Summary
The idea of Gauss–Kronrod quadrature, in a germinal form, is traced back to an 1894 paper of R. Skutsch.
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References
Baillaud, B., Bourget, H.: Correspondance d’Hermite et de Stieltjes I, II, Gauthier-Villars, Paris, 1905
Kronrod, A.S.: Integration with control of accuracy (Russian), Dokl. Akad. Nauk SSSR 154, 283–286 (1964)
Kronrod, A.S. 1964. Nodes and weights for quadrature formulae. Sixteen-place tables (Russian), Izdat. Nauka, Moscow. [English translation in: Consultants Bureau, New York, 1965]
Monegato, Giovanni: An overview of results and questions related to Kronrod schemes. In: Numerische Integration, G. Hämmerlin (ed.), Internat. Ser. Numer. Math. Birkhäuser, Basel, 45, 231–240 (1979)
Skutsch, Rudolf: Ueber Formelpaare der mechanischen Quadratur. Arch. Math. Phys. 13(2), 78–83 (1894)