A note on radial basis function computing

Details A note on radial basis function computing A note on radial basis function computing

2001-06-03

arxiv.org/abs/cs/0106003v1

Int. J. Nonlinear Modelling in Sci. & Engng., 1(1), 2001

Computer Science

Computational Engineering, Finance, and Science

Scientific paper

This note carries three purposes involving our latest advances on the radial basis function (RBF) approach. First, we will introduce a new scheme employing the boundary knot method (BKM) to nonlinear convection-diffusion problem. It is stressed that the new scheme directly results in a linear BKM formulation of nonlinear problems by using response point-dependent RBFs, which can be solved by any linear solver. Then we only need to solve a single nonlinear algebraic equation for desirable unknown at some inner node of interest. The numerical results demonstrate high accuracy and efficiency of this nonlinear BKM strategy. Second, we extend the concepts of distance function, which include time-space and variable transformation distance functions. Finally, we demonstrate that if the nodes are symmetrically placed, the RBF coefficient matrices have either centrosymmetric or skew centrosymmetric structures. The factorization features of such matrices lead to a considerable reduction in the RBF computing effort. A simple approach is also presented to reduce the ill-conditioning of RBF interpolation matrices in general cases.

Affiliated with

Also associated with

No associations

Rating

A note on radial basis function computing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note on radial basis function computing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on radial basis function computing will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-405807