Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis
Figure 1
Time for conversion to Legendre basis as a function of number of points and number of dimensions. Each trace corresponds to a fixed order of accuracy (or depth, ) with the number of dimensions increasing. (a) Time versus number of points showing linear dependence on the number of points evaluated. (b) The same data as a function of number of dimensions (except, is truncated for scaling reasons). Given the linear relationship on the right, this is essentially a scaled plot of the number of points as a function of the number of dimensions.
