Results 11 to 20 of about 1,510 (211)
Spline Approximations of Real Algebraic Surfaces
Journal of Symbolic Computation, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chandrajit L. Bajaj, Guoliang Xu
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An algebraic framework for geometrically continuous splines [PDF]
Mathematics of Computation, 2023 Geometrically continuous splines are piecewise polynomial functions defined on a collection of patches which are stitched together through transition maps. They are called G
Mantzaflaris, Angelos +3 more
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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
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An Algorithm for Isolating the Real Solutions of Piecewise Algebraic Curves [PDF]
Journal of Applied Mathematics, 2011 The piecewise algebraic curve, as the set of zeros of a bivariate spline function, is a generalization of the classical algebraic curve. In this paper, an algorithm is presented to compute the real solutions of two piecewise algebraic curves.
Jinming Wu, Xiaolei Zhang
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The Numerical Solution of Problems in Calculus of Variation Using B-Spline Collocation Method [PDF]
Journal of Applied Mathematics, 2012 A B-spline collocation method is developed for solving boundary value problems which arise from the problems of calculus of variations. Some properties of the B-spline procedure required for subsequent development are given, and they are utilized to ...
M. Zarebnia, M. Birjandi
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Data Smoothing and Interpolation Using Eighth-order Algebraic Splines [PDF]
IEEE Transactions on Signal Processing, 2004 A new type of algebraic spline is used to derive a filter for smoothing or interpolating discrete data points. The spline is dependent on control parameters that specify the relative importance of data fitting and the derivatives of the spline. A general spline of arbitrary order is first formulated using matrix equations. We then focus on eighth-order
Dan Simon, D. Simon, Simon, Daniel J.
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Solving Volterra-Fredholm integral equations by non-polynomial spline functions
Қарағанды университетінің хабаршысы. Математика сериясыIt depends on our information, non-polynomial spline functions have not been applied for solving Volterra- Fredholm integral equations of the second kind yet.
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
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A compact algebraic representation of cardinal GB-splines [PDF]
Dolomites Research Notes on ApproximationSummary: This work introduces a compact algebraic representation of generalized B-spline basis functions built upon uniform knot partitions (also known as cardinal GB-splines), that stands out for its simplicity with respect to the well-known integral formulation.
Romani L., Rossini M., Viscardi A.
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Numerical solution of variational problems via parametric quintic spline method [PDF]
Journal of Hyperstructures, 2014 In this paper, the parametric quintic spline method is used for finding the solution of variational problems associated in engineering and physics. The present approximation reduce the problems to an explicit system of algebraic equations. Some numerical
M. Zarebnia, Z. Sarvari
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Ain Shams Engineering Journal, 2021 The objective of this work is to propose a hybrid numerical method for the approximation of Fisher’s reaction–diffusion equation. The method is based on cubic uniform algebraic trigonometric (CUAT) tension B-spline functions and differential quadrature ...
Mohammad Tamsir, M.J. Huntul
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