Impossibility of fast stable approximation of analytic functions from equispaced samples RB Platte, LN Trefethen, ABJ Kuijlaars SIAM review 53 (2), 308-318, 2011 | 162 | 2011 |
Computing eigenmodes ofelliptic operators using radial basis functions RB Platte, TA Driscoll Computers & mathematics with applications 48 (3-4), 561-576, 2004 | 100 | 2004 |
Eigenvalue stability of radial basis function discretizations for time-dependent problems RB Platte, TA Driscoll Computers & Mathematics with Applications 51 (8), 1251-1268, 2006 | 93 | 2006 |
Polynomials and potential theory for Gaussian radial basis function interpolation RB Platte, TA Driscoll SIAM Journal on Numerical Analysis 43 (2), 750-766, 2005 | 89 | 2005 |
Chebfun: a new kind of numerical computing RB Platte, LN Trefethen Progress in industrial mathematics at ECMI 2008, 69-87, 2010 | 77 | 2010 |
Piecewise-smooth chebfuns R Pachón, RB Platte, LN Trefethen IMA journal of numerical analysis 30 (4), 898-916, 2010 | 65 | 2010 |
Image reconstruction from undersampled Fourier data using the polynomial annihilation transform R Archibald, A Gelb, RB Platte Journal of Scientific Computing 67 (2), 432-452, 2016 | 64 | 2016 |
Chebfun Version 4.2 LN Trefethen, N Hale, RB Platte, TA Driscoll, R Pachón The Chebfun Development Team 30, 2011 | 54 | 2011 |
How fast do radial basis function interpolants of analytic functions converge? RB Platte IMA journal of numerical analysis 31 (4), 1578-1597, 2011 | 49 | 2011 |
Blow-up criteria for the 3D cubic nonlinear Schrödinger equation J Holmer, R Platte, S Roudenko Nonlinearity 23 (4), 977, 2010 | 49 | 2010 |
Composite SAR imaging using sequential joint sparsity T Sanders, A Gelb, RB Platte Journal of Computational Physics 338, 357-370, 2017 | 44 | 2017 |
Recovering fine details from under-resolved electron tomography data using higher order total variation ℓ1 regularization T Sanders, A Gelb, RB Platte, I Arslan, K Landskron Ultramicroscopy 174, 97-105, 2017 | 39 | 2017 |
Chebfun version 3 LN Trefethen, N Hale, RB Platte, TA Driscoll, R Pachón University of Oxford, 2009 | 36 | 2009 |
A mapped polynomial method for high-accuracy approximations on arbitrary grids B Adcock, RB Platte SIAM Journal on Numerical Analysis 54 (4), 2256-2281, 2016 | 29 | 2016 |
Simulation in primitive variables of incompressible flow with pressure Neumann condition JR Claeyssen, RB Platte, E Bravo International Journal for Numerical Methods in Fluids 30 (8), 1009-1026, 1999 | 24 | 1999 |
Optimal sampling rates for approximating analytic functions from pointwise samples B Adcock, RB Platte, A Shadrin IMA Journal of Numerical Analysis 39 (3), 1360-1390, 2019 | 22 | 2019 |
A hybrid Fourier–Chebyshev method for partial differential equations RB Platte, A Gelb Journal of Scientific Computing 39, 244-264, 2009 | 22 | 2009 |
Effective new methods for automated parameter selection in regularized inverse problems T Sanders, RB Platte, RD Skeel Applied Numerical Mathematics 152, 29-48, 2020 | 21 | 2020 |
The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations A Gelb, RB Platte, WS Rosenthal Commun. Comput. Phys. 3 (3), 734-758, 2008 | 20 | 2008 |
Stability of radial basis function methods for convection problems on the circle and sphere JM Martel, RB Platte Journal of Scientific Computing 69 (2), 487-505, 2016 | 16 | 2016 |