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Author ID: wright.grady-b Recent zbMATH articles by "Wright, Grady B."
Published as: Wright, Grady B.; Wright, G.; Wright, G. B.

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 1,249 times in 678 Documents Cited by Year
Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001
Fornberg, B.; Wright, G.
186
2004
Scattered node compact finite difference-type formulas generated from radial basis functions. Zbl 1089.65020
Wright, Grady B.; Fornberg, Bengt
150
2006
Some observations regarding interpolants in the limit of flat radial basis functions. Zbl 1048.41017
Fornberg, B.; Wright, G.; Larsson, E.
96
2004
Observations on the behavior of radial basis function approximations near boundaries. Zbl 0999.65005
Fornberg, B.; Driscoll, T. A.; Wright, G.; Charles, R.
86
2002
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
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
66
2015
Transport schemes on a sphere using radial basis functions. Zbl 1124.65097
Flyer, Natasha; Wright, Grady B.
56
2007
A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. Zbl 1275.65056
Fuselier, Edward J.; Wright, Grady B.
54
2013
Scattered data interpolation on embedded submanifolds with restricted positive definite kernels: Sobolev error estimates. Zbl 1251.41004
Fuselier, Edward; Wright, Grady B.
49
2012
Stable computations with flat radial basis functions using vector-valued rational approximations. Zbl 1378.65045
Wright, Grady B.; Fornberg, Bengt
42
2017
A radial basis function (RBF) compact finite difference (FD) scheme for reaction-diffusion equations on surfaces. Zbl 1371.41018
Lehto, Erik; Shankar, Varun; Wright, Grady B.
38
2017
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
25
2015
Localized bases for kernel spaces on the unit sphere. Zbl 1284.41002
Fuselier, E.; Hangelbroek, T.; Narcowich, F. J.; Ward, J. D.; Wright, G. B.
24
2013
A new class of oscillatory radial basis functions. Zbl 1161.41304
Fornberg, B.; Larsson, E.; Wright, G.
22
2006
Computing with functions in spherical and polar geometries. I. The sphere. Zbl 1342.65083
Townsend, Alex; Wilber, Heather; Wright, Grady B.
21
2016
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. Zbl 1406.65099
Shankar, Varun; Wright, Grady B.
21
2018
Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. Zbl 1203.41002
Fuselier, Edward J.; Wright, Grady B.
18
2009
Divergence-free RBFs on surfaces. Zbl 1134.65015
Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B.
15
2007
Kernel based quadrature on spheres and other homogeneous spaces. Zbl 1302.65065
Fuselier, E.; Hangelbroek, T.; Narcowich, F. J.; Ward, J. D.; Wright, G. B.
15
2014
Order-preserving derivative approximation with periodic radial basis functions. Zbl 1311.41002
Fuselier, Edward; Wright, Grady B.
12
2015
Computing with functions in spherical and polar geometries. II: The disk. Zbl 1368.65026
Wilber, Heather; Townsend, Alex; Wright, Grady B.
11
2017
Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Zbl 1223.76052
Fuselier, Edward J.; Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B.
11
2009
A radial basis function method for computing Helmholtz-Hodge decompositions. Zbl 1433.65320
Fuselier, Edward J.; Wright, Grady B.
10
2017
A robust hyperviscosity formulation for stable RBF-FD discretizations of advection-diffusion-reaction equations on manifolds. Zbl 1478.65098
Shankar, Varun; Wright, Grady B.; Narayan, Akil
10
2020
A study of different modeling choices for simulating platelets within the immersed boundary method. Zbl 1426.76568
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
10
2013
A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method. Zbl 1455.65136
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
10
2014
An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037
Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L.
9
2008
A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations. Zbl 1390.76646
Fuselier, Edward J.; Shankar, Varun; Wright, Grady B.
8
2016
Fast multilevel evaluation of smooth radial basis function expansions. Zbl 1112.65012
Livne, Oren E.; Wright, Grady B.
4
2006
A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143
Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L.
4
2011
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. Zbl 07515874
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.
4
2021
A partition of unity method for divergence-free or curl-free radial basis function approximation. Zbl 1512.65031
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B.
4
2021
Augmenting the immersed boundary method with radial basis functions (RBFs) for the modeling of platelets in hemodynamic flows. Zbl 1455.76218
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
4
2015
A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation. Zbl 1437.65251
Drake, Kathryn P.; Wright, Grady B.
2
2020
Implicit surface reconstruction with a curl-free radial basis function partition of unity method. Zbl 1516.41001
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B.
2
2022
A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Zbl 1163.76031
Du, Jian; Fogelson, Aaron L.; Wright, Grady B.
1
2009
A stable algorithm for divergence-free radial basis functions in the flat limit. Zbl 1437.65009
Drake, Kathryn P.; Wright, Grady B.
1
2020
MGM: a meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. Zbl 1512.65249
Wright, Grady B.; Jones, Andrew; Shankar, Varun
1
2023
MGM: a meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. Zbl 1512.65249
Wright, Grady B.; Jones, Andrew; Shankar, Varun
1
2023
Implicit surface reconstruction with a curl-free radial basis function partition of unity method. Zbl 1516.41001
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B.
2
2022
An efficient high-order meshless method for advection-diffusion equations on time-varying irregular domains. Zbl 07515874
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.
4
2021
A partition of unity method for divergence-free or curl-free radial basis function approximation. Zbl 1512.65031
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B.
4
2021
A robust hyperviscosity formulation for stable RBF-FD discretizations of advection-diffusion-reaction equations on manifolds. Zbl 1478.65098
Shankar, Varun; Wright, Grady B.; Narayan, Akil
10
2020
A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation. Zbl 1437.65251
Drake, Kathryn P.; Wright, Grady B.
2
2020
A stable algorithm for divergence-free radial basis functions in the flat limit. Zbl 1437.65009
Drake, Kathryn P.; Wright, Grady B.
1
2020
Mesh-free semi-Lagrangian methods for transport on a sphere using radial basis functions. Zbl 1406.65099
Shankar, Varun; Wright, Grady B.
21
2018
Stable computations with flat radial basis functions using vector-valued rational approximations. Zbl 1378.65045
Wright, Grady B.; Fornberg, Bengt
42
2017
A radial basis function (RBF) compact finite difference (FD) scheme for reaction-diffusion equations on surfaces. Zbl 1371.41018
Lehto, Erik; Shankar, Varun; Wright, Grady B.
38
2017
Computing with functions in spherical and polar geometries. II: The disk. Zbl 1368.65026
Wilber, Heather; Townsend, Alex; Wright, Grady B.
11
2017
A radial basis function method for computing Helmholtz-Hodge decompositions. Zbl 1433.65320
Fuselier, Edward J.; Wright, Grady B.
10
2017
Computing with functions in spherical and polar geometries. I. The sphere. Zbl 1342.65083
Townsend, Alex; Wilber, Heather; Wright, Grady B.
21
2016
A high-order radial basis function (RBF) Leray projection method for the solution of the incompressible unsteady Stokes equations. Zbl 1390.76646
Fuselier, Edward J.; Shankar, Varun; Wright, Grady B.
8
2016
A radial basis function (RBF)-finite difference (FD) method for diffusion and reaction-diffusion equations on surfaces. Zbl 1319.65079
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
66
2015
Extension of Chebfun to periodic functions. Zbl 1348.42003
Wright, Grady B.; Javed, Mohsin; Montanelli, Hadrien; Trefethen, Lloyd N.
25
2015
Order-preserving derivative approximation with periodic radial basis functions. Zbl 1311.41002
Fuselier, Edward; Wright, Grady B.
12
2015
Augmenting the immersed boundary method with radial basis functions (RBFs) for the modeling of platelets in hemodynamic flows. Zbl 1455.76218
Shankar, Varun; Wright, Grady B.; Kirby, Robert M.; Fogelson, Aaron L.
4
2015
Kernel based quadrature on spheres and other homogeneous spaces. Zbl 1302.65065
Fuselier, E.; Hangelbroek, T.; Narcowich, F. J.; Ward, J. D.; Wright, G. B.
15
2014
A radial basis function (RBF) finite difference method for the simulation of reaction-diffusion equations on stationary platelets within the augmented forcing method. Zbl 1455.65136
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
10
2014
A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. Zbl 1275.65056
Fuselier, Edward J.; Wright, Grady B.
54
2013
Localized bases for kernel spaces on the unit sphere. Zbl 1284.41002
Fuselier, E.; Hangelbroek, T.; Narcowich, F. J.; Ward, J. D.; Wright, G. B.
24
2013
A study of different modeling choices for simulating platelets within the immersed boundary method. Zbl 1426.76568
Shankar, Varun; Wright, Grady B.; Fogelson, Aaron L.; Kirby, Robert M.
10
2013
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
Scattered data interpolation on embedded submanifolds with restricted positive definite kernels: Sobolev error estimates. Zbl 1251.41004
Fuselier, Edward; Wright, Grady B.
49
2012
A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics. Zbl 1282.76143
Wright, Grady B.; Guy, Robert D.; Du, Jian; Fogelson, Aaron L.
4
2011
A radial basis function method for the shallow water equations on a sphere. Zbl 1186.76664
Flyer, Natasha; Wright, Grady B.
68
2009
Stability and error estimates for vector field interpolation and decomposition on the sphere with RBFs. Zbl 1203.41002
Fuselier, Edward J.; Wright, Grady B.
18
2009
Error and stability estimates for surface-divergence free RBF interpolants on the sphere. Zbl 1223.76052
Fuselier, Edward J.; Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B.
11
2009
A parallel computational method for simulating two-phase gel dynamics on a staggered grid. Zbl 1163.76031
Du, Jian; Fogelson, Aaron L.; Wright, Grady B.
1
2009
An efficient and robust method for simulating two-phase gel dynamics. Zbl 1171.76037
Wright, Grady B.; Guy, Robert D.; Fogelson, Aaron L.
9
2008
Transport schemes on a sphere using radial basis functions. Zbl 1124.65097
Flyer, Natasha; Wright, Grady B.
56
2007
Divergence-free RBFs on surfaces. Zbl 1134.65015
Narcowich, Francis J.; Ward, Joseph D.; Wright, Grady B.
15
2007
Scattered node compact finite difference-type formulas generated from radial basis functions. Zbl 1089.65020
Wright, Grady B.; Fornberg, Bengt
150
2006
A new class of oscillatory radial basis functions. Zbl 1161.41304
Fornberg, B.; Larsson, E.; Wright, G.
22
2006
Fast multilevel evaluation of smooth radial basis function expansions. Zbl 1112.65012
Livne, Oren E.; Wright, Grady B.
4
2006
Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001
Fornberg, B.; Wright, G.
186
2004
Some observations regarding interpolants in the limit of flat radial basis functions. Zbl 1048.41017
Fornberg, B.; Wright, G.; Larsson, E.
96
2004
Observations on the behavior of radial basis function approximations near boundaries. Zbl 0999.65005
Fornberg, B.; Driscoll, T. A.; Wright, G.; Charles, R.
86
2002
all top 5

Cited by 917 Authors

34 Dehghan Takht Fooladi, Mehdi
26 Fornberg, Bengt
26 Wright, Grady B.
25 Ling, Leevan
17 Kindelan, Manuel Segura
16 Abbaszadeh, Mostafa
15 Power, Henry
14 Bayona, Victor
14 Flyer, Natasha
14 Larsson, Elisabeth
14 Shankar, Varun
12 Fasshauer, Gregory E.
12 Mohammadi, Vahid
10 Boyd, John Philip
10 Mirzaei, Davoud
9 Feng, Xinlong
9 Fogelson, Aaron L.
9 Moscoso, Miguel
9 Narcowich, Francis J.
9 Nikan, Omid
9 Schaback, Robert
9 Townsend, Alex
9 Ward, Joseph Dinneen
8 Chen, Ching-Shyang
8 Chen, Meng
8 Golbabai, Ahmad
8 Kumar, Alpesh
8 Mai-Duy, Nam
7 Avazzadeh, Zakieh
7 De Marchi, Stefano
7 Fuselier, Edward J.
7 Gao, Wenwu
7 González-Rodríguez, Pedro
7 Kadalbajoo, Mohan K.
7 Kansa, Edward J.
7 Kazem, Saeed
7 Mohebbi, Akbar
7 Piret, Cécile
7 Sun, Zhengjie
7 Tripathi, Lok Pati
6 Heryudono, Alfa R. H.
6 Jung, Jae-Hun
6 Kirby, Robert M. II
6 Montanelli, Hadrien
6 Perracchione, Emma
6 Rad, Jamal Amani
6 Rashidinia, Jalil
6 Sarra, Scott A.
6 Tran-Cong, Thanh
6 Wendland, Holger
6 Xiao, Xufeng
6 Zhang, Shengliang
5 Chandhini, G.
5 Cheng, Alexander H.-D.
5 Cheung, Ka Chun
5 Driscoll, Tobin A.
5 Hangelbroek, Thomas C.
5 Haq, Sirajul
5 Hesthaven, Jan S.
5 Karageorghis, Andreas
5 Lehto, Erik
5 Machado, José António Tenreiro
5 Morvan, Herve
5 Narayan, Akil C.
5 Platte, Rodrigo B.
5 Roque, C. M. C.
5 Santin, Gabriele
5 Sanyasiraju, Y. V. S. S.
5 Uddin, Marjan
5 Zheng, Hui
4 Ballestra, Luca Vincenzo
4 Bernal, Francisco
4 Caruso, Nahuel D.
4 Cavoretto, Roberto
4 Davydov, Oleg V.
4 Drake, Kathryn P.
4 Florez, Whady Felipe
4 Glaubitz, Jan
4 Harlim, John
4 Jiang, Shixiao Willing
4 Lees, Michael Harold
4 Liu, Xiaoyan
4 Maier, Lars-Benjamin
4 Marchetti, Francesco
4 Mishra, Pankaj Kumar
4 Parand, Kourosh
4 Rowe, Stephen T.
4 Ruuth, Steven J.
4 Shu, Chang
4 Soleymani, Fazlollah
4 Trask, Nathaniel A.
4 Wilber, Heather
4 Wu, Nan-Jing
4 Zhang, Chuanzeng
3 Álvarez, Diego
3 Bosler, Peter A.
3 Buhmann, Martin Dietrich
3 Bustamante, Carlos Andres
3 De Rossi, Alessandra
3 Ding, Hang
...and 817 more Authors
all top 5

Cited in 126 Serials

99 Journal of Computational Physics
86 Engineering Analysis with Boundary Elements
52 Computers & Mathematics with Applications
44 Journal of Scientific Computing
30 SIAM Journal on Scientific Computing
22 Applied Mathematics and Computation
22 Advances in Computational Mathematics
19 Applied Numerical Mathematics
17 Journal of Computational and Applied Mathematics
14 Computer Methods in Applied Mechanics and Engineering
14 Applied Mathematical Modelling
10 Communications in Nonlinear Science and Numerical Simulation
9 Numerical Algorithms
8 International Journal for Numerical Methods in Engineering
8 Journal of Approximation Theory
7 Computers and Fluids
7 SIAM Journal on Numerical Analysis
7 Constructive Approximation
7 Numerical Methods for Partial Differential Equations
7 International Journal of Computer Mathematics
6 BIT
6 Applied Mathematics Letters
5 Mathematics of Computation
5 Applied and Computational Harmonic Analysis
4 Mathematics and Computers in Simulation
4 Numerische Mathematik
4 SIAM Journal on Matrix Analysis and Applications
4 Computational and Applied Mathematics
4 International Journal of Applied and Computational Mathematics
3 International Journal for Numerical Methods in Fluids
3 SIAM Review
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Foundations of Computational Mathematics
3 International Journal of Computational Methods
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Advances in Applied Mathematics and Mechanics
3 Mathematical Sciences
2 Computer Physics Communications
2 Inverse Problems
2 Wave Motion
2 Bulletin of Mathematical Biology
2 Calcolo
2 Journal of Complexity
2 Computational Mechanics
2 Machine Learning
2 Computational Mathematics and Mathematical Physics
2 SIAM Journal on Applied Mathematics
2 ETNA. Electronic Transactions on Numerical Analysis
2 Bernoulli
2 The Journal of Fourier Analysis and Applications
2 Computational Geosciences
2 International Journal of Modern Physics C
2 Journal of Applied Mathematics
2 Communications in Computational Physics
2 Computational Methods for Differential Equations
1 Acta Mechanica
1 Communications on Pure and Applied Mathematics
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Physica A
1 Physics Reports
1 Chaos, Solitons and Fractals
1 Journal of the American Statistical Association
1 Mathematische Nachrichten
1 Meccanica
1 Studies in Applied Mathematics
1 Acta Mathematica Hungarica
1 Journal of Computational Mathematics
1 Physica D
1 Journal of Economic Dynamics & Control
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Statistical Computation and Simulation
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Imaging and Vision
1 Potential Analysis
1 Communications in Numerical Methods in Engineering
1 Theory of Probability and Mathematical Statistics
1 Numerical Linear Algebra with Applications
1 Journal of the Egyptian Mathematical Society
1 Applied Mathematical Finance
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Chaos
1 Fractional Calculus & Applied Analysis
1 Regular and Chaotic Dynamics
1 International Journal of Applied Mathematics and Computer Science
1 Engineering Computations
1 Combustion Theory and Modelling
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Computational Methods in Applied Mathematics
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Journal of Numerical Mathematics
...and 26 more Serials
all top 5

Cited in 41 Fields

568 Numerical analysis (65-XX)
200 Partial differential equations (35-XX)
137 Approximations and expansions (41-XX)
130 Fluid mechanics (76-XX)
34 Mechanics of deformable solids (74-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
22 Geophysics (86-XX)
20 Biology and other natural sciences (92-XX)
19 Probability theory and stochastic processes (60-XX)
15 Global analysis, analysis on manifolds (58-XX)
15 Classical thermodynamics, heat transfer (80-XX)
14 Statistical mechanics, structure of matter (82-XX)
12 Integral equations (45-XX)
11 Statistics (62-XX)
11 Computer science (68-XX)
10 Ordinary differential equations (34-XX)
9 Special functions (33-XX)
8 Functional analysis (46-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
7 Operator theory (47-XX)
7 Optics, electromagnetic theory (78-XX)
5 Real functions (26-XX)
5 Differential geometry (53-XX)
5 Quantum theory (81-XX)
4 Potential theory (31-XX)
4 Information and communication theory, circuits (94-XX)
3 Measure and integration (28-XX)
3 Functions of a complex variable (30-XX)
3 Operations research, mathematical programming (90-XX)
3 Systems theory; control (93-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Abstract harmonic analysis (43-XX)
2 Manifolds and cell complexes (57-XX)
2 Mechanics of particles and systems (70-XX)
1 Algebraic geometry (14-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year