Keywords
- Spherical Harmonic
- Conformal Transformation
- Product Formula
- Interpolation Formula
- Cubature Formula
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References
ALBRECHT, J., L. COLLATZ: Zur numerischen Auswertung mehrdimensionaler Integrale. Z. Angew. Math. Mech. 38, 1958, 1–15.
KRYLOV, V. I.: Approximate calculation of integrals. Macmillan, New York, 1962.
MCLAREN, A. D.: Optimal numerical integration on a sphere. Math. Comp. 17, 1963, 362–383.
MÜLLER, C.: Spherical harmonics. Lecture Notes in Math. 17. Springer, Berlin, Heidelberg, New York, 1966.
SHAPIRO, H. S.: Topics in approximation theory. Lecture Notes in Math. 187. Springer, Berlin, Heidelberg, New York, 1966.
STROUD, A. H., KWAN-WEI CHEN, PING-LEI WANG and ZUNKWANG MAO: Some second and third degree harmonic interpolation formulas. SIAM J. Numer. Anal. 8, 1971, 681–692.
STROUD, A. H.: Some seventh degree integration formulas for symmetric regions. SIAM J. Numer. Anal. 4, 1967, 37–44.
STROUD, A. H.: A fifth degree integration formula for the n-simplex. SIAM J. Numer. Anal. 6, 1969, 90–98.
STROUD, A. H.: Approximate calculation of multiple integrals. Prentice Hall, Englewood Cliffs, 1971.
STROUD, A. H.: Some cubature formulas for the surface of the n-sphere. SIAM J. Numer. Anal. 10, 1973, 559–569.
SZEGÖ, G.: Orthogonal polynomials. Amer. Math. Soc. Coll. Publ. 23, Providence, 1959.
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© 1977 Springer-Verlag Berlin · Heidelberg
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Schmid, H.J. (1977). Interpolation of harmonic functions. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086578
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DOI: https://doi.org/10.1007/BFb0086578
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