BIT Numerical Mathematics

, Volume 6, Issue 2, pp 117–128 | Cite as

Convergence acceleration by means of numerical quadrature

  • Sven-Åke Gustafson


By regarding a series as a Stieltjes integral to which classical numerical methods are applied, very accurate expressions for the sum are obtained. Convergence and stability are investigated in some cases of practical importance. When certain conditions are satisfied, realistic and strict error bounds for the sum can be found. Some generalizations are also indicated.


Computational Mathematic Practical Importance Error Bound Numerical Quadrature Accurate Expression 
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Copyright information

© BIT Foundations 1966

Authors and Affiliations

  • Sven-Åke Gustafson
    • 1
  1. 1.Royal Institute of TechnologyStockholmSweden

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