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Volumn 191, Issue 1, 2007, Pages 100-116

A high order B-spline collocation method for linear boundary value problems

Author keywords

B splines; Collocation method; Green's function; Linear boundary value problems

Indexed keywords

BOUNDARY CONDITIONS; ERROR ANALYSIS; GREEN'S FUNCTION; LINEAR EQUATIONS; MATRIX ALGEBRA; NUMERICAL METHODS;

EID: 34547684344     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.02.027     Document Type: Article
Times cited : (19)

References (17)
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    • Blaleck, B.1    Farweather, G.2
  • 3
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    • On a collocation B-spline method for the solution of the Navier-Stokes equations
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    • Botella, O.1
  • 4
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    • On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of nonnegative type
    • Bramble J.H., and E Hubbard B. On a finite difference analogue of an elliptic boundary problem which is neither diagonally dominant nor of nonnegative type. J. Math. Phys. 43 (1964) 117-132
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    • Bramble, J.H.1    E Hubbard, B.2
  • 5
    • 0001151229 scopus 로고
    • Numerical methods of higher-order accuracy for nonlinear boundary value problems - I. One dimensional problem
    • Ciarlet P.G., Schultz M.H., and Varga R.S. Numerical methods of higher-order accuracy for nonlinear boundary value problems - I. One dimensional problem. Numer. Math. 9 (1967) 394-430
    • (1967) Numer. Math. , vol.9 , pp. 394-430
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  • 7
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    • Total positivity of the spline collocation matrix
    • DE Boor C. Total positivity of the spline collocation matrix. Ind. Univ. J. Math. 25 (1976) 541-551
    • (1976) Ind. Univ. J. Math. , vol.25 , pp. 541-551
    • DE Boor, C.1
  • 10
    • 0001611519 scopus 로고
    • Survey of spline collocation methods for the numerical solution of differential equations
    • Mathematics for Large Scale Computing. Diaz J.C. (Ed), Marcel Dekker, New York
    • Fairweather G., and Meade D. Survey of spline collocation methods for the numerical solution of differential equations. In: Diaz J.C. (Ed). Mathematics for Large Scale Computing. Lecture Notes in Pure Applied Mathematics vol. 120 (1989), Marcel Dekker, New York 297-341
    • (1989) Lecture Notes in Pure Applied Mathematics , vol.120 , pp. 297-341
    • Fairweather, G.1    Meade, D.2
  • 11
    • 9544235194 scopus 로고    scopus 로고
    • Higher order B-spline collocation at the Greville Absissae
    • Johnson R.W. Higher order B-spline collocation at the Greville Absissae. Appl. Numer. Math. 52 (2005) 63-75
    • (2005) Appl. Numer. Math. , vol.52 , pp. 63-75
    • Johnson, R.W.1
  • 13
    • 0002910384 scopus 로고
    • Discrete methods for nonlinear two point boundary value problems
    • Bramble J.H. (Ed), Academic Press, New York
    • Lees M. Discrete methods for nonlinear two point boundary value problems. In: Bramble J.H. (Ed). Numerical Solution of Partial Differential Equations (1966), Academic Press, New York
    • (1966) Numerical Solution of Partial Differential Equations
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  • 14
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    • M.A. Naimark, Linear Differential Equations, Part I. English Transl. by E.R. Dawson, ed. by W.N. Everitt. Ungar, New York, 1967.
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    • A.L. Roark, L.F. Shampine, On the numerical solution of a linear two-point boundary value problem, Sandia Laboratory Technical Memorandum SC-TM-67-588. Albuquerque, NM, 1967.
  • 17
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    • A collocation method for boundary value problems
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.