Abstract
The word “spline” originates from the tool which the project cartography personnel to use in order to connects destination to a light fair curve, namely elastic scantling or thin steel bar. The curve by such spline has the continual slope and curvature in the function. The interpolation which partial and low order polynomial has certainly smooth in the partition place the function is simulates above principle to develop, it has overcome the oscillatory occurrences which the higher mode polynomial interpolation possibly appears, and has the good value stability and the astringency, the function by this kind of interpolation process is the polynomial spline function.
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References
Kadalbajoo, M.K., Kumar, V.: B-spline solution of singular boundary value problems. Applied Mathematics and Computation 182, 1509–1513 (2006)
Kadalbajoo, M.K., Arorar, P.: B-splines with artificial viscosity for solving singularly perturbed boundary value problems. Mathematical and Computer Modelling 52, 654–666 (2010)
Kadalbajoo, M.K., Arorar, P., Gupta, V.: Collocation method using artificial viscosity for solving stiff singularly perturbed turning point problem having twin boundary layers. Computers and Mathematics with Applications 61, 1595–1607 (2011)
Wang, R.-H., Li, C.-J., Zhu, C.-G.: Computational Geometry. Science Press, BeiJing (2008)
Ren, Y.-J.: Numerical Analysis and MATLAB Implementation. Higher Education Press (2008)
Kadalbajoo, M.K., Yadaw, A.S., Kumar, D., Gupta, V.: Comparative study of singularly perturbed two-point BVPs via:Fitted-mesh finite difference method, B-spline collocation method and finite element method. Applied Mathematics and Computation 204, 713–725 (2008)
Bawa, R.K., Natesan, S.: A Computational Method for Self-Adjoint Singular Perturbation Problems Using Quintic Spline, vol. 50, pp. 1371–1382 (2005)
Chang, J., Wang, Z., Yang, A.: Construction of Transition Curve Between Nonadjacent Cubic T-B Spline Curves. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds.) ICICA 2010. LNCS, vol. 6377, pp. 454–461. Springer, Heidelberg (2010)
Chang, J., Wang, Z., Wu, Z.: The Smooth Connection Between Adjacent Bicubic T-B Spline Surfaces. Journal of Information and Computational Science 7(N9), 2155–2164 (2010)
Chang, J., Wang, R., Yuan, J.: Random Splines and Random Empirical Mode Decomposition. Journal of Information and Computational Science 7(N10), 1987–1997 (2010)
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Wang, Z., Wang, K., An, S. (2011). Cubic B-Spline Interpolation and Realization. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 243. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27503-6_12
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DOI: https://doi.org/10.1007/978-3-642-27503-6_12
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