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Ascher, U.; Christiansen, J.; Russell, R. D.

A collocation solver for mixed order systems of boundary value problems. (English) Zbl 0407.65035

Math. Comput. 33, 659-679 (1979).
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Cited in 2 Reviews
Cited in 96 Documents

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65D07 Numerical computation using splines
65-04 Software, source code, etc. for problems pertaining to numerical analysis
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
68Q25 Analysis of algorithms and problem complexity

Keywords:

Ordinary Differential Equations; Collocation; Adaptive Mesh Refinements; Boundary Value Problems; Order of Approximation; Gaussian Points; Multipoint Boundary Conditions; Fortran Program; Examples; B-Splines

Citations:

Zbl 0398.65051

Software:

D003AD; SOLVEBLOK; HSL
Cite Review PDF
Full Text: DOI

References:

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[2] U. ASCHER, J. CHRISTIANSEN & R. D. RUSSELL, A Collocation Solver for Mixed Order Systems of Boundary Value Problems, Comp. Sci. Tech. Rep. 77-13, Univ. of British Columbia, 1977. · Zbl 0407.65035
[3] U. ASCHER & R. D. RUSSELL, Evaluation of B-Splines for Solving Systems of Boundary Value Problems, Comp. Sci. Tech. Rep. 77-14, Univ. of British Columbia, 1977.
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[31] Robert D. Russell, A comparison of collocation and finite differences for two-point boundary value problems, SIAM J. Numer. Anal. 14 (1977), no. 1, 19 – 39. Papers on the numerical solution of two-point boundary-value problems (NSF-CBMS Regional Res. Conf., Texas Tech Univ., Lubbock, Tex., 1975). · Zbl 0359.65075 · doi:10.1137/0714003
[32] R. D. Russell and J. Christiansen, Adaptive mesh selection strategies for solving boundary value problems, SIAM J. Numer. Anal. 15 (1978), no. 1, 59 – 80. · Zbl 0384.65038 · doi:10.1137/0715004
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[36] M. L. SCOTT & H. A. WATTS, ”A systematized collection of codes for solving twopoint boundary-value problems,” in Numerical Methods for Differential Systems, Academic Press, New York, 1976, pp. 197-227.
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