Open Access
Spline function methods
Yu S Zav'yalov,A Imamov +1 more
- 01 Jan 1978
Vol. 75
106
TL;DR: In this paper, the authors present a collection of 12 articles with Russian language abstracts concerned with the theory and application of spline functions as used for solving problems of interpolation, smoothing, function approximations, and solving differential and integral equations.
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Abstract: The collection contains 12 articles (with Russian-language abstracts) concerned with the theory and application of spline functions as used for solving problems of interpolation, smoothing, function approximations, and solving differential and integral equations. Also presented are analysis and correction of boundary problems.
read more
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Citations
Solution of nonlinear initial-value problems by the spline-based differential quadrature method
Hongzhi Zhong,Mengyu Lan +1 more
TL;DR: In this article, the spline-based differential quadrature method (SDQM) is applied to the solution of nonlinear initial-value problems, and explicit expressions of weighting coefficients for approximation of derivatives are presented.
34
Bending of skew plates by spline-finite-strip method
TL;DR: Cheung et al. as mentioned in this paper generalize the spline finite strip method to include parallelogram plates and show the convergence of the method is established and it is supported by numerous examples of different loading and support conditions.
34
The local integro cubic splines and their approximation properties
T. Zhanlav,R. Mijiddorj +1 more
TL;DR: It is shown the integro cubic splines proposed by Behforooz can be constructed locally by using B-representation of splines using the approximation properties of the local splines.
27
Solution of problems of the theory of plates and shells with spline functions (survey)
Ya. M. Grigorenko,N. N. Kryukov +1 more
TL;DR: The use of a given method to obtain a solution with a satisfactorily high degree of accuracy depends to a significant extent on the geometric and mechanical parameters characterizing certain aspects of the problem and the type of boundary conditions as discussed by the authors.
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