Error localization of best L1 polynomial approximants (2019) pdf
Spectral methods without discretization woes (2018) pdf, YouTube video
Continuous analogues of Krylov methods for differential operators (2018) pdf
Numerical computing without discretization woes (2018) pdf
Algebraic-geometric methods for multidimensional polynomial rootfinding (2018) pdf
Fast algorithms using the humble Hadamard matrix product (2017) pdf
A spectral method for active biological fluid simulations (2017) pdf
Why are so many matrices of low rank in computational math? (2017) pdf, YouTube video
How to develop top 21st century algorithm (2017) pdf
Top-ten algorithms from the 20th century (2016) pdf
Stable extrapolation of analytic functions (2016). pdf
Numerical computations with functions on the sphere and disk (2015). pdf
Beyond Chebyshev technology (2015). pdf
A fast analysis-based DHT using asymptotics expansions (2015). [Awarded the Leslie Fox Prize] pdf
Are resultant methods numerically unstable for multidimensional rootfinding? (2015). pdf
A fast Chebyshev-Legendre transform using an asymptotic formula (2015). pdf
Fast algorithms based on asymptotic expansions of special functions (2015). pdf
The automatic solution of PDEs using a global spectral method (2014). pdf
Continuous analogues of matrix factorizations (2014). pdf
Bivariate rootfinding via Bezout resultants (2013). pdf
An extension of Chebfun to two dimensions (2013). [Awarded SIAM UKIE certificate of recognition for talk] pdf
A fast and well-conditioned spectral method: The US method (2013). [Talk for the Leslie Fox Prize] pdf
Chebfun2: Exploring constant coefficient PDEs on rectangles (2013). pdf
Chebfun: Numerical computing with functions (2013). [An invited 1hr 40min tutorial] pdf
Double ansatz spaces and barycentric rootfinding (2012). pdf
Chebfun2: Bivariate function approximation the ACA way (2012). pdf
Computing Gauss-Jacobi quadrature rules (2012). pdf
Multiscale analysis on bounded domains with restricted interpolation points (2011). [Awarded SIAM UKIE best student talk prize] pdf