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Volumn 76, Issue 3-4, 2005, Pages 259-277

Adaptive techniques for spline collocation

Author keywords

Adaptive grid; Error bounds; Error estimator; Grid size estimator; Optimal order of convergence; Second order two point boundary value problem; Spline collocation; Spline interpolation

Indexed keywords

ADAPTIVE GRID; ERROR BOUNDS; OPTIMAL ORDER OF CONVERGENCE; SPLINE COLLOCATION; SPLINE INTERPOLATION;

EID: 29144455265     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-005-0141-3     Document Type: Article
Times cited : (26)

References (11)
  • 1
    • 0000342281 scopus 로고
    • On selection of equidistributing meshes for two-point boundary-value problems
    • White, A. B. Jr.: On selection of equidistributing meshes for two-point boundary-value problems. SIAM J. Numer. Anal. 16(3), 472-502 (1979).
    • (1979) SIAM J. Numer. Anal. , vol.16 , Issue.3 , pp. 472-502
    • White Jr., A.B.1
  • 2
    • 84968466504 scopus 로고
    • A collocation solver for mixed order systems of boundary value problems
    • Ascher, U., Christiansen, J., Russell, R. D.: A collocation solver for mixed order systems of boundary value problems. Math. Comp. 55(146), 659-679 (1979).
    • (1979) Math. Comp. , vol.55 , Issue.146 , pp. 659-679
    • Ascher, U.1    Christiansen, J.2    Russell, R.D.3
  • 4
    • 0003154080 scopus 로고
    • A new basis implementation for a mixed order boundary value ODE solver
    • Bader, G., Ascher, U.: A new basis implementation for a mixed order boundary value ODE solver. SIAM J. Sci. Stat. Comp. 8(4), 483-500 (1987).
    • (1987) SIAM J. Sci. Stat. Comp. , vol.8 , Issue.4 , pp. 483-500
    • Bader, G.1    Ascher, U.2
  • 5
    • 0022145329 scopus 로고
    • Grading functions and mesh redistribution
    • Carey, G. F., Dinh, H. T.: Grading functions and mesh redistribution. SIAM J. Numer. Anal. 22(5), 1028-1040 (1985).
    • (1985) SIAM J. Numer. Anal. , vol.22 , Issue.5 , pp. 1028-1040
    • Carey, G.F.1    Dinh, H.T.2
  • 7
    • 29144503041 scopus 로고    scopus 로고
    • Optimal quadratic and cubic spline collocation on nonuniform partitions
    • (2006) (this issue)
    • Christara, C. C., Ng, K. S.: Optimal quadratic and cubic spline collocation on nonuniform partitions. Computing 76, 279-293 (2006) (this issue).
    • Computing , vol.76 , pp. 279-293
    • Christara, C.C.1    Ng, K.S.2
  • 8
    • 0002791812 scopus 로고
    • Good approximation by splines with variable knots II
    • Conf. on Numerical Solution of Differential Equations
    • de Boor, C.: Good approximation by splines with variable knots II. Lecture Notes in Mathematics 363, 12-20 (1973). Conf. on Numerical Solution of Differential Equations.
    • (1973) Lecture Notes in Mathematics , vol.363 , pp. 12-20
    • De Boor, C.1
  • 9
    • 0001476603 scopus 로고
    • Monotone piecewise cubic interpolation
    • Fritsch, F. N., Carlson, R. E.: Monotone piecewise cubic interpolation. SIAM J. Numer. Anal. 17(2), 238-246 (1980).
    • (1980) SIAM J. Numer. Anal. , vol.17 , Issue.2 , pp. 238-246
    • Fritsch, F.N.1    Carlson, R.E.2
  • 10
    • 0032226429 scopus 로고    scopus 로고
    • Moving mesh strategy based on a gradient flow equation for two-dimensional problems
    • Huang, W., Russell, R. D.: Moving mesh strategy based on a gradient flow equation for two-dimensional problems. SIAM J. Sci. Comput. 20, 998-1015 (1999).
    • (1999) SIAM J. Sci. Comput. , vol.20 , pp. 998-1015
    • Huang, W.1    Russell, R.D.2
  • 11
    • 84861294826 scopus 로고    scopus 로고
    • PhD thesis, Department of Computer Science, University of Toronto, Toronto, ON, Canada
    • Ng, K.S.: Spline collocation on adaptive grids and non-rectangular regions. PhD thesis, Department of Computer Science, University of Toronto, Toronto, ON, Canada, 2005. http://www.cs.toronto.edu/pub/reports/na/ccc/ngkit- 05-phd.ps.gz.
    • (2005) Spline Collocation on Adaptive Grids and Non-rectangular Regions
    • Ng, K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.