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Solving boundary-value problems with a spline-collocation code. (English) Zbl 0439.65067


MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Software:

SOLVEBLOK
Full Text: DOI

References:

[1] Ascher, U.; Christiansen, J.; Russell, R. D., Math. Comp., 33, 659-679 (1979) · Zbl 0407.65035
[2] Ascher, U.; Christiansen, J.; Russell, R. D., Springer Lecture Notes Computer Science, 76 (1979)
[3] de Boor, C., SIAM J. Numer. Anal., 14, 441-472 (1977) · Zbl 0364.65008
[4] Ascher, U.; Russell, R. D., Evaluation of B-Splines for Solving Systems of Boundary Value Problems, (Computer Sciences Technical Report 77-14 (1977), University of British Columbia: University of British Columbia Vancouver) · Zbl 0461.34021
[5] de Boor, C.; Weiss, R., Solveblok; A Package for Solving Almost Block Diagonal Linear Systems, with Applications to Spline Approximation and the Numerical Solution of Ordinary Differential Equations, MRC TSR #1625 Madison, Wisc. (1976)
[6] Finlayson, B. A., Method of Weighted Residuals and Variational Principles (1972), Academic Press: Academic Press New York · Zbl 0319.49020
[7] de Boor, C.; Swartz, B., SIAM J. Numer. Anal., 10, 582-606 (1973) · Zbl 0232.65065
[8] Deuflhard, P., Numer. Math., 33, 115-146 (1979) · Zbl 0428.65032
[9] Vasil’eva, A. B.; Stel’makh, V. G., USSR Comput. Math. Math. Phys., 17, 48-58 (1977) · Zbl 0379.65044
[10] Huang, C. L., Int. J. Non-Linear Mech., 13, 55-60 (1978) · Zbl 0412.76060
[11] Solow, R. M.; Wan, F. Y., Bell J. Econ., 7, 359-370 (1976)
[12] Ascher, U.; Wan, F. Y., SIAM J. Scient. Stat. Comp., 1 (1980), in press
[13] Wan, F. Y., Polar Dimpling of Complete Spherical Shells, (Technical Report 78-28 (1978), Institute of Applied Mathematics, University of British Columbia: Institute of Applied Mathematics, University of British Columbia Vancouver) · Zbl 0472.73067
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