{"data":{"id":"10.4231/r7g15xsq","type":"dois","attributes":{"doi":"10.4231/r7g15xsq","prefix":"10.4231","suffix":"r7g15xsq","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Gautschi, Walter","givenName":"Walter","familyName":"Gautschi","affiliation":["Purdue University"],"nameIdentifiers":[{"schemeUri":"https://orcid.org","nameIdentifier":"https://orcid.org/0000-0001-9184-8899","nameIdentifierScheme":"ORCID"}]}],"titles":[{"title":"HOGGRL: High-order generalized Gauss-Radau and Gauss-Lobatto Formulae for Jacobi and Laguerre weight functions"}],"publisher":"Purdue University Research Repository","container":{},"publicationYear":2014,"subjects":[{"subject":"Computer Science"},{"subject":"Orthogonal polynomials"},{"subject":"High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae"},{"subject":"Laguerre weight functions"},{"subject":"Jacobi weight functions"},{"subject":"Matlab"},{"subject":"Software source code"},{"subject":"Mathematics"},{"subject":"FOS: Mathematics","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Walter Gautschi Archives"}],"contributors":[],"dates":[{"date":"2014-04-22","dateType":"Available"},{"date":"2014-04-22","dateType":"Submitted"},{"date":"2014-04-23","dateType":"Accepted"},{"date":"2014","dateType":"Issued"}],"language":"en","types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Datasets","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsReferencedBy","relatedIdentifier":"10.1007/s11075-008-9247-y","resourceTypeGeneral":"JournalArticle","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":["5 files","5 KB"],"formats":["text/plain"],"version":"1.0","rightsList":[{"rights":"Creative Commons Zero v1.0 Universal","rightsUri":"https://creativecommons.org/publicdomain/zero/1.0/legalcode","schemeUri":"https://spdx.org/licenses/","rightsIdentifier":"cc0-1.0","rightsIdentifierScheme":"SPDX"}],"descriptions":[{"description":"\u0026lt;p\u0026gt;The generation of generalized Gauss\u0026amp;ndash;Radau and Gauss\u0026amp;ndash;Lobatto quadrature formulae by methods developed by us earlier breaks down in the case of Jacobi and Laguerre measures when the order of the quadrature rules becomes very large. The reason for this is underflow resp. overflow of the respective monic orthogonal polynomials.\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"Matlab source codes and files that compute the high-order Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1574/1","contentUrl":null,"metadataVersion":8,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"mds","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":0,"citationCount":1,"citationsOverTime":[{"year":"2025","total":1}],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2014-04-22T15:43:09.000Z","registered":"2014-04-22T15:43:10.000Z","published":"2014","updated":"2025-12-18T19:41:05.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7g15xsq","type":"media"}},"references":{"data":[]},"citations":{"data":[{"id":"10.1007/s11075-008-9247-y","type":"dois"}]},"parts":{"data":[]},"partOf":{"data":[]}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