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Numerical results are presented to accuracies up to 64 decimal digits.\u0026lt;/p\u0026gt;","descriptionType":"Abstract"},{"description":"Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.","descriptionType":"Other"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://purr.purdue.edu/publications/1563/1","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":"2014-04-22T15:40:26.000Z","registered":"2014-04-22T15:40:27.000Z","published":"2014","updated":"2025-12-18T19:40:59.000Z"},"relationships":{"client":{"data":{"id":"purdue.purduelib","type":"clients"}},"provider":{"data":{"id":"purdue","type":"providers"}},"media":{"data":{"id":"10.4231/r7qj7f7v","type":"media"}},"references":{"data":[]},"citations":{"data":[{"id":"10.1007/s11075-008-9157-z","type":"dois"}]},"parts":{"d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