpebSrQXFXWWCM6lNpjrRQDxnjdmVp5rhthNDr_CRJRcld7nDaNVgtloHPMOtWwZkYe_m__dNpDDj3kc3vRaq9azS-YQUqM</recordid><startdate>20050127</startdate><enddate>20050127</enddate><creator>Taylor, Mark A</creator><creator>Wingate, Beth A</creator><creator>Bos, Len P</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20050127</creationdate><title>Several new quadrature formulas for polynomial integration in the triangle</title><author>Taylor, Mark A ; Wingate, Beth A ; Bos, Len P</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a716-98984ce57fe2660a0012c826f173487edfba5ee51d2fe0127e97468acd09d6303</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>Mathematics - Numerical Analysis</topic><toplevel>online_resources</toplevel><creatorcontrib>Taylor, Mark A</creatorcontrib><creatorcontrib>Wingate, Beth A</creatorcontrib><creatorcontrib>Bos, Len P</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Taylor, Mark A</au><au>Wingate, Beth A</au><au>Bos, Len P</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Several new quadrature formulas for polynomial integration in the triangle</atitle><date>2005-01-27</date><risdate>2005</risdate><abstract>We present several new quadrature formulas in the triangle for exact
integration of polynomials. The points were computed numerically with a
cardinal function algorithm which imposes that the number of quadrature points
$N$ be equal to the dimension of a lower dimensional polynomial space.
Quadrature forumulas are presented for up to degree $d=25$, all which have
positive weights and contain no points outside the triangle. Seven of these
quadrature formulas improve on previously known results.</abstract><doi>10.48550/arxiv.math/0501496</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Numerical Analysis |
| title | Several new quadrature formulas for polynomial integration in the triangle |
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