in this paper, a numerical method is developed for solving a linear sixth order boundaryvalue problem (6vbp ) by using the hyperbolic uniform spline of order 3 (lower order). thereis proved to be first-order convergent. numerical results confirm the order of convergencepredicted by the analysis.

Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by collocation method based on cubic B-spline. Usual finite difference scheme is used for time and space integrations. Cubic B-spline is applied as interpolation function. The stability analysis of the scheme is examined by the Von Neumann approach. The efficiency of the method is illustrated by some test...

draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal

draft jul74, T E Xed 1997 Carl de Boor 1. Specialization to the knot sequence Z 2. Cardinal spline interpolation 3. The exponential splines 4. Cardinal spline interpolation as the degree goes to infinity 5. Approximation of cardinal type 6. Semicardinal

This paper presents a new fast and local method of 3D surface reconstruction for scattered data. The algorithm makes use of quasiinterpolants to compute the control points from a coarse to fine hierarchy to generate a sequence of bicubic B-spline functions whose sum approaches to the desired interpolation function. Quasi-interpolants gives a procedure for deriving local spline approximation met...

Interpolation of 2n+k data by spline spaces of order k with n knots is studied. Some conditions on existence of interpolating splines are given. Numerical methods for constructing a solution are suggested. Mathematics Subject Classification: 41A05, 41A15

This paper presents a computational technique that called Tau-collocation method for the developed solution of non-linear integro-differential equations which involves a population model. To do this, the nonlinear integro-differential equations are transformed into a system of linear algebraic equations in matrix form without interpolation of non-poly-nomial terms of equations. Then, using coll...

A parametric class of modified B-spline functions is studied for its applicability in digital image interpolation tasks. The modified functions are generated by weighting and shifting of classical B-splines of different degrees. The weighting coefficients are optimized to assures an effective attenuation of the imaging frequencies, caused by the interpolation. The most computationally expensive...