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Volumn 1, Issue 1, 2006, Pages 131-144

BS linear multistep methods on non-uniform meshes

Author keywords

B splines; Boundary value methods; Boundary value problems; Ordinary differential equations; Spline collocation

Indexed keywords


EID: 67650672748     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (51)

References (16)
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    • Brugnano, L.1    Trigiante, D.2
  • 5
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    • A deferred correction method for nonlinear two point boundary value problems: Implementation and numerical evaluation
    • J.R. Cash and M.H. Wright (1991), A deferred correction method for nonlinear two point boundary value problems: Implementation and numerical evaluation, SIAM J. Sci. Statist. Comput., 12 No. 4, 971-989.
    • (1991) SIAM J. Sci. Statist. Comput , vol.12 , Issue.4 , pp. 971-989
    • Cash, J.R.1    Wright, M.H.2
  • 7
    • 0003589989 scopus 로고
    • Solving Ordinary Differential Equations. I
    • Nonstiff Problems, Second edition, Springer-Verlag, Berlin
    • E. Hairer, S. P. Nørsett and G. Wanner (1993), Solving Ordinary Differential Equations. I. Nonstiff Problems, Second edition. Springer Series in Computational Mathematics, 8. Springer-Verlag, Berlin.
    • (1993) Springer Series in Computational Mathematics
    • Hairer, E.1    Nørsett, S.P.2    Wanner, G.3
  • 8
    • 2142782818 scopus 로고    scopus 로고
    • Runge-Kutta software with defect control for boundary value ODEs
    • W. H. Enright and P.H. Muir (1996), Runge-Kutta software with defect control for boundary value ODEs, SIAM J. Sci. Comput., 17 No. 2, 479-497.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.2 , pp. 479-497
    • Enright, W.H.1    Muir, P.H.2
  • 9
    • 0001219657 scopus 로고
    • Spline Function Approximation for Solutions of Ordinary Differential Equations
    • F. R. Loscalzo and T. D. Talbot (1967), Spline Function Approximation for Solutions of Ordinary Differential Equations, SIAM J. Numer. Anal. 4, No. 3, 433-445.
    • (1967) SIAM J. Num , vol.4 , Issue.3 , pp. 433-445
    • Loscalzo, F.R.1    Talbot, T.D.2
  • 10
    • 0003046437 scopus 로고
    • An Introduction to the Application of Spline Functions to Initial Value Problems
    • T. N. E. Greville, Academic Press, New York
    • F. R. Loscalzo (1969), An Introduction to the Application of Spline Functions to Initial Value Problems, in T. N. E. Greville, Theory and Applications of Spline Functions, Academic Press, New York, 37-64.
    • (1969) Theory and Applications of Spline Functions , pp. 37-64
    • Loscalzo, F.R.1
  • 11
    • 84946952177 scopus 로고    scopus 로고
    • B-Spline Linear Multistep Methods and their Continuous Extensions, in press on SIAM J
    • F. Mazzia, A. Sestini and D. Trigiante (2004), B-Spline Linear Multistep Methods and their Continuous Extensions, in press on SIAM J. Numer. Anal.
    • (2004) Numer. Anal
    • Mazzia, F.1    Sestini, A.2    Trigiante, D.3
  • 13
    • 0036680020 scopus 로고    scopus 로고
    • Numerical approximation of nonlinear BVPs by means of BVMs
    • F. Mazzia and I. Sgura (2002), Numerical approximation of nonlinear BVPs by means of BVMs. Appl. Numer. Math., 42 No. 1-3, 337-352.
    • (2002) Appl. Numer. Math. , vol.42 , Issue.1-3 , pp. 337-352
    • Mazzia, F.1    Sgura, I.2
  • 14
    • 3142683226 scopus 로고    scopus 로고
    • A Hybrid Mesh Selection Strategy based on Conditioning for Boundary Value ODE Problems
    • F. Mazzia and D. Trigiante (2004), A Hybrid Mesh Selection Strategy based on Conditioning for Boundary Value ODE Problems, Numerical Algorithms 36, 169-187.
    • (2004) Numerical Algorithms , vol.36 , pp. 169-187
    • Mazzia, F.1    Trigiante, D.2
  • 16
    • 0001166361 scopus 로고
    • Tschebysheffan Spline Functions
    • S. Karlin and Z. Ziegler (1966), Tschebysheffan Spline Functions, SIAM J. Numer. Anal. 3, Series B, 514-543.
    • (1966) SIAM J. Numer. Anal , vol.3 , Issue.B , pp. 514-543
    • Karlin, S.1    Ziegler, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.