3 papers
math.NA2019
Preconditioned nonlinear iterations for overlapping Chebyshev discretizations with independent grids
Kevin W. Aiton, Tobin A. Driscoll
The additive Schwarz method is usually presented as a preconditioner for a PDE linearization based on overlapping subsets of nodes from a global discretization. It has previously b…
math.NA2018
An adaptive partition of unity method for multivariate Chebyshev polynomial approximations
Kevin W. Aiton, Tobin A. Driscoll
Spectral polynomial approximation of smooth functions allows real-time manipulation of and computation with them, as in the Chebfun system. Extension of the technique to two-dimens…
math.NA2017
An adaptive partition of unity method for Chebyshev polynomial interpolation
Kevin W. Aiton, Tobin A. Driscoll
For a function that is analytic on and around an interval, Chebyshev polynomial interpolation provides spectral convergence. However, if the function has a singularity close to the…