Fast Poisson solvers for spectral methods

On the singular values of matrices with high displacement rank

(2018) Alex Townsend et al.   LINEAR ALGEBRA AND ITS APPLICATIONS

Fast polynomial transforms based on Toeplitz and Hankel matrices

(2017) Alex Townsend et al.   MATHEMATICS OF COMPUTATION

On the Singular Values of Matrices with Displacement Structure

(2017) Bernhard Beckermann et al.   SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Computing with Functions in Spherical and Polar Geometries II. The Disk

(2017) Heather Wilber et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Computing with Functions in Spherical and Polar Geometries I. The Sphere

(2016) Alex Townsend et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube

(2016) Amir Gholami et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

The automatic solution of partial differential equations using a global spectral method

(2015) Alex Townsend et al.   JOURNAL OF COMPUTATIONAL PHYSICS

An Extension of Chebfun to Two Dimensions

(2013) Alex Townsend et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Solution of Linear Systems and Matrix Inversion in the TT-Format

(2012) I. V. Oseledets et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Tensor-Train Decomposition

(2011) I. V. Oseledets   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Impossibility of Fast Stable Approximation of Analytic Functions from Equispaced Samples

(2011) Rodrigo B. Platte et al.   SIAM REVIEW

Sharp bounds for the extreme zeros of classical orthogonal polynomials

(2009) Dimitar K. Dimitrov et al.   JOURNAL OF APPROXIMATION THEORY

On the ADI method for Sylvester equations

(2009) Peter Benner et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS