On the use of Gauss quadrature in adaptive automatic integration schemes

DOI10.1007/BF01937489zbMath0545.65011OpenAlexW2050662175MaRDI QIDQ797256

Jarle Berntsen, Terje O. Espelid

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01937489

zbMATH Keywords

numerical experimentsGauss quadratureautomatic adaptive integrationKronrod's scheme

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Computer aspects of numerical algorithms (65Y99)

Related Items

On the construction of multi-dimensional embedded cubature formulae, A lower bound for the number of function evaluations in an error estimate for numerical integration, Stopping functionals for Gaussian quadrature formulas, Fast multilevel augmentation methods for nonlinear boundary value problems

Uses Software

• NAG
• nag

Cites Work

• On the automatic numerical evaluation of definite integrals
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