In this paper we present an approximation method of quadric surface using quartic spline. Our method is based on the approximation of quadratic rational Bézier patch using quartic Bézier patch. We show that our approximation method yields G (tangent plane) continuous quartic spline surface. We illustrate our results by the approximation of helicoid-like surface.

Quartic-Spline Collocation Methods for Fourth-Order Two-Point Boundary Value Problems Ying Zhu Master of Science Graduate Department of Computer Science University of Toronto 2001 This thesis presents numerical methods for the solution of general linear fourth-order boundary value problems in one dimension. The methods are based on quartic splines, that is, piecewise quartic polynomials with C3...

In this paper, we present the HyersUlamRassias stability of quartic functional equation f(2x + y) + f(2x – y) = 4.f(x + y) + 4f(x – y) + 24f(x) ( 6f(y) in Random 2Normed space . References 1. A. Alotaibi, S.A. Mohiuddine; On the stability of a cubic functional equation in random 2-normed spaces, Advances in Difference Equations, 1,39 (2012) pp. 1-10. 2. D.H. Hyers; On the stability of the linea...