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Volumn 1, Issue 1, 2006, Pages 13-25

Lobatto-obrechkoff formulae for 2nd order two-point boundary value problems

Author keywords

Boundary value problem; Lobatto formulae; MIRK; Obrechko formulae; ODE; Runge kutta

Indexed keywords


EID: 33846400845     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (34)

References (14)
  • 2
    • 0003154080 scopus 로고
    • A new basis implementation for a mixed order boundary value
    • G. Bader and U. Ascher A new basis implementation for a mixed order boundary value ODE solver SISSC, 8, (1987) 483-500.
    • (1987) ODE Solver SISSC , vol.8 , pp. 483-500
    • Bader, G.1    Ascher, U.2
  • 6
    • 18144412843 scopus 로고    scopus 로고
    • On the Derivation of High Order Symmetric MIRK Formulae with Interpolants for Solving Two-Point Boundary Value Problems
    • J.R. Cash On the Derivation of High Order Symmetric MIRK Formulae with Interpolants for Solving Two-Point Boundary Value Problems New Zealand Journal of Mathematics 29, (2000) 129-150.
    • (2000) New Zealand Journal of Mathematics , vol.29 , pp. 129-150
    • Cash, J.R.1
  • 7
    • 0037097867 scopus 로고    scopus 로고
    • Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems
    • J.R. Cash, M.P. Garcia & D.R. Moore Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems J. Computational and Applied Mathematics 143, (2002) 275-289.
    • (2002) J. Computational and Applied Mathematics , vol.143 , pp. 275-289
    • Cash, J.R.1    Garcia, M.P.2    Moore, D.R.3
  • 8
    • 0018920925 scopus 로고
    • A High order methods for the Numerical Solution of two-point boundary value problems
    • J. R. Cash & A. D. R. Moore A High order methods for the Numerical Solution of two-point boundary value problems BIT 20, (1980) 44-53.
    • (1980) BIT , vol.20 , pp. 44-53
    • Cash, J.R.1    Moore, A.D.R.2
  • 9
    • 18144427118 scopus 로고    scopus 로고
    • High Order Interpolants for solutions of Two-Point Boundary Value Problems using MIRK Methods
    • J.R. Cash & D.R. Moore High Order Interpolants for solutions of Two-Point Boundary Value Problems using MIRK Methods J. Computational and Applied Mathematics 48, (2004) pp 1749-1763.
    • (2004) J. Computational and Applied Mathematics , vol.48 , pp. 1749-1763
    • Cash, J.R.1    Moore, D.R.2
  • 10
    • 0020304319 scopus 로고
    • High order methods for the numerical solution of two-point boundary value problems
    • J. R. Cash & A. Singhal High order methods for the numerical solution of two-point boundary value problems BIT 22, (1982) 184-199.
    • (1982) BIT , vol.22 , pp. 184-199
    • Cash, J.R.1    Singhal, A.2
  • 13
    • 0002534290 scopus 로고    scopus 로고
    • Resonant interactions in thermosolutal convection
    • D. R. Moore & N. O. Weiss Resonant interactions in thermosolutal convection Proc. Roy. Soc. Lond. 456,(2000) 39-62.
    • (2000) Proc. Roy. Soc. Lond , vol.456 , pp. 39-62
    • Moore, D.R.1    Weiss, N.O.2
  • 14
    • 0034770146 scopus 로고    scopus 로고
    • Superconvergent Deferred Correction Methods for First Order Systems of Nonlinear Two-Point Boundary Value Problems
    • M. Van Daele & J. R. Cash Superconvergent Deferred Correction Methods for First Order Systems of Nonlinear Two-Point Boundary Value Problems SIAM J. Scientific Computing 22, No. 5, (2000) pp 1697-1716.
    • (2000) SIAM J. Scientific Computing , vol.22 , Issue.5 , pp. 1697-1716
    • Van Daele, M.1    Cash, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.