TY  - JOUR
T1  - A Parameter-Free Adaptive Method for Radial Basis Function Interpolation of Bump Functions
AU - Swem, Samuel T. AU - Aboiyar, Terhemen 
JO  - Journal of Modern Mathematics and Statistics
VL  - 4
IS  - 2
SP  - 84
EP  - 88
PY  - 2010
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2010.84.88
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2010.84.88
KW  - adaptivity
KW  -parameter free
KW  -thin plate splines
KW  -Radial basis functions
KW  -interpolation
KW  -algorithm
AB  - In this study, researchers describe and implement a parameter free adaptive algorithm for radial basis function interpolation of real valued bump functions. The method is based on thin plate splines which are known for their good approximation properties. Interpolation points are added and coarsened based on residuals computed on a finer discretization. Numerical examples in one dimension are presented to show the effectiveness of the method.
ER  -