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Definite Quadrature Formulae of Order Three Based on the Compound Midpoint Rule

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11189))

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Abstract

A sequence of definite quadrature formulae of order three based on the compound midpoint rule is constructed. Their error constants are evaluated and simple a posteriori error estimates are derived.

Supported by the Sofia University Research Fund under Contract 80-10-139/2018.

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References

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Authors and Affiliations

  1. Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, 5, James Bourchier blvd., 1164, Sofia, Bulgaria

    Ana Avdzhieva, Vesselin Gushev & Geno Nikolov

Authors
  1. Ana Avdzhieva
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  2. Vesselin Gushev
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  3. Geno Nikolov
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Corresponding author

Correspondence to Geno Nikolov .

Editor information

Editors and Affiliations

  1. Sofia University “St. Kliment Ohridski”, Sofia, Bulgaria

    Geno Nikolov

  2. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Natalia Kolkovska

  3. Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir Georgiev

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Avdzhieva, A., Gushev, V., Nikolov, G. (2019). Definite Quadrature Formulae of Order Three Based on the Compound Midpoint Rule. In: Nikolov, G., Kolkovska, N., Georgiev, K. (eds) Numerical Methods and Applications. NMA 2018. Lecture Notes in Computer Science(), vol 11189. Springer, Cham. https://doi.org/10.1007/978-3-030-10692-8_25

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  • DOI: https://doi.org/10.1007/978-3-030-10692-8_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10691-1

  • Online ISBN: 978-3-030-10692-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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