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Author ID: flyer.natasha Recent zbMATH articles by "Flyer, Natasha"
Published as: Flyer, Natasha; Flyer, N.
External Links: Wikidata · GND · IdRef
Documents Indexed: 34 Publications since 1998, including 1 Book and 1 Additional arXiv Preprint
Co-Authors: 32 Co-Authors with 32 Joint Publications
685 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 1,200 times in 618 Documents Cited by Year
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
178
2011
A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001
Fornberg, Bengt; Flyer, Natasha
133
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
118
2015
On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642
Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A.
80
2016
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144
Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A.
80
2017
A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078
Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik
79
2012
A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664
Flyer, Natasha; Wright, Grady B.
68
2009
Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations. Zbl 1349.76460
Flyer, Natasha; Barnett, Gregory A.; Wicker, Louis J.
57
2016
Transport schemes on a sphere using radial basis functions. Zbl 1124.65097
Flyer, Natasha; Wright, Grady B.
56
2007
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
38
2005
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413
Fornberg, Bengt; Flyer, Natasha
31
2015
Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078
Flyer, Natasha; Fornberg, Bengt
28
2011
Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. Zbl 0932.65109
Boyd, John P.; Flyer, Natasha
25
1999
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
24
2008
On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012
Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt
23
2019
Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128
Flyer, Natasha; Lehto, Erik
22
2010
A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099
Fornberg, Bengt; Flyer, Natasha
21
2011
Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042
Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M.
19
2010
Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079
Flyer, Natasha; Fornberg, Bengt
19
2003
The convergence of spectral and finite difference methods for initial-boundary value problems. Zbl 1006.65100
Flyer, Natasha; Swarztrauber, Paul N.
17
2002
A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014
Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha
15
2015
Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013
Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile
14
2008
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
11
2009
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472
Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt
10
2018
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Zbl 1154.41015
Flyer, N.
9
2006
On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017
Flyer, Natasha; Fornberg, Bengt
8
2003
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. Zbl 07505604
Gunderman, David; Flyer, Natasha; Fornberg, Bengt
7
2020
Interpolating fields of carbon monoxide data using a hybrid statistical-physical model. Zbl 1168.62396
Malmberg, Anders; Arellano, Avelino; Edwards, David P.; Flyer, Natasha; Nychka, Doug; Wikle, Christopher
4
2008
Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. Zbl 0915.42019
Flyer, Natasha
2
1998
A penalty method for numerically handling dispersive equations with incompatible initial and boundary data. Zbl 1250.65124
Flyer, Natasha; Qin, Zhen; Temam, Roger
2
2012
Solving 3D magnetohydrostatics with RBF-FD: applications to the solar corona. Zbl 07536725
Mathews, Nathaniel H.; Flyer, Natasha; Gibson, Sarah E.
1
2022
Fast high-dimensional node generation with variable density. Zbl 1524.65078
Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt
1
2018
Solving 3D magnetohydrostatics with RBF-FD: applications to the solar corona. Zbl 07536725
Mathews, Nathaniel H.; Flyer, Natasha; Gibson, Sarah E.
1
2022
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. Zbl 07505604
Gunderman, David; Flyer, Natasha; Fornberg, Bengt
7
2020
On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012
Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt
23
2019
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472
Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt
10
2018
Fast high-dimensional node generation with variable density. Zbl 1524.65078
Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt
1
2018
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144
Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A.
80
2017
On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642
Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A.
80
2016
Enhancing finite differences with radial basis functions: experiments on the Navier-Stokes equations. Zbl 1349.76460
Flyer, Natasha; Barnett, Gregory A.; Wicker, Louis J.
57
2016
A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001
Fornberg, Bengt; Flyer, Natasha
133
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
118
2015
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413
Fornberg, Bengt; Flyer, Natasha
31
2015
A scalable RBF-FD method for atmospheric flow. Zbl 1349.86014
Tillenius, Martin; Larsson, Elisabeth; Lehto, Erik; Flyer, Natasha
15
2015
A guide to RBF-generated finite differences for nonlinear transport: shallow water simulations on a sphere. Zbl 1394.76078
Flyer, Natasha; Lehto, Erik; Blaise, Sébastien; Wright, Grady B.; St-Cyr, Amik
79
2012
A penalty method for numerically handling dispersive equations with incompatible initial and boundary data. Zbl 1250.65124
Flyer, Natasha; Qin, Zhen; Temam, Roger
2
2012
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
178
2011
Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078
Flyer, Natasha; Fornberg, Bengt
28
2011
A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099
Fornberg, Bengt; Flyer, Natasha
21
2011
Rotational transport on a sphere: local node refinement with radial basis functions. Zbl 1303.76128
Flyer, Natasha; Lehto, Erik
22
2010
Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042
Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M.
19
2010
A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664
Flyer, Natasha; Wright, Grady B.
68
2009
A semi-analytical numerical method for solving evolution and elliptic partial differential equations. Zbl 1170.65079
Fokas, A. S.; Flyer, N.; Smitheman, S. A.; Spence, E. A.
11
2009
A hybrid analytical-numerical method for solving evolution partial differential equations. I. The half-line. Zbl 1156.65089
Flyer, N.; Fokas, A. S.
24
2008
Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013
Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile
14
2008
Interpolating fields of carbon monoxide data using a hybrid statistical-physical model. Zbl 1168.62396
Malmberg, Anders; Arellano, Avelino; Edwards, David P.; Flyer, Natasha; Nychka, Doug; Wikle, Christopher
4
2008
Transport schemes on a sphere using radial basis functions. Zbl 1124.65097
Flyer, Natasha; Wright, Grady B.
56
2007
Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices. Zbl 1154.41015
Flyer, N.
9
2006
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
38
2005
Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079
Flyer, Natasha; Fornberg, Bengt
19
2003
On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017
Flyer, Natasha; Fornberg, Bengt
8
2003
The convergence of spectral and finite difference methods for initial-boundary value problems. Zbl 1006.65100
Flyer, Natasha; Swarztrauber, Paul N.
17
2002
Compatibility conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods. Zbl 0932.65109
Boyd, John P.; Flyer, Natasha
25
1999
Asymptotic upper bounds for the coefficients in the Chebyshev series expansion for a general order integral of a function. Zbl 0915.42019
Flyer, Natasha
2
1998
all top 5

Cited by 882 Authors

31 Fornberg, Bengt
21 Dehghan Takht Fooladi, Mehdi
21 Flyer, Natasha
21 Wright, Grady B.
20 Fokas, Athanassios S.
17 Boyd, John Philip
14 Larsson, Elisabeth
13 Kindelan, Manuel Segura
13 Shankar, Varun
12 Bayona, Victor
12 Cavoretto, Roberto
11 De Marchi, Stefano
11 Perracchione, Emma
9 Abbaszadeh, Mostafa
9 Davydov, Oleg V.
9 De Rossi, Alessandra
9 Fasshauer, Gregory E.
9 González-Rodríguez, Pedro
9 Ling, Leevan
8 Feng, Xinlong
8 Heryudono, Alfa R. H.
8 Kazem, Saeed
8 Moscoso, Miguel
8 Santin, Gabriele
7 Esmaeilbeigi, Mohsen
7 Piret, Cécile
7 Rad, Jamal Amani
7 Šarler, Božidar
7 Wendland, Holger
6 Glaubitz, Jan
6 Kirby, Robert M. II
6 Lehto, Erik
6 Mirzaei, Davoud
6 Mohammadi, Vahid
6 Power, Henry
6 Reeger, Jonah A.
6 Schaback, Robert
6 Temam, Roger Meyer
5 Colbrook, Matthew J.
5 Fogelson, Aaron L.
5 Fuselier, Edward J.
5 Jafarabadi, Ahmad
5 Mai-Duy, Nam
5 Mantzavinos, Dionyssios
5 Mavrič, Boštjan
5 Öffner, Philipp
5 Sarra, Scott A.
5 Shivanian, Elyas
5 von Sydow, Lina
5 Xiao, Xufeng
5 Zheng, Hui
4 Álvarez, Diego
4 Ashton, Anthony C. L.
4 Ballestra, Luca Vincenzo
4 Chatrabgoun, Omid
4 Chen, Ching-Shyang
4 Fryklund, Fredrik
4 Hesthaven, Jan S.
4 Kalimeris, Konstantinos
4 Kosec, Gregor
4 Li, Jichun
4 Milovanović, Slobodan
4 Mishra, Pankaj Kumar
4 Nikan, Omid
4 Oanh, Dang Thi
4 Parand, Kourosh
4 Shcherbakov, Victor
4 Soleymani, Fazlollah
4 Tominec, Igor
4 Tran-Cong, Thanh
3 Antunes, Pedro Ricardo Simão
3 Barnett, Gregory A.
3 Bihlo, Alexander
3 Bosler, Peter A.
3 Chen, Meng
3 Drake, Kathryn P.
3 Farshadmoghadam, Farnaz
3 Ferreira, António Joaquim Mendes
3 Filelis-Papadopoulos, Christos K.
3 González-Casanova, Pedro
3 Gracia, José Luis
3 Gravvanis, George A.
3 Grylonakis, Eleftherios-Nektarios G.
3 Haasdonk, Bernard
3 Haghi, Majid
3 Harlim, John
3 He, Yinnian
3 Hon, Yiu-Chung
3 Jäger, Janin
3 Jung, Jae-Hun
3 Karageorghis, Andreas
3 King, J. R. C.
3 Kuberry, Paul Allen
3 Kumar, Sushil
3 Le Borne, Sabine
3 Levesley, Jeremy
3 Li, Xinxiang
3 Lind, Steven J.
3 Marchetti, Francesco
3 Mollapourasl, Reza
...and 782 more Authors
all top 5

Cited in 125 Serials

95 Journal of Computational Physics
63 Engineering Analysis with Boundary Elements
44 Computers & Mathematics with Applications
43 Journal of Scientific Computing
34 SIAM Journal on Scientific Computing
24 Journal of Computational and Applied Mathematics
23 Applied Mathematics and Computation
22 Applied Numerical Mathematics
13 Advances in Computational Mathematics
11 Numerical Methods for Partial Differential Equations
11 Applied Mathematical Modelling
8 Numerische Mathematik
8 Computational and Applied Mathematics
7 Computer Methods in Applied Mechanics and Engineering
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Communications in Nonlinear Science and Numerical Simulation
6 BIT
6 International Journal of Computer Mathematics
5 Computers and Fluids
4 Journal of Approximation Theory
4 Mathematics and Computers in Simulation
4 SIAM Journal on Numerical Analysis
4 Studies in Applied Mathematics
4 Applied Mathematics Letters
4 SIAM Journal on Matrix Analysis and Applications
4 European Journal of Applied Mathematics
4 Numerical Algorithms
4 International Journal of Computational Methods
4 Inverse Problems in Science and Engineering
3 Mathematics of Computation
3 International Journal for Numerical Methods in Engineering
3 Journal of Nonlinear Mathematical Physics
3 The Annals of Applied Statistics
3 Mathematical Sciences
3 International Journal of Applied and Computational Mathematics
2 Communications in Mathematical Physics
2 Computer Physics Communications
2 Calcolo
2 Quarterly of Applied Mathematics
2 Computational Mechanics
2 Journal of Economic Dynamics & Control
2 Computational Mathematics and Mathematical Physics
2 Mathematical Problems in Engineering
2 Computational Geosciences
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Journal of Numerical Mathematics
2 Computational Methods and Function Theory
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 Communications in Computational Physics
2 Discrete and Continuous Dynamical Systems. Series S
2 Advances in Applied Mathematics and Mechanics
2 GEM - International Journal on Geomathematics
2 Journal of Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Physica A
1 Physics Letters. A
1 Wave Motion
1 The Annals of Statistics
1 Meccanica
1 Memoirs of the American Mathematical Society
1 Moscow University Computational Mathematics and Cybernetics
1 Optimal Control Applications & Methods
1 Systems & Control Letters
1 Acta Applicandae Mathematicae
1 Journal of Computational Mathematics
1 Acta Mathematicae Applicatae Sinica. English Series
1 Constructive Approximation
1 Machine Learning
1 Journal of Global Optimization
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Automation and Remote Control
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Computational Optimization and Applications
1 Test
1 Numerical Linear Algebra with Applications
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of the Egyptian Mathematical Society
1 Applied Mathematical Finance
1 Bernoulli
1 Discrete and Continuous Dynamical Systems
1 Vietnam Journal of Mathematics
1 Positivity
1 Journal of Applied Mechanics and Technical Physics
1 Chaos
...and 25 more Serials
all top 5

Cited in 36 Fields

514 Numerical analysis (65-XX)
225 Partial differential equations (35-XX)
101 Approximations and expansions (41-XX)
100 Fluid mechanics (76-XX)
32 Mechanics of deformable solids (74-XX)
31 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Geophysics (86-XX)
17 Statistics (62-XX)
17 Biology and other natural sciences (92-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
14 Integral equations (45-XX)
14 Probability theory and stochastic processes (60-XX)
14 Classical thermodynamics, heat transfer (80-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Computer science (68-XX)
10 Optics, electromagnetic theory (78-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Functions of a complex variable (30-XX)
9 Special functions (33-XX)
9 Ordinary differential equations (34-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Real functions (26-XX)
7 Operations research, mathematical programming (90-XX)
6 Quantum theory (81-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
4 Systems theory; control (93-XX)
4 Information and communication theory, circuits (94-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)

Citations by Year

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