메뉴 건너뛰기




Volumn 72, Issue 2-4, 1999, Pages 189-198

A continuous implicit nyström method for solving ordinary second order initial value problems

Author keywords

Absolute stability; Collocation methods; Nystr m method; Periodic stability; Second order initial value problems

Indexed keywords

DIFFERENTIAL EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0004867069     PISSN: 00207160     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207169908804845     Document Type: Article
Times cited : (2)

References (14)
  • 1
    • 0008754013 scopus 로고
    • High order P-stable formulae for numerical integration of periodic initial value problems
    • Cash, J. R. (1981). High order P-stable formulae for numerical integration of periodic initial value problems, Numer. Math., 37, 355-370.
    • (1981) Numer. Math. , vol.37 , pp. 355-370
    • Cash, J.R.1
  • 2
    • 0019697924 scopus 로고
    • Two-step fourth order P-stable methods for second-order differential equation
    • Chawla, M. M. (1981). Two-step fourth order P-stable methods for second-order differential equation, BIT, 21, 190-193.
    • (1981) BIT , vol.21 , pp. 190-193
    • Chawla, M.M.1
  • 3
    • 38249030052 scopus 로고
    • Characterization of a class of P-stable methods for differential equations of second order
    • Coleman, J. P. (1988). Characterization of a class of P-stable methods for differential equations of second order, J. Comput. Appl. Math., 22, 137-141.
    • (1988) J. Comput. Appl. Math. , vol.22 , pp. 137-141
    • Coleman, J.P.1
  • 4
    • 0001330331 scopus 로고
    • Numerical methods for y″ = f(x, y) via rational approximations for the cosine
    • Coleman, J. P. (1989). Numerical methods for y″ = f(x, y) via rational approximations for the cosine, IMA J. of Numer. Anal., 9, 145-165.
    • (1989) IMA J. of Numer. Anal. , vol.9 , pp. 145-165
    • Coleman, J.P.1
  • 5
    • 0000657979 scopus 로고
    • Stability of collocation methods for the numerical solution of y″ =f(x,y)
    • Kramarz, L. (1980). Stability of collocation methods for the numerical solution of y″ =f(x,y), BIT, 20, 215-222.
    • (1980) BIT , vol.20 , pp. 215-222
    • Kramarz, L.1
  • 7
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • Lambert, J. D. and Watson, I. A. (1976). Symmetric multistep methods for periodic initial value problems, J. Inst. Math. Appl., 18, 189-202.
    • (1976) J. Inst. Math. Appl. , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 8
    • 0003046437 scopus 로고
    • An introduction to the application of spline functions to initial value problems
    • Greville, T. N. E. Ed., Academic Press, New York
    • Loscalzo, F. R., An introduction to the application of spline functions to initial value problems, In: Greville, T. N. E. Ed., Theory and Applications of Spline Functions, (Academic Press, New York, 1969) pp. 37-64.
    • (1969) Theory and Applications of Spline Functions , pp. 37-64
    • Loscalzo, F.R.1
  • 9
    • 0002174642 scopus 로고
    • Splines and collocation for ordinary initial value problems
    • Singh, S. P. et al., Eds., Reidel, Dordrecht
    • Norsett, S. P., Splines and collocation for ordinary initial value problems, In: Singh, S. P. et al., Eds., Approximation Theory and Spline Functions (Reidel, Dordrecht, 1984) pp. 397-417.
    • (1984) Approximation Theory and Spline Functions , pp. 397-417
    • Norsett, S.P.1
  • 10
    • 0030285138 scopus 로고    scopus 로고
    • 3-spline collocation method for solving second-order initial value problems
    • 3-spline collocation method for solving second-order initial value problems. J. Comp. Appl. Math., 75, 295-304.
    • (1996) J. Comp. Appl. Math. , vol.75 , pp. 295-304
    • Sallam, S.1    Karaballi, A.A.2
  • 11
    • 0041934483 scopus 로고
    • Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems
    • Simos, T. E. (1993). Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems, J. Comput. Math. Appl., 26, 7-15.
    • (1993) J. Comput. Math. Appl. , vol.26 , pp. 7-15
    • Simos, T.E.1
  • 12
    • 0027702560 scopus 로고
    • Embedded Runge-Kutta methods for periodic initial-value problems
    • Simos, T. E. (1993). Embedded Runge-Kutta methods for periodic initial-value problems, Math. Comput. Simul., 35, 387-395.
    • (1993) Math. Comput. Simul. , vol.35 , pp. 387-395
    • Simos, T.E.1
  • 13
    • 0021382438 scopus 로고
    • Multiderivative methods for periodic initial value problems
    • Twizell, E. H. and Khaliq, A. Q. M. (1984). Multiderivative methods for periodic initial value problems, SIAM J. Numer. Anal., 21, 111-122.
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 111-122
    • Twizell, E.H.1    Khaliq, A.Q.M.2
  • 14
    • 0009963675 scopus 로고
    • Predictor-corrector methods for periodic second-order initial value problems
    • van der Houwen, P. J. and Sommeijer, B. P. (1987). Predictor-corrector methods for periodic second-order initial value problems, IMA J. Numer. Anal., 7, 407-422.
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 407-422
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.