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Volumn 13, Issue 2, 1997, Pages 235-258

Different Quality Indexes for Lattice Rules

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EID: 0041111132     PISSN: 0885064X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcom.1997.0443     Document Type: Article
Times cited : (9)

References (20)
  • 1
    • 0000358863 scopus 로고
    • Approximation by trigonometric polynomials in certain class of periodic functions of several variables
    • Babenko K. Approximation by trigonometric polynomials in certain class of periodic functions of several variables. Soviet Math. Dokl. 132:1960a;982-985.
    • (1960) Soviet Math. Dokl. , vol.132 , pp. 982-985
    • Babenko, K.1
  • 2
    • 0040214718 scopus 로고
    • Approximation of periodic functions of many variables by trigonometric polynomials
    • Babenko K. Approximation of periodic functions of many variables by trigonometric polynomials. Soviet Math. Dokl. 132:1960b;247-250.
    • (1960) Soviet Math. Dokl. , vol.132 , pp. 247-250
    • Babenko, K.1
  • 4
    • 0042936758 scopus 로고
    • A relation between cubature formulae of trigonometric degree and lattice rules
    • Basel: Birkhäuser. p. 13-24
    • Beckers M., Cools R. A relation between cubature formulae of trigonometric degree and lattice rules. Numerical Integration. 1993;Birkhäuser, Basel. p. 13-24.
    • (1993) Numerical Integration
    • Beckers, M.1    Cools, R.2
  • 5
    • 0030518012 scopus 로고    scopus 로고
    • Minimal cubature formulae of trigonometric degree
    • Cools R., Sloan I. Minimal cubature formulae of trigonometric degree. Math. Comp. 65:1996;1583-1600.
    • (1996) Math. Comp. , vol.65 , pp. 1583-1600
    • Cools, R.1    Sloan, I.2
  • 7
    • 0039575212 scopus 로고
    • Approximation of functions of several variables by their Fejér sums
    • Judin V. Approximation of functions of several variables by their Fejér sums. Math. Notes. 13:1973;817-828.
    • (1973) Math. Notes , vol.13 , pp. 817-828
    • Judin, V.1
  • 9
    • 0011598379 scopus 로고
    • On cubature formulas that are exact for trigonometric polynomials
    • Mysovskikh I. On cubature formulas that are exact for trigonometric polynomials. Dokl. Akad. Nauk SSSR. 296:1987;28-31.
    • (1987) Dokl. Akad. Nauk SSSR , vol.296 , pp. 28-31
    • Mysovskikh, I.1
  • 11
    • 0028430051 scopus 로고
    • Integration of nonperiodic functions of two variables by Fibonacci lattice rules
    • Niederreiter H., Sloan I. Integration of nonperiodic functions of two variables by Fibonacci lattice rules. J. Comput. Appl. Math. 51:1994;57-70.
    • (1994) J. Comput. Appl. Math. , vol.51 , pp. 57-70
    • Niederreiter, H.1    Sloan, I.2
  • 12
    • 0038982485 scopus 로고
    • Cubature formulae for the approximate integration of periodic functions
    • Noskov M. Cubature formulae for the approximate integration of periodic functions. Metody Vychisl. 14:1985;15-23.
    • (1985) Metody Vychisl. , vol.14 , pp. 15-23
    • Noskov, M.1
  • 13
    • 0040166652 scopus 로고
    • Formulas for the approximate integration of periodic functions
    • Noskov M. Formulas for the approximate integration of periodic functions. Metody Vychisl. 15:1988;19-22.
    • (1988) Metody Vychisl. , vol.15 , pp. 19-22
    • Noskov, M.1
  • 15
    • 0038982481 scopus 로고
    • Estimating the number of interpolation points for Gaussian-type cubature formulae
    • Reztsov A. Estimating the number of interpolation points for Gaussian-type cubature formulae. Zh. vychisl. Mat. mat. Fiz. 31:1991a;451-453.
    • (1991) Zh. Vychisl. Mat. Mat. Fiz. , vol.31 , pp. 451-453
    • Reztsov, A.1
  • 16
    • 0039575207 scopus 로고
    • Nonnegative trigonometric polynomials in many variables and cubature formulas of Gaussian type
    • Reztsov A. Nonnegative trigonometric polynomials in many variables and cubature formulas of Gaussian type. Math. Zametki. 50:1991b;69-74.
    • (1991) Math. Zametki , vol.50 , pp. 69-74
    • Reztsov, A.1
  • 17
    • 0023289278 scopus 로고
    • Lattice methods for multiple integration: Theory, error analysis and examples
    • Sloan I., Kachoyan P. Lattice methods for multiple integration: theory, error analysis and examples. SIAM J. Numer. Anal. 24:1987;116-128.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 116-128
    • Sloan, I.1    Kachoyan, P.2
  • 18
    • 0039575208 scopus 로고
    • Some bounds for trigonometric series with quasi-convex coefficients
    • Telyakovskii S. Some bounds for trigonometric series with quasi-convex coefficients. Math. Sb. (New Ser.). 63:1964;426-444.
    • (1964) Math. Sb. (New Ser.) , vol.63 , pp. 426-444
    • Telyakovskii, S.1
  • 19
    • 0039575213 scopus 로고
    • La méthode des "bons treillis" pour le calcul des intégrales multiples
    • S. Zaremba. New York: Academic Press
    • Zaremba S. La méthode des "bons treillis" pour le calcul des intégrales multiples. Zaremba S. Applications of Number Theory to Numerical Analysis. 1972;39-116 Academic Press, New York.
    • (1972) Applications of Number Theory to Numerical Analysis , pp. 39-116
    • Zaremba, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.