In this paper, a new set of spline functions called ``Flat End Fuzzy Spline" is defined to interpolate given fuzzy data. Some important theorems on these splines together with their existence and uniqueness properties are discussed. Then numerical examples are presented to illustrate the differences between of using our spline and other interpolations that have been studied before.

We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms. x1. Introduction Suppose we are given values ff(v)g v2V of an unknown function f at a set V of scattered points in IR 2. To approximate f, we choose a linear space S of polynomial splines of degree d deened on a triangulation 4 with vertices at the points of V. be the set of...

Nonparametric regression techniques such as spline smoothing and local tting depend implicitly on a parametric model. For instance, the cubic smoothing spline estimate of a regression function based on observations ti; Yi is the minimizer of P(Yi (ti))2 + R ( 00)2. Since R ( 00)2 is zero when is a line, the cubic smoothing spline estimate favors the parametric model (t) = 0+ 1t: Here we conside...

We derive error bounds for bivariate spline interpolants which are calculated by minimizing certain natural energy norms. x1. Introduction Suppose we are given values ff(v)g v2V of an unknown function f at a set V of scattered points in IR 2. To approximate f, we choose a linear space S of polynomial splines of degree d deened on a triangulation 4 with vertices at the points of V. be the set of...

Rust and Thijsse [9, 11] have shown that global annual average temperature anomalies T (ti) vary linearly with atmospheric CO2 concentrations c(ti). The c(ti) can be related to man-made CO2 emissions F (ti) by a linear regression model whose solution vector gives the unknown retention fractions γ(ti) of the F (ti) in the atmosphere. Gaps in the c(ti) record make the system underdetermined, but ...

The present research investigates the implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics. NURBS and T-splines are two different computational geometry technologies which are studied in this work. Among the features of B-spline basis functions, the possibility of enhancing a B-spline basis with discontinuities ...

Let A be an infinite sign regular (sr) matrix which can be viewed as a bounded linear operator from lx to itself. It is proved here that if the range of A contains the sequence (...,1,-1,1,-1,...), then A is onto. If A'' exists, then DA~'D is also sr, where D is the diagonal matrix with diagonal entries alternately 1 and -1. In case A is totally positive (tp), then DA~]D is also tp under additi...

We present a new method to construct a trivariate T-spline representation of complex solids for the application of isogeometric analysis. The proposed technique only demands the surface of the solid as input data. The key of this method lies in obtaining a volumetric parameterization between the solid and a simple parametric domain. To do that, an adaptive tetrahedral mesh of the parametric dom...

For a given triangulation 4 of a region R of interest, let S 2 8 (4) := fs 2 C 2 (R) : sj t 2 IP 8 ; 8t 2 4g be the space of all splines of degree 8 and smoothness 2, where t denotes any triangle of 4 and IP 8 the space of polynomials of total degree 8. Furthermore, let b S 2 8 (4) := fs 2 S 2 8 (4) : s 2 C 3 at v;8v 2 4g be a super spline subspace of S 2 8 (4). We construct a collection of loc...

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t In this paper, we consider the properties of monotonicity-preserving and global conservation preserving for ...