Add to ORKGRecently, a new class of surface-divergence free radial basis function interpolants has been developed for surfaces in R3. In this paper, several approximation results for this class of interpolants will be derived in the case of the sphere, S2. In particular, Sobolev-type error estimates are obtained, as well as optimal stability estimates for the associated interpolation matrices. In addition, a Bernstein estimate and an inverse theorem are also derived. Numerical validation of the theoretical results is also given
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
The linear system arising from the interpolation problem of surface divergence-free vector fields us...
Abstract. Recently, a new class of surface-divergence free radial basis func-tion interpolants has b...
In this paper we derive local error estimates for radial basis function interpolation on the unit sp...
In this paper we consider the problem of developing a variational theory for interpolation by radial...
AbstractIn his fundamental paper (RAIRO Anal. Numer. 12 (1978) 325) Duchon presented a strategy for ...
AbstractIn this paper we review the variational approach to radial basis function interpolation on t...
In this paper we review the variational approach to radial basis function interpolation on the spher...
A new numerical technique based on radial basis functions (RBFs) is presented for fitting a vector f...
In this paper we derive local error estimates for radial basis function interpolation on the unit sp...
The purpose of this paper is to get error estimates for spherical basis function (SBF) interpolation...
In this thesis we are concerned with the approximation of functions by radial basis function interpo...
AbstractWe introduce a class of matrix-valued radial basis functions (RBFs) of compact support that ...
A traditional criterion to calculate the numerical stability of the interpolation matrix is its stan...
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
The linear system arising from the interpolation problem of surface divergence-free vector fields us...
Abstract. Recently, a new class of surface-divergence free radial basis func-tion interpolants has b...
In this paper we derive local error estimates for radial basis function interpolation on the unit sp...
In this paper we consider the problem of developing a variational theory for interpolation by radial...
AbstractIn his fundamental paper (RAIRO Anal. Numer. 12 (1978) 325) Duchon presented a strategy for ...
AbstractIn this paper we review the variational approach to radial basis function interpolation on t...
In this paper we review the variational approach to radial basis function interpolation on the spher...
A new numerical technique based on radial basis functions (RBFs) is presented for fitting a vector f...
In this paper we derive local error estimates for radial basis function interpolation on the unit sp...
The purpose of this paper is to get error estimates for spherical basis function (SBF) interpolation...
In this thesis we are concerned with the approximation of functions by radial basis function interpo...
AbstractWe introduce a class of matrix-valued radial basis functions (RBFs) of compact support that ...
A traditional criterion to calculate the numerical stability of the interpolation matrix is its stan...
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
We adapt Schaback's error doubling trick [13] to give error estimates for radial interpolation of fu...
The linear system arising from the interpolation problem of surface divergence-free vector fields us...