The work of Philip Rabinowitz on numerical integration
type: Item
instance of: scholarly article
title: The work of Philip Rabinowitz on numerical integration
zbMATH Open document ID: 0840.65012
DOI: 10.1007/BF02141588
author: Walter Gautschi
published in: Numerical Algorithms
publication date: 1996-06-30T00:00:00Z
review text: This is a lecture presented at a conference in Tel Aviv honoring P. Rabinowitz on the occasion of his retirement. It summarizes Rabinowitz's contributions to numerical integration. The material is grouped in the following sections: 1. The age of SEAC. 2. Error estimates for analytic functions. 3. Ignoring or avoiding the singularity. 4. Product rules of integration. 5. Embedded quadrature rules. 6. Cauchy principal value integrals. 7. Multidimensional integration. 8. For the connoisseur. 9. Expository writings. The paper not only gives an account of Rabinowitz's work, it is a piece of the story of Numerical Analysis, written and commented by a master.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 41A80
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65-03
Mathematics Subject Classification ID: 01A60
zbMATH DE Number: 784454
zbMATH Keywords: error estimates
zbMATH Keywords: product rules
zbMATH Keywords: multidimensional integration
zbMATH Keywords: Cauchy principal value integrals
zbMATH Keywords: numerical integration
zbMATH Keywords: singularity
zbMATH Keywords: quadrature rules
reviewed by: Borislav D. Bojanov
MaRDI profile type: Publication
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