메뉴 건너뛰기




Volumn 75, Issue 1, 1996, Pages 171-195

On the error and its control in a two-parameter generalised Newton-Cotes rule

Author keywords

Boole's rule; Lagrange's identity; Mixed interpolation; Newton Cotes quadrature; Peano kernel

Indexed keywords

INTERPOLATION; LAGRANGE MULTIPLIERS; OPTIMIZATION;

EID: 0043225106     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(96)00085-4     Document Type: Article
Times cited : (3)

References (15)
  • 1
    • 0041556401 scopus 로고    scopus 로고
    • A parallel iterated correction mechanism for the numerical solution of Volterra equations
    • to be published
    • P. Bocher, H. De Meyer, V. Fack and G. Vanden Berghe, A parallel iterated correction mechanism for the numerical solution of Volterra equations, APNUM, to be published.
    • APNUM
    • Bocher, P.1    De Meyer, H.2    Fack, V.3    Berghe, G.V.4
  • 3
    • 38249017771 scopus 로고
    • On the error estimation for a mixed type of interpolation
    • H. De Meyer, J. Vanthournout and G. Vanden Berghe, On the error estimation for a mixed type of interpolation, J. Comput. Appl. Math. 32 (1990) 407-415.
    • (1990) J. Comput. Appl. Math. , vol.32 , pp. 407-415
    • De Meyer, H.1    Vanthournout, J.2    Berghe, G.V.3
  • 4
    • 0023827019 scopus 로고
    • A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
    • U.T. Ehrenmark, A three-point formula for numerical quadrature of oscillatory integrals with variable frequency, J. Comput. Appl. Math. 21 (1988) 87-99.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 87-99
    • Ehrenmark, U.T.1
  • 6
    • 0028086965 scopus 로고
    • On computing uniformly valid approximations for viscous waves on a plane beach
    • U.T. Ehrenmark, On computing uniformly valid approximations for viscous waves on a plane beach, J. Comput. Appl. Math. 50 (1994) 263-281.
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 263-281
    • Ehrenmark, U.T.1
  • 10
    • 38249002946 scopus 로고
    • On the error of parameter-dependent compound quadrature formulas
    • P. Köhler, On the error of parameter-dependent compound quadrature formulas, J. Comput. Appl. Math. 47 (1993) 47-60.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 47-60
    • Köhler, P.1
  • 11
    • 0001401038 scopus 로고
    • Exponential-fitting methods for the numerical solution of the Schrodinger equation
    • A. Raptis and A.C. Allison, Exponential-fitting methods for the numerical solution of the Schrodinger equation, J. Comput. Phys. 6 (1970) 378-391.
    • (1970) J. Comput. Phys. , vol.6 , pp. 378-391
    • Raptis, A.1    Allison, A.C.2
  • 13
    • 0002846884 scopus 로고
    • Modified Newton-Cotes Formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies
    • M. Van Daele, H. De Meyer and G. Vanden Berghe, Modified Newton-Cotes Formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies, Internat. J. Comput. Math. 42 (1992) 83-97.
    • (1992) Internat. J. Comput. Math. , vol.42 , pp. 83-97
    • Van Daele, M.1    De Meyer, H.2    Berghe, G.V.3
  • 14
    • 0001066401 scopus 로고
    • On a class of modified Newton-Cotes quadrature formulae based upon mixed-type interpolation
    • G. Vanden Berghe, H. De Meyer and J. Vanthournout, On a class of modified Newton-Cotes quadrature formulae based upon mixed-type interpolation, J. Comput. Appl. Math. 31 (1990) 331-349.
    • (1990) J. Comput. Appl. Math. , vol.31 , pp. 331-349
    • Berghe, G.V.1    De Meyer, H.2    Vanthournout, J.3
  • 15
    • 0028493829 scopus 로고
    • A finite-element estimate with trigonometric hat-functions for Sturm-Liouville eigenvalues
    • G. Vanden Berghe and H. De Meyer, A finite-element estimate with trigonometric hat-functions for Sturm-Liouville eigenvalues, J. Comput. Appl. Math. 53 (1994) 389-396.
    • (1994) J. Comput. Appl. Math. , vol.53 , pp. 389-396
    • Berghe, G.V.1    De Meyer, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.