List of publications

  1. R.B. Platte, L.N. Trefethen, A.B.J. Kuijlaars. Impossibility of fast stable approximation of analytic functions from equispaced samples. To appear in SIAM Rev. (pdf)
  2. R.B. Platte. How fast do radial basis function interpolants of analytic functions converge? To appear in IMA J. Numer. Anal. (pdf)
  3. J. Holmer, R.B. Platte, S. Roudenko. Blow-up criteria for the 3D cubic nonlinear Schrödinger equation. Nonlinearity 23 (2010) 977-1030. doi:10.1088/0951-7715/23/4/011
  4. R.B. Platte, L.N. Trefethen. Chebfun: a new kind of numerical computing, in A. D. Fitt et al., Progress in Industrial Mathematics at ECMI 2008. Springer (2010) 69-87. (pdf)
  5. R. Pachón, R.B. Platte, L.N. Trefethen. Piecewise smooth chebfuns. IMA J. Numer. Anal. 30 (2010) 898-916. (pdf)
  6. R.B. Platte, A. Gelb. A hybrid Fourier-Chebyshev method for partial differential equations. J. Sci. Comput. 39 (2009) 244-264. (pdf)
  7. R.B. Platte, L.F. Rossi, T. Mitchell. Using global interpolation to evaluate the Biot-Savart integral for deformable elliptical Gaussian vortex elements. SIAM J. Sci. Comput. 31 (2009) 2342-2360. (pdf)
  8. A. Gelb, R.B. Platte, W.S. Rosenthal. The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations. Commun. Comput. Phys. 3 (2008) 734-758. (pdf)
  9. R.B. Platte, T.A. Driscoll. Eigenvalue stability of radial basis function discretizations for time-dependent problems. Computers Math. Applic. 51 (2006) 1251-1268. (pdf)
  10. R.B. Platte, T.A. Driscoll. Polynomials and potential theory for Gaussian radial basis function interpolation. SIAM J. Numer. Anal. 43 (2005) 750-766. (pdf)
  11. R.B. Platte. Accuracy and Stability of Global Radial Basis Function Methods for the Numerical Solution of Partial Differential Equations. Ph.D. Thesis, University of Delaware, 2005. (pdf)
  12. R.B. Platte, T.A. Driscoll. Computing eigenmodes of elliptic operators using radial basis functions. Computers Math. Applic. 48 (2004) 561-576. (pdf)
  13. J.R. Claeyssen, R.B. Platte, E. Bravo. Simulation in primitive variables of incompressible flow with pressure Neumann condition. Int. J. for Numer. Meth. Fluids 30 (1999) 1009-1026. (pdf)
  14. E. Bravo, J.R. Claeyssen, R.B. Platte. A direct one-step pressure actualization for incompressible flow with pressure Neumann condition. J. Comput. Appl. Math. 103 (1999) 43-53.