Keywords
- Edge Length
- Error Bound
- Linear Problem
- Quadrature Formula
- Sobolev Class
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1.3.13 Notes and references
J. F. Traub, H. Woźniakowski (1980): A general theory of optimal algorithms. Academic Press, New York.
F. Archetti, G.P. Szegö (1980): Global optimization algorithms. In: Nonlinear optimization (L.C.W. Dixon, E. Spedicato, G.P. Szegö, eds.), Birkhäuser Verlag, Boston, pp. 429–469.
A. G. Sukharev (1981a): The global extremum and methods of finding it. (Russian). In: Mathematical methods in operations research, Izdvo MGU, Moscow.
A. S. Nemirovsky, D. B. Yudin (1983): Problem complexity and method efficiency on optimization. John Wiley and Sons, Chicester.
S. Haber (1970): Numerical evaluation of multiple integrals. SIAM Reviews 12, 481–526.
A. H. Stroud (1971): Approximate calculation of multiple integrals. Prentice-Hall, New Jersey.
H. Braß (1977): Quadraturverfahren. Vandenhoeck und Ruprecht, Göttingen.
H. Engels (1980): Numerical quadrature and cubature. Academic Press, London.
P.J. Davis, P. Rabinowitz (1984): Methods of numerical integration. (Second edition). Academic Press, London.
K. Yu. Osipenko (1972): Optimal interpolation of analytic functions. Math. Notes 12, 712–719.
K. Yu. Osipenko (1976): Best approximation of analytic functions from information about their values at a finite number of points. Math. Notes 19, 17–23.
V. N. Temlyakov (1985): On the approximate reconstruction of periodic functions of several variables. Soviet Math. Dokl. 31(1), 246–249.
C. A. Micchelli, T. J. Rivlin (1985): Lectures on optimal recovery. Lecture Notes in Math. 1129, Springer.
M. A. Kon, E. Novak (1988): On the adaption problem. Preprint.
E. Novak (1983): Zur unteren Fehlergrenze von Quadraturverfahren. Doctoral thesis, Erlangen.
E. Novak (1987a): A decomposition of measures in euclidean space yielding error bounds for quadrature formulas. Math. Z. 196, 407–413.
M.Š. Birman, M.Z. Solomjak (1967): Piecewise-polynomial approximations of functions of the class W p/a . Math. USSR — Sbornik 2, 295–317.
M.Š. Birman, M.Z. Solomjak (1980): Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. AMS Translations 2, 114.
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Novak, E. (1988). Deterministic error bounds. In: Deterministic and Stochastic Error Bounds in Numerical Analysis. Lecture Notes in Mathematics, vol 1349. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0079794
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