On Wu and Schaback's Error Bound

2006/02/06 by Luh, Lin-Tian
#41A05 #41A25 #41A63 #65D05 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0602087

Abstract

In this paper we point out that the commonly used error bound in the theory of radial basis functions contains an important error. It doesn't apply for derivatives. Thus one should be very careful when dealing with differential equations.

Related

• An Extension of the Exponential-type Error Bounds for Multiquadric and Gaussian Interpolations
• A New Radial Function
• Error Bounds on Derivatives during Simulations
• A new bound for the error term in the approximate functional equation for the derivatives of the Hardy's Z-function
• Scaling of Radial Basis Functions