메뉴 건너뛰기




Volumn 198, Issue 1, 2007, Pages 187-207

Analysis of trigonometric implicit Runge-Kutta methods

Author keywords

Implicit RK; Oscillatory ODEs; Trigonometric collocation; Variable coefficients; Variable stepsize

Indexed keywords

ALGEBRA; COMPUTATIONAL METHODS; FUNCTION EVALUATION; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING;

EID: 33748431258     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.12.006     Document Type: Article
Times cited : (35)

References (24)
  • 2
    • 0006178478 scopus 로고
    • Stiff ODE solvers: a review of current and coming attractions
    • Byrne G.D., and Hindmarsh A.C. Stiff ODE solvers: a review of current and coming attractions. J. Comp. Phys. 70 (1987) 1-62
    • (1987) J. Comp. Phys. , vol.70 , pp. 1-62
    • Byrne, G.D.1    Hindmarsh, A.C.2
  • 6
    • 0042392305 scopus 로고
    • A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers
    • Cong N.H. A-stable diagonally implicit Runge-Kutta-Nyström methods for parallel computers. Numer. Algorithms 4 (1993) 263-281
    • (1993) Numer. Algorithms , vol.4 , pp. 263-281
    • Cong, N.H.1
  • 7
    • 33748431280 scopus 로고    scopus 로고
    • Ch. Engstler, A MATLAB port of the RADAU5 FORTRAN code, in: E. Hairer, G. Wanner (Eds.), http://na.uni-tuebingen.de/na/software/radau5/radau5.shtml.
  • 8
    • 0037114704 scopus 로고    scopus 로고
    • An embedded pair of exponentially fitted explicit Runge-Kutta methods
    • Franco J.M. An embedded pair of exponentially fitted explicit Runge-Kutta methods. J. Comput. Appl. Math. 149 (2002) 407-414
    • (2002) J. Comput. Appl. Math. , vol.149 , pp. 407-414
    • Franco, J.M.1
  • 9
    • 2342445011 scopus 로고    scopus 로고
    • Exponentially fitted explicit Runge-Kutta-Nyström methods
    • Franco J.M. Exponentially fitted explicit Runge-Kutta-Nyström methods. J. Comput. Appl. Math. 167 (2004) 1-19
    • (2004) J. Comput. Appl. Math. , vol.167 , pp. 1-19
    • Franco, J.M.1
  • 10
    • 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
  • 13
    • 0000657979 scopus 로고
    • ″ = f (x, y)
    • ″ = f (x, y). BIT 20 (1980) 215-222
    • (1980) BIT , vol.20 , pp. 215-222
    • Kramarz, L.1
  • 16
    • 33748433032 scopus 로고    scopus 로고
    • H.S. Nguyen, R.B. Sidje, N.H. Cong, On functionally-fitted Runge-Kutta methods, BIT, submitted for publication.
  • 17
    • 0002966890 scopus 로고    scopus 로고
    • A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems
    • Ozawa K. A four-stage implicit Runge-Kutta-Nyström method with variable coefficients for solving periodic initial value problems. Japan J. Indust. Appl. Math. 16 (1999) 25-46
    • (1999) Japan J. Indust. Appl. Math. , vol.16 , pp. 25-46
    • Ozawa, K.1
  • 18
    • 0005703792 scopus 로고    scopus 로고
    • Functional fitting Runge-Kutta method with variable coefficients
    • Ozawa K. Functional fitting Runge-Kutta method with variable coefficients. Japan J. Indust. Appl. Math. 18 (2001) 105-128
    • (2001) Japan J. Indust. Appl. Math. , vol.18 , pp. 105-128
    • Ozawa, K.1
  • 19
    • 0347968265 scopus 로고    scopus 로고
    • Functional fitting Runge-Kutta-Nyström method with variable coefficients
    • Ozawa K. Functional fitting Runge-Kutta-Nyström method with variable coefficients. Japan J. Indust. Appl. Math. 19 (2002) 55-85
    • (2002) Japan J. Indust. Appl. Math. , vol.19 , pp. 55-85
    • Ozawa, K.1
  • 20
    • 27744540012 scopus 로고    scopus 로고
    • A functionally fitted three-stage singly diagonally implicit Runge-Kutta method
    • Ozawa K. A functionally fitted three-stage singly diagonally implicit Runge-Kutta method. Japan J. Indus. App. Math. 22 (2005) 403-427
    • (2005) Japan J. Indus. App. Math. , vol.22 , pp. 403-427
    • Ozawa, K.1
  • 21
    • 0032183736 scopus 로고    scopus 로고
    • Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials
    • Paternoster B. Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based on trigonometric polynomials. Appl. Num. Math. 28 (1998) 401-412
    • (1998) Appl. Num. Math. , vol.28 , pp. 401-412
    • Paternoster, B.1
  • 22
    • 0001606109 scopus 로고
    • Stability of collocation-based Runge-Kutta-Nyström methods
    • van der Houwen P.J., Sommeijer B.P., and Cong N.H. Stability of collocation-based Runge-Kutta-Nyström methods. BIT 31 (1991) 469-481
    • (1991) BIT , vol.31 , pp. 469-481
    • van der Houwen, P.J.1    Sommeijer, B.P.2    Cong, N.H.3
  • 23
    • 0035396968 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. 132 (2001) 95-105
    • (2001) J. Comput. Appl. Math. , vol.132 , pp. 95-105
    • Vanden Berghe, G.1    Ixaru, L.Gr.2    De Meyer, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.