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Generalized Gauss–Radau and Gauss–Lobatto formulas with Jacobi weight functions

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Abstract

We compute semi-explicitly or recursively the weights of the generalized Gauss–Radau and Gauss–Lobatto quadratures with Jacobi weight functions.

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Acknowledgments

G. Petrova would like to thank Matthew Hielsberg for the help in carrying the numerical simulations and the anonymous referees for carefully reading the paper.

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Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA

    Guergana Petrova

Authors
  1. Guergana Petrova
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Correspondence to Guergana Petrova.

Additional information

Communicated by Lothar Reichel.

G. Petrova was supported by Office of Naval Research Contract ONR N00014-11-1-0712 and the NSF Grant DMS-1521067.

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Petrova, G. Generalized Gauss–Radau and Gauss–Lobatto formulas with Jacobi weight functions. Bit Numer Math 57, 191–206 (2017). https://doi.org/10.1007/s10543-016-0627-8

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  • DOI: https://doi.org/10.1007/s10543-016-0627-8

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