Natasha Flyer
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Most Influential Person Now
American scientist
Natasha Flyer's AcademicInfluence.com Rankings
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Physics
Natasha Flyer's Degrees
- PhD Physics Stanford University
- Masters Physics Stanford University
- Bachelors Physics Stanford University
Why Is Natasha Flyer Influential?
(Suggest an Edit or Addition)According to Wikipedia, Natasha Flyer is an American earth scientist and applied mathematician known for her expertise on radial basis functions. She works as a research scientist in the Analytics and Integrative Machine Learning laboratory of the National Center for Atmospheric Research, and is also an affiliate of the Department of Applied Mathematics at the University of Colorado at Boulder.
Natasha Flyer's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Stable Computations with Gaussian Radial Basis Functions (2011) (381)
- A primer on radial basis functions with applications to the geosciences (2015) (250)
- Solving PDEs with radial basis functions * (2015) (216)
- On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs (2017) (214)
- On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy (2016) (178)
- A guide to RBF-generated finite differences for nonlinear transport: Shallow water simulations on a sphere (2012) (161)
- A radial basis function method for the shallow water equations on a sphere (2009) (135)
- Transport schemes on a sphere using radial basis functions (2007) (116)
- Magnetic Field Confinement in the Corona: The Role of Magnetic Helicity Accumulation (2006) (105)
- Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids (2005) (98)
- Enhancing finite differences with radial basis functions: Experiments on the Navier-Stokes equations (2016) (93)
- Solution to PDEs using radial basis function finite-differences (RBF-FD) on multiple GPUs (2012) (82)
- Fast generation of 2-D node distributions for mesh-free PDE discretizations (2015) (81)
- A hybrid analytical–numerical method for solving evolution partial differential equations. I. The half-line (2008) (62)
- Radial basis functions: Developments and applications to planetary scale flows (2011) (60)
- Magnetic Field Confinement in the Solar Corona. I. Force-free Magnetic Fields (2004) (52)
- Rotational transport on a sphere: Local node refinement with radial basis functions (2010) (49)
- On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries (2019) (48)
- A hybrid radial basis function–pseudospectral method for thermal convection in a 3‐D spherical shell (2010) (48)
- A numerical implementation of Fokas boundary integral approach: Laplace's equation on a polygonal domain (2011) (47)
- Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods (1999) (47)
- Radial Basis Function-Generated Finite Differences: A Mesh-Free Method for Computational Geosciences (2015) (44)
- Comparisons between pseudospectral and radial basis function derivative approximations (2010) (39)
- The Convergence of Spectral and Finite Difference Methods for Initial-Boundary Value Problems (2001) (38)
- Accurate numerical resolution of transients in initial-boundary value problems for the heat equation (2003) (38)
- A semi-analytical numerical method for solving evolution and elliptic partial differential equations (2009) (35)
- The Dependence of the Helicity Bound of Force-Free Magnetic Fields on Boundary Conditions (2008) (33)
- A scalable RBF-FD method for atmospheric flow (2015) (32)
- A 3-D RBF-FD solver for modeling the atmospheric global electric circuit with topography (GEC-RBFFD v1.0) (2015) (29)
- The Topological Nature of Boundary Value Problems for Force-Free Magnetic Fields (2007) (24)
- MAGNETIC HELICITY OF SELF-SIMILAR AXISYMMETRIC FORCE-FREE FIELDS (2012) (23)
- Locality properties of radial basis function expansion coefficients for equispaced interpolation (2007) (22)
- On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains (2018) (22)
- Stable computations with Gaussian radial basis functions in 2-D (2009) (21)
- Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices (2006) (18)
- On the Nature of Initial-Boundary Value Solutions for Dispersive Equations (2004) (17)
- Interpolating fields of carbon monoxide data using a hybrid statistical-physical model (2009) (16)
- Data-optimized Coronal Field Model. I. Proof of Concept (2019) (15)
- Transport schemes in spherical geometries using spline-based RBF-FD with polynomials (2020) (13)
- Magnetic Field Confinement in the Solar Corona. II. Field-Plasma Interaction (2005) (12)
- ROAM: A Radial-Basis-Function Optimization Approximation Method for Diagnosing the Three-Dimensional Coronal Magnetic Field (2016) (11)
- Analysis of the Diurnal Variation of the Global Electric Circuit Obtained From Different Numerical Models (2017) (9)
- Acceleration of derivative calculations with application to radial basis function: finite-differences on the intel mic architecture (2014) (8)
- Fast high-dimensional node generation with variable density (2017) (8)
- MAGNETIC RELAXATION IN THE SOLAR CORONA (2008) (8)
- On the sensitivity of 3-D thermal convection codes to numerical discretization: a model intercomparison (2014) (7)
- A task parallel implementation of a scattered node stencil-based solver for the shallow water equations (2013) (6)
- An RBF-FD polynomial method based on polyharmonic splines for the Navier-Stokes equations: Comparisons on different node layouts (2015) (6)
- A penalty method for numerically handling dispersive equations with incompatible initial and boundary data (2012) (5)
- Seismic modeling with radial basis function-generated finite differences (RBF-FD) (2014) (4)
- LOCALIZATION PROPERTIES OF RBF EXPANSION COEFFICIENTS FOR CARDINAL INTERPOLATION (2005) (3)
- RBF-generated finite differences for nonlinear transport on a sphere : Shallow water simulations (2011) (3)
- Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function (1998) (3)
- Solving 3D magnetohydrostatics with RBF-FD: Applications to the solar corona (2021) (3)
- A task parallel implementation of an RBF-generated finite difference method for the shallow water equations on the sphere (2014) (2)
- Decreasing False-alarm Rates in CNN-based Solar Flare Prediction Using SDO/HMI Data (2021) (2)
- Implementation of a scalable, performance portable shallow water equation solver using radial basis function-generated finite difference methods (2018) (2)
- Chapter 1: Brief Summary of Finite Difference Methods (2015) (1)
- Convolutional Neural Networks for Predicting the Strength of the Near-Earth Magnetic Field Caused by Interplanetary Coronal Mass Ejections (2020) (1)
- A 3-D RBF-FD elliptic solver for irregular boundaries: modeling the atmospheric global electric circuit with topography (2015) (1)
- Constraining coronal magnetic field models using coronal polarimetry (2016) (1)
- Reconstructing the Coronal Magnetic Field: The Role of Cross-field Currents in Solution Uniqueness (2020) (1)
- SOLVING HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS IN SPHERICAL GEOMETRY WITH RADIAL BASIS FUNCTIONS (2006) (1)
- Convolutional Neural Networks and Stokes Response Functions (2021) (1)
- Chapter 6: Global RBF Applications to Geo-Modeling: Spherical Domains (2015) (0)
- Mantle convection benchmarking in a 3D spherical shell: on the transitional behavior of polyhedral pattern formations (2013) (0)
- Chapter 7: RBF-FD Applications to Geo-Modeling: Spherical Domains (2015) (0)
- Moving vortices on a sphere: Local node refinement for radial basis functions [presentation] (2008) (0)
- Convolutional Neural Networks for Predicting The Impact of Interplanetary Coronal Mass Ejections on The Near-Earth Magnetic Field (2019) (0)
- Chapter 4: Global RBFs for Solving PDEs (2015) (0)
- Chapter 3: Introduction to Radial Basis Functions (2015) (0)
- Flyer polygonal domain integral approach : Laplace ' s equation on a A numerical implementation of Fokas boundary (2011) (0)
- Number 09 / 45 A Hybrid Radial Basis Function-Pseudospectral Method for Thermal Convection in a 3-D Spherical Shell by (2010) (0)
- Stability of convection patterns in 3D and implications for benchmarking [poster] (2015) (0)
- Chapter 8: RBF-FD Applications to Geo-Modeling: Limited-Area Domains (2015) (0)
- Analysis of the diurnal variation of the global electric circuit using different numerical models [poster] (2016) (0)
- Onset of Time-Dependent 3-D spherical Mantle Convection using a Radial Basis Function-Pseudospectral Method ; Spectral-Finite Volume ; Spectral Higher-Order Finite- Difference Methods (2009) (0)
- Chapter 2: Brief Summary of Pseudospectral Methods (2015) (0)
- 3-D Spherical Mantle Convection with Radial Basis Functions (2008) (0)
- Chapter 5: RBF-Generated FD (RBF-FD) Methods (2015) (0)
- Solar flare catalog based on SDO/AIA EUV images: Composition and correlation with GOES/XRS X-ray flare magnitudes (2022) (0)
- Applications of Big Data and High-Performance Computing in Earth Sciences (2019) (0)
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