88 citations · 88 across the 3 of their papers we have counts for
5 papers
Convergence of stationary radial basis function-schemes for evolution equations
Brad Baxter, Raymond Brummelhuis
We establish precise convergence rates for semi-discrete schemes based on Radial Basis Function interpolation, as well as approximate approximation results for such schemes. Our sc…
Preconditioned Conjugate Gradients, Radial Basis Functions and Toeplitz Matrices
Brad Baxter
Radial basis functions provide highly useful and flexible interpolants to multivariate functions. Further, they are beginning to be used in the numerical solution of partial differ…
Conditionally Positive Functions and p-norm Distance Matrices
Brad Baxter
In Micchelli's paper "Interpolation of scattered data: distance matrices and conditionally positive functions", deep results were obtained concerning the invertibility of matrices…
The Interpolation Theory of Radial Basis Functions
Brad Baxter
In this dissertation, it is first shown that, when the radial basis function is a -norm and , interpolation is always possible when the points are all different and t…
Functionals of Exponential Brownian Motion and Divided Differences
Brad Baxter, Raymond Brummelhuis
We provide a surprising new application of classical approximation theory to a fundamental asset-pricing model of mathematical finance. Specifically, we calculate an analytic value…