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Volumn 233, Issue 4, 2009, Pages 969-979

Trigonometric polynomial or exponential fitting approach?

Author keywords

Difference methods for derivatives; Numerov's rule; Simpson's rule

Indexed keywords

DIFFERENCE METHODS FOR DERIVATIVES; EXPONENTIAL FITTING; NUMEROV'S RULE; QUADRATURE RULES; SECOND ORDER DERIVATIVES; SECOND-ORDER DIFFERENTIAL EQUATION; SIMPSON; SIMPSON'S RULE; SPECIFIC PROBLEMS; TRIGONOMETRIC POLYNOMIAL;

EID: 70349728217     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.08.103     Document Type: Article
Times cited : (12)

References (27)
  • 1
    • 0000132696 scopus 로고
    • Numerical integration of ordinary differential equations based on trigonometric polynomials
    • Gautschi W. Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math. 3 (1961) 381-397
    • (1961) Numer. Math. , vol.3 , pp. 381-397
    • Gautschi, W.1
  • 2
  • 3
    • 54249089923 scopus 로고    scopus 로고
    • Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type
    • Calvo M., Franco J.M., Montijano J.I., and Rández L. Sixth-order symmetric and symplectic exponentially fitted Runge-Kutta methods of the Gauss type. J. Comput. Appl. Math. 223 (2009) 387-398
    • (2009) J. Comput. Appl. Math. , vol.223 , pp. 387-398
    • Calvo, M.1    Franco, J.M.2    Montijano, J.I.3    Rández, L.4
  • 4
    • 33748431258 scopus 로고    scopus 로고
    • Analysis of trogonometric implicit Runge-Kutta methods
    • Si Nguyen H., Sidje R.B., and Cong N.H. Analysis of trogonometric implicit Runge-Kutta methods. J. Comput. Appl. Math. 198 (2007) 187-207
    • (2007) J. Comput. Appl. Math. , vol.198 , pp. 187-207
    • Si Nguyen, H.1    Sidje, R.B.2    Cong, N.H.3
  • 8
    • 0023827019 scopus 로고
    • A three-point formula for numerical quadrature of oscillatory integral with variable frequency
    • Ehrenmark U.T. A three-point formula for numerical quadrature of oscillatory integral 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
  • 9
    • 0035360927 scopus 로고    scopus 로고
    • A new quadrature rule based on a generalized mixed interpolation formula of exponential type
    • Hamsapriye. A new quadrature rule based on a generalized mixed interpolation formula of exponential type. J. Comput. Appl. Math. 131 (2001) 65-88
    • (2001) J. Comput. Appl. Math. , vol.131 , pp. 65-88
    • Hamsapriye1
  • 10
    • 0001066401 scopus 로고
    • On a class of modified Newton-Cotes quadrature formulae based upon mixed-type interpolation
    • Vanden Berghe G., De Meyer H., and Vanthournout J. 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
    • Vanden Berghe, G.1    De Meyer, H.2    Vanthournout, J.3
  • 11
    • 0005239563 scopus 로고
    • A modified Numerov integration method for second order periodic initial-value problems
    • Vanden Berghe G., De Meyer H., and Vanthournout J. A modified Numerov integration method for second order periodic initial-value problems. Internat. J. Comput. Math. 37 (1990) 233-242
    • (1990) Internat. J. Comput. Math. , vol.37 , pp. 233-242
    • Vanden Berghe, G.1    De Meyer, H.2    Vanthournout, J.3
  • 12
    • 0003215766 scopus 로고
    • A modified Numerov method for higher Sturm-Liouville eigenvalues
    • Vanden Berghe G., and De Meyer H. A modified Numerov method for higher Sturm-Liouville eigenvalues. Internat. J. Comput. Math. 37 (1990) 63-77
    • (1990) Internat. J. Comput. Math. , vol.37 , pp. 63-77
    • Vanden Berghe, G.1    De Meyer, H.2
  • 13
    • 0000985559 scopus 로고
    • Accurate computation of higher Sturm-Liouville eigenvalues
    • Vanden Berghe G., and De Meyer H. Accurate computation of higher Sturm-Liouville eigenvalues. Numer. Math. 59 (1991) 243-254
    • (1991) Numer. Math. , vol.59 , pp. 243-254
    • Vanden Berghe, G.1    De Meyer, H.2
  • 14
    • 38249003451 scopus 로고
    • Numerical solution of Fredholm equations based on mixed interpolation
    • Vanden Berghe G., Bocher P., and De Meyer H. Numerical solution of Fredholm equations based on mixed interpolation. Appl. Numer. Math. 13 (1993) 15-22
    • (1993) Appl. Numer. Math. , vol.13 , pp. 15-22
    • Vanden Berghe, G.1    Bocher, P.2    De Meyer, H.3
  • 15
    • 0025624612 scopus 로고
    • Families of backward differentation methods based on a new type of mixed interpolation
    • Vanthournout J., Vanden Berghe G., and De Meyer H. Families of backward differentation methods based on a new type of mixed interpolation. Comput. Math. Appl. 20 (1990) 19-30
    • (1990) Comput. Math. Appl. , vol.20 , pp. 19-30
    • Vanthournout, J.1    Vanden Berghe, G.2    De Meyer, H.3
  • 16
    • 0005703792 scopus 로고    scopus 로고
    • A functional fitting Runge-Kutta method with variable coefficients
    • Ozawa K. A functional fitting Runge-Kutta method with variable coefficients. Japan J. Ind. Appl. Math. 18 (2001) 107-130
    • (2001) Japan J. Ind. Appl. Math. , vol.18 , pp. 107-130
    • Ozawa, K.1
  • 17
    • 33751089217 scopus 로고    scopus 로고
    • Exponential fitting
    • Kluwer Publishing Co., Dortrecht, Boston, London
    • Ixaru L.Gr., and Vanden Berghe G. Exponential fitting. Mathematics and its Applications vol. 568 (2004), Kluwer Publishing Co., Dortrecht, Boston, London
    • (2004) Mathematics and its Applications , vol.568
    • Ixaru, L.Gr.1    Vanden Berghe, G.2
  • 18
    • 0031237961 scopus 로고    scopus 로고
    • Operations on oscillatory functions
    • Ixaru L.Gr. Operations on oscillatory functions. Comput. Phys. Commun. 105 (1997) 1-19
    • (1997) Comput. Phys. Commun. , vol.105 , pp. 1-19
    • Ixaru, L.Gr.1
  • 19
    • 0036502977 scopus 로고    scopus 로고
    • Frequency evaluation in exponential fitting multistep algorithms for ODEs
    • Ixaru L.Gr., Vanden Berghe G., and De Meyer H. Frequency evaluation in exponential fitting multistep algorithms for ODEs. J. Comput. Appl. Math. 140 (2002) 423-434
    • (2002) J. Comput. Appl. Math. , vol.140 , pp. 423-434
    • Ixaru, L.Gr.1    Vanden Berghe, G.2    De Meyer, H.3
  • 20
    • 0037290595 scopus 로고    scopus 로고
    • Exponentially fitted variable two-step BDF algorithm for first order ODEs
    • Ixaru L.Gr., Vanden Berghe G., and De Meyer H. Exponentially fitted variable two-step BDF algorithm for first order ODEs. Comput. Phys. Comm. 150 (2003) 116-128
    • (2003) Comput. Phys. Comm. , vol.150 , pp. 116-128
    • Ixaru, L.Gr.1    Vanden Berghe, G.2    De Meyer, H.3
  • 21
    • 14844323139 scopus 로고    scopus 로고
    • Exponentially fitted quadrature rules of Gauss type for oscillatory integrands
    • Van Daele M., Vanden Berghe G., and Vande Vyver H. Exponentially fitted quadrature rules of Gauss type for oscillatory integrands. Appl. Numer. Math. 53 (2005) 509-526
    • (2005) Appl. Numer. Math. , vol.53 , pp. 509-526
    • Van Daele, M.1    Vanden Berghe, G.2    Vande Vyver, H.3
  • 24
    • 0034509216 scopus 로고    scopus 로고
    • Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods
    • Vanden Berghe G., Ixaru L.Gr., and De Meyer H. Frequency determination and step-length control for exponentially-fitted Runge-Kutta methods. J. Comput. Appl. Math. 125 (2000) 107-115
    • (2000) J. Comput. Appl. Math. , vol.125 , pp. 107-115
    • Vanden Berghe, G.1    Ixaru, L.Gr.2    De Meyer, H.3
  • 25
    • 0035500485 scopus 로고    scopus 로고
    • Optimal implicit exponentially-fitted Runge-Kutta methods
    • Vanden Berghe G., Ixaru L.Gr., and Van Daele M. Optimal implicit exponentially-fitted Runge-Kutta methods. Comput. Phys. Comm. 140 (2001) 346-357
    • (2001) Comput. Phys. Comm. , vol.140 , pp. 346-357
    • Vanden Berghe, G.1    Ixaru, L.Gr.2    Van Daele, M.3
  • 27
    • 0001069053 scopus 로고
    • On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems
    • Paine J.W., de Hoog F.R., and Anderssen R.S. On the correction of finite difference eigenvalue approximations for Sturm-Liouville problems. Computing 26 (1981) 123-139
    • (1981) Computing , vol.26 , pp. 123-139
    • Paine, J.W.1    de Hoog, F.R.2    Anderssen, R.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.