<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Berrut, Jean-Paul</dc:creator>
  <dc:date>2006</dc:date>
  <dc:description xmlns:ns0="xml" ns0:lang="en">The present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps. On the way we give a construction of the Bernoulli polynomials tailored to the proof of the formula and we show how extra jumps may lead to a smaller quadrature error.</dc:description>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>https://folia.unifr.ch/global/documents/300205</dc:identifier>
  <dc:identifier>https://folia.unifr.ch/documents/300205/files/berrut_cie.pdf</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2005.02.015</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>License undefined</dc:rights>
  <dc:source>Journal of Computational and Applied Mathematics. - 2006, vol. 189, no. 1-2, p. 375-386</dc:source>
  <dc:subject xmlns:ns1="xml" ns1:lang="en">Definite integral</dc:subject>
  <dc:subject xmlns:ns2="xml" ns2:lang="en">Riemann sum</dc:subject>
  <dc:subject xmlns:ns3="xml" ns3:lang="en">Trapezoidal rule</dc:subject>
  <dc:subject xmlns:ns4="xml" ns4:lang="en">Error formula</dc:subject>
  <dc:subject>info:eu-repo/classification/udc/51</dc:subject>
  <dc:title xmlns:ns5="xml" ns5:lang="en">A circular interpretation of the Euler–Maclaurin formula</dc:title>
  <dc:type>http://purl.org/coar/resource_type/c_6501</dc:type>
</oai_dc:dc>