Results 31 to 40 of about 90,750 (294)

Global Identification of FitzHugh-Nagumo Equation via Deterministic Learning and Interpolation

IEEE Access, 2019
Spiral wave is closely related to the occurrence of malignant ventricular arrhythmia. It is important and necessary to study the spiral wave dynamics to better analyze and control spiral waves. In this paper, the dynamics of FitzHugh-Nagumo(FHN) model is
Xunde Dong, Wenjie Si, Cong Wang
doaj   +1 more source

Integrated Segmentation and Interpolation of Sparse Data [PDF]

, 2014
This paper addresses the two inherently related problems of segmentation and interpolation of 3D and 4D sparse data by integrating integrate these stages in a level set framework. The method supports any spatial configurations of sets of 2D slices having
Adeline Paiement, Xianghua Xie
core   +1 more source

Refined Error Estimates for Radial Basis Function Interpolation

Constructive Approximation, 2003
In this paper the authors find error estimates for radial-function scattered-data interpolants and their derivatives in the case of interpolation on \(\mathbb R^d\) as well as on the \(d\)-torus and the 2-sphere. The estimates of the errors result from estimates of the corresponding power functions. Typically, such results are of the form \({\mathcal O}
Narcowich, F. J., Ward, Joseph D., Wendland, Holger   +2 more
openaire   +3 more sources

Inverse and saturation theorems for radial basis function interpolation [PDF]

Mathematics of Computation, 2001
The inverse and saturation theorems for radial basis function interpolation are investigated. It is shown especially that a function that can be approximated sufficiently fast must belong to the native space of the basis functions in use. The main result in case of inverse theorems deal with basis functions that generate Sobolev spaces as their native ...
Schaback, Robert, Wendland, Holger
openaire   +3 more sources

Making conditionally negative definite radial basis function interpolation well-conditioned by adding cardinal basis functions

Ain Shams Engineering Journal, 2018
A class of basis functions so called well-conditioned RBF (WRBFs) has been introduced. This basis has been manipulated by adding cardinal functions to the conditionally negative definite RBFs of order 1, such as Multiquadric functions 1+(∊r)2 (MQ) and ...
Saeed Kazem, Edmund A. Chadwick, Ali Hatam   +2 more
doaj   +1 more source

Solving the Linear Integral Equations Based on Radial Basis Function Interpolation

Journal of Applied Mathematics, 2014
The radial basis function (RBF) method, especially the multiquadric (MQ) function, was introduced in solving linear integral equations. The procedure of MQ method includes that the unknown function was firstly expressed in linear combination forms of ...
Huaiqing Zhang, Yu Chen, Xin Nie
doaj   +1 more source

The Shape Parameter in the Shifted Surface Spline—An Easily Accessible Approach

Mathematics, 2022
In this paper, we present an easily accessible approach to finding a suitable shape parameter in the shifted surface spline for function interpolation. We aim at helping more readers, including mathematicians and non-mathematicians, to use our method to ...
Lin-Tian Luh
doaj   +1 more source

Error estimates for interpolation of rough data using the scattered shifts of a radial basis function

, 2007
The error between appropriately smooth functions and their radial basis function interpolants, as the interpolation points fill out a bounded domain in R^d, is a well studied artifact. In all of these cases, the analysis takes place in a natural function
F.J. Narcowich, G.J.O. Jameson, J. Levesley, J. Yoon, J. Yoon, R. A. Brownlee, R. Brownlee, W.A. Light, W.A. Light   +8 more
core   +1 more source

A trivariate interpolation algorithm using a cube-partition searching procedure [PDF]

, 2014
In this paper we propose a fast algorithm for trivariate interpolation, which is based on the partition of unity method for constructing a global interpolant by blending local radial basis function interpolants and using locally supported weight ...
Cavoretto, Roberto, De Rossi, Alessandra
core   +2 more sources

Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method [PDF]

, 2014
Immersed boundary methods are efficient tools of growing interest as they allow to use generic CFD codes to deal with complex, moving and deformable geometries, for a reasonable computational cost compared to classical body-conformal or unstructured mesh
Favier, J., Pinelli, A., Toja-Silva, F.
core   +3 more sources