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Rodrigo B. Platte, Ph.D.

Affiliations: 
2005 University of Delaware, Newark, DE, United States 
Area:
Mathematics
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Tobin A. Driscoll grad student 2005 University of Delaware
 (Accuracy and stability of global radial basis function methods for the numerical solution of partial differential equations.)

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Publications

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Sanders T, Platte RB, Skeel RD. (2020) Effective new methods for automated parameter selection in regularized inverse problems Applied Numerical Mathematics. 152: 29-48
Sanders T, Platte RB. (2018) Multiscale higher-order TV operators for L1 regularization. Advanced Structural and Chemical Imaging. 4: 12
Scarnati T, Gelb A, Platte RB. (2018) Using $$\ell _1$$ ā„“ 1 Regularization to Improve Numerical Partial Differential Equation Solvers Journal of Scientific Computing. 75: 225-252
Sanders T, Gelb A, Platte RB, et al. (2017) Recovering fine details from under-resolved electron tomography data using higher order total variation ā„“1 regularization. Ultramicroscopy. 174: 97-105
Sanders T, Gelb A, Platte RB. (2017) Composite SAR imaging using sequential joint sparsity Journal of Computational Physics. 338: 357-370
Adcock B, Platte RB. (2016) A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids Siam Journal On Numerical Analysis. 54: 2256-2281
Martel JM, Platte RB. (2016) Stability of Radial Basis Function Methods for Convection Problems on the Circle and Sphere Journal of Scientific Computing. 69: 487-505
Platte RB. (2015) Cāˆž compactly supported and positive definite radial kernels Siam Journal On Scientific Computing. 37
Mitrano AA, Platte RB. (2015) A numerical study of divergence-free kernel approximations Applied Numerical Mathematics. 96: 94-107
Platte RB, Gutierrez AJ, Gelb A. (2015) Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates Applied and Computational Harmonic Analysis. 39: 427-449
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