selected publications
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conference proceeding
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Acceleration of Derivative Calculations with Application to Radial Basis Function - Finite-Differences on the Intel MIC Architecture.
263-272.
2014
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A semi-analytical numerical method for solving evolution and elliptic partial differential equations.
Journal of Computational and Applied Mathematics.
59-74.
2007
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Acceleration of Derivative Calculations with Application to Radial Basis Function - Finite-Differences on the Intel MIC Architecture.
263-272.
2014
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journal article
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Convolutional Neural Networks for Predicting the Strength of the Near-Earth Magnetic Field Caused by Interplanetary Coronal Mass Ejections.
Frontiers in Astronomy and Space Sciences.
2020
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Reconstructing the Coronal Magnetic Field: The Role of Cross-field Currents in Solution Uniqueness.
The Astrophysical Journal: an international review of astronomy and astronomical physics.
2020
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Transport schemes in spherical geometries using spline-based RBF-FD with polynomials.
Journal of Computational Physics.
2020
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Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods.
International Journal of High Performance Computing Applications.
619-631.
2019
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Data-optimized Coronal Field Model. I. Proof of Concept.
The Astrophysical Journal: an international review of astronomy and astronomical physics.
2019
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On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries.
Journal of Computational Physics.
378-399.
2019
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On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains.
Journal of Computational Physics.
996-1016.
2018
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Fast high-dimensional node generation with variable density.
Computers and Mathematics with Applications.
1739-1757.
2018
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Analysis of the Diurnal Variation of the Global Electric Circuit Obtained From Different Numerical Models.
Journal of Geophysical Research: Atmospheres.
12906-12917.
2017
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On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs.
Journal of Computational Physics.
257-273.
2017
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On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy.
Journal of Computational Physics.
21-38.
2016
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Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations.
Journal of Computational Physics.
39-62.
2016
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ROAM: A Radial-Basis-Function Optimization Approximation Method for Diagnosing the Three-Dimensional Coronal Magnetic Field.
Frontiers in Astronomy and Space Sciences.
2016
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A scalable RBF-FD method for atmospheric flow.
Journal of Computational Physics.
406-422.
2015
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Fast generation of 2-D node distributions for mesh-free PDE discretizations.
Computers and Mathematics with Applications.
531-544.
2015
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A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0).
Geoscientific Model Development.
3007-3020.
2015
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Solving PDEs with radial basis functions.
Acta Numerica.
215-258.
2015
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On the sensitivity of 3-D thermal convection codes to numerical discretization: a model intercomparison.
Geoscientific Model Development.
2065-2076.
2014
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A penalty method for numerically handling dispersive equations with incompatible initial and boundary data.
Numerical Methods for Partial Differential Equations.
1996-2009.
2012
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Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs.
Journal of Computational Physics.
7133-7151.
2012
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MAGNETIC HELICITY OF SELF-SIMILAR AXISYMMETRIC FORCE-FREE FIELDS.
The Astrophysical Journal: an international review of astronomy and astronomical physics.
2012
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A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere.
Journal of Computational Physics.
4078-4095.
2012
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A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
2983-3003.
2011
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Radial basis functions: Developments and applications to planetary scale flows.
Computers and Fluids.
23-32.
2011
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STABLE COMPUTATIONS WITH GAUSSIAN RADIAL BASIS FUNCTIONS.
SIAM Journal on Scientific Computing.
869-892.
2011
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A hybrid radial basis function-pseudospectral method for thermal convection in a 3-D spherical shell.
G3: Geochemistry, Geophysics, Geosystems: an electronic journal of the earth sciences.
2010
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Rotational transport on a sphere: Local node refinement with radial basis functions.
Journal of Computational Physics.
1954-1969.
2010
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Comparisons between pseudospectral and radial basis function derivative approximations.
IMA Journal of Numerical Analysis.
149-172.
2010
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A radial basis function method for the shallow water equations on a sphere.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
1949-1976.
2009
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MAGNETIC RELAXATION IN THE SOLAR CORONA.
The Astrophysical Journal: an international review of astronomy and astronomical physics.
720-733.
2009
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INTERPOLATING FIELDS OF CARBON MONOXIDE DATA USING A HYBRID STATISTICAL-PHYSICAL MODEL.
Annals of Applied Statistics.
1231-1248.
2008
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The dependence of the helicity bound of force-free magnetic fields on boundary conditions.
The Astrophysical Journal: an international review of astronomy and astronomical physics.
1160-1167.
2008
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A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
1823-1849.
2008
- Locality properties of radial basis function expansion coefficients for equispaced interpolation. IMA Journal of Numerical Analysis. 121-142. 2008
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Convolutional Neural Networks for Predicting the Strength of the Near-Earth Magnetic Field Caused by Interplanetary Coronal Mass Ejections.
Frontiers in Astronomy and Space Sciences.
2020