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Volumn 1, Issue 1, 2006, Pages 49-58

The derivation of interpolants for nonlinear two-point boundary value problems

Author keywords

Boundary value problems; Interpolant

Indexed keywords


EID: 35348924948     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (12)
  • 1
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    • Collocation software for boundary value ODEs, ACM Trans
    • U.M. Ascher, J. Christiansen and R.D. Russell, Collocation software for boundary value ODEs, ACM Trans. Math. Softw. 7, (1981) pp. 209-222.
    • (1981) Math. Softw , vol.7 , pp. 209-222
    • Ascher, U.M.1    Christiansen, J.2    Russell, R.D.3
  • 2
    • 2142782818 scopus 로고    scopus 로고
    • Runge-Kutta software with defect control for boundary value ODEs, SIAM
    • W.H. Enright and P.H. Muir, Runge-Kutta software with defect control for boundary value ODEs, SIAM J. Sci.Comput., 17 (1996), pp. 479-497.
    • (1996) J. Sci.Comput. , vol.17 , pp. 479-497
    • Enright, W.H.1    Muir, P.H.2
  • 3
    • 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), pp. 129-150.
    • (2000) New Zealand Journal of Mathematics , vol.29 , pp. 129-150
    • Cash, J.R.1
  • 4
    • 28144454990 scopus 로고
    • An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
    • J.R. Cash, G. Moore, and R.W. Wright, An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems, J. Comput. Phys. 122 (1995), pp. 266-279.
    • (1995) J. Comput. Phys , vol.122 , pp. 266-279
    • Cash, J.R.1    Moore, G.2    Wright, R.W.3
  • 5
    • 0036680020 scopus 로고    scopus 로고
    • Numerical Approximation of Nonlinear BVPs by means of BVMs
    • F. Mazzia and I. Sgura, Numerical Approximation of Nonlinear BVPs by means of BVMs, Appl. Numer. Math., 42 (2002), pp. 337-352.
    • (2002) Appl. Numer. Math. , vol.42 , pp. 337-352
    • Mazzia, F.1    Sgura, I.2
  • 6
    • 0020304319 scopus 로고
    • High order methods for the numerical solution of two-point boundary value problems
    • J.R. Cash and A. Singhal, High order methods for the numerical solution of two-point boundary value problems, BIT, 22 (1982), pp. 184-199.
    • (1982) BIT , vol.22 , pp. 184-199
    • Cash, J.R.1    Singhal, A.2
  • 7
    • 21344485778 scopus 로고
    • Order barriers and characterisations for continuous mono-implicit Runge-Kutta schemes, M
    • P.H. Muir and B. Owren, Order barriers and characterisations for continuous mono-implicit Runge-Kutta schemes, M. Comp., 61 (1993), pp. 675-691.
    • (1993) Comp. , vol.61 , pp. 675-691
    • Muir, P.H.1    Owren, B.2
  • 8
    • 0039646701 scopus 로고
    • Interpolation schemes for collocation solutions of two-point boundary value problems, SIAM
    • S. Pruess, Interpolation schemes for collocation solutions of two-point boundary value problems, SIAM J. Sci. Comput., 7 (1986), pp. 322-333.
    • (1986) J. Sci. Comput. , vol.7 , pp. 322-333
    • Pruess, S.1
  • 9
    • 18144427118 scopus 로고    scopus 로고
    • High-order interpolants for solutions of Two-Point boundary value problems using MIRK methods
    • J.R. Cash and D.R. Moore, High-order interpolants for solutions of Two-Point boundary value problems using MIRK methods, Computers and Mathematics with Applications, 48 (2004), pp. 1749-1763.
    • (2004) Computers and Mathematics with Applications , vol.48 , pp. 1749-1763
    • Cash, J.R.1    Moore, D.R.2
  • 10
    • 0032182567 scopus 로고    scopus 로고
    • Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two point boundary value problems, Appl. Numer
    • J.R. Cash and R.W. Wright, Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two point boundary value problems, Appl. Numer. Math., 28(1998), pp. 227-244.
    • (1998) Math. , vol.28 , pp. 227-244
    • Cash, J.R.1    Wright, R.W.2
  • 11
    • 0002343490 scopus 로고    scopus 로고
    • Iterated deferred correction for linear two-point boundary value problems, Comp
    • J.R. Cash and H.H.M. Silva, Iterated deferred correction for linear two-point boundary value problems, Comp. Appl. Math.,Vol 15, 1 (1996), pp. 55-75.
    • (1996) Appl. Math. , vol.15 , Issue.1 , pp. 55-75
    • Cash, J.R.1    Silva, H.H.M.2
  • 12
    • 84946960897 scopus 로고    scopus 로고
    • Bvp software
    • J. R. Cash and M. H. Wright. Bvp software. http://www.ma.ic.ac.uk/~jcash/BVP software/readme.html.
    • Cash, J.R.1    Wright, M.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.