Recent Changes

Last Meeting

Thursday April 20^th, 2019

Discussed large eigenvalues in the projection method when using LOI.

Recent Articles

References for Thesis

This page lists the references for my Thesis. It's mostly just so I can copy them into the presentation slideshow.

RBF-OGr

This article outlines the RBF Orthogonal Gradients method for solving approximating surface operators as described in [1].

Using Plotly

This is to test the functionality of plotly in the context of sharing scientific data.

CSE 19 Poster Errata

This webpage shows the updated convergence plots for the Tangent Plane Method, Iterated RBF-FD, and Hermite RBF-FD.

Radial Basis Function

This article defines radial basis fuctions (RBFs), describes several types of RBF, and discusses their motivation and applications.

Recent Experiments

Experiment 001 - Time-Stepping

This experiment will test forward and backward Euler time-stepping. We will verify the order of the error.

Experiment 003 RBF Independent Error

It has been obsereved that when using iterated differentiation to solve the problem $\Delta_\SS u = -20Y_{4,-3}$ on the unit sphere, if the degree of the basis terms is 5 (i.e. one higher than the degree of the forcing function) then the error is independent of the choice of RBF. We attempt to explain this behavior.

Experiment 002 - RBF-FD on the Sphere

This experiment will set up code to quickly test many variations of RBF-FD on $\SS^2$. We will test many aspects of RBF-FD in this circumstance including how the number of polynomial/spherical harmonic terms affect stability and convergence rates for PHS RBFs and infinitely-differentiable RBFs.