Optimal Quadrature Formulas for the Sobolev Space $$H^1$$ H 1

Author:

Zhang ShunORCID,Novak Erich

Funder

National Natural Science Foundation of China

DFG-Priority Program

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference13 articles.

1. Boltaev, N.D., Hayotov, A.R., Shadimetov, KhM: Construction of optimal quadrature formula for Fourier coefficients in Sobolev space $$L^{(m)}_2(0,1)$$ L 2 ( m ) ( 0 , 1 ) . Numer. Algorithms 74(2), 307–336 (2017)

2. Brass, H., Petras, K.: Quadrature Theory: The Theory of Numerical Integration on a Compact Interval, p. 363. AMS Mathematical Surveys and Monographs, Rhode Island (2011)

3. Ciarlet, P.G.: The finite element method for elliptic problems. Society for Industrial and Applied Mathematics, Philadelphia. Class. Appl. Math. 40, 1–511 (2002)

4. Huybrechs, D., Olver, S.: Highly oscillatory quadrature, Chapter 2 in: Highly Oscillatory Problems, London Math. Soc. Lecture Note Ser. 366, Cambridge, pp. 25–50 (2009)

5. Landau, H.J.: Necessary density conditions for sampling and interpolation of certain entire functions. Acta Math. 117(1), 37–52 (1967)

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