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Author ID: hale.nicholas Recent zbMATH articles by "Hale, Nicholas"
Published as: Hale, Nicholas
Documents Indexed: 16 Publications since 2008
Co-Authors: 11 Co-Authors with 15 Joint Publications
371 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

15 Publications have been cited 315 times in 284 Documents Cited by Year
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
104
2012
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
68
2008
Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Zbl 1270.65017
Hale, Nicholas; Townsend, Alex
54
2013
A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula. Zbl 1290.65018
Hale, Nicholas; Townsend, Alex
16
2014
Rectangular spectral collocation. Zbl 1334.65119
Driscoll, Tobin A.; Hale, Nicholas
15
2016
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
13
2012
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
13
2008
Conformal maps to multiply slit domains and applications. Zbl 1195.30011
Hale, Nicholas; Tee, T. Wynn
11
2009
An algorithm for the convolution of Legendre series. Zbl 1296.33010
Hale, Nicholas; Townsend, Alex
6
2014
A fast FFT-based discrete Legendre transform. Zbl 1433.65342
Hale, Nicholas; Townsend, Alex
5
2016
A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124
Hale, Nicholas; Olver, Sheehan
3
2018
Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042
Hale, Nicholas; Weideman, J. A. C.
2
2015
Explicit construction of rectangular differentiation matrices. Zbl 1433.65148
Xu, Kuan; Hale, Nicholas
2
2016
An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204
Hale, Nicholas
2
2019
The ultraspherical spectral element method. Zbl 07513834
Fortunato, Daniel; Hale, Nicholas; Townsend, Alex
1
2021
The ultraspherical spectral element method. Zbl 07513834
Fortunato, Daniel; Hale, Nicholas; Townsend, Alex
1
2021
An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204
Hale, Nicholas
2
2019
A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124
Hale, Nicholas; Olver, Sheehan
3
2018
Rectangular spectral collocation. Zbl 1334.65119
Driscoll, Tobin A.; Hale, Nicholas
15
2016
A fast FFT-based discrete Legendre transform. Zbl 1433.65342
Hale, Nicholas; Townsend, Alex
5
2016
Explicit construction of rectangular differentiation matrices. Zbl 1433.65148
Xu, Kuan; Hale, Nicholas
2
2016
Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042
Hale, Nicholas; Weideman, J. A. C.
2
2015
A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula. Zbl 1290.65018
Hale, Nicholas; Townsend, Alex
16
2014
An algorithm for the convolution of Legendre series. Zbl 1296.33010
Hale, Nicholas; Townsend, Alex
6
2014
Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Zbl 1270.65017
Hale, Nicholas; Townsend, Alex
54
2013
An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146
Burrage, Kevin; Hale, Nicholas; Kay, David
104
2012
Chebfun and numerical quadrature. Zbl 1257.41018
Hale, Nicholas; Trefethen, Lloyd N.
13
2012
Conformal maps to multiply slit domains and applications. Zbl 1195.30011
Hale, Nicholas; Tee, T. Wynn
11
2009
Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053
Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N.
68
2008
New quadrature formulas from conformal maps. Zbl 1173.65020
Hale, Nicholas; Trefethen, Lloyd N.
13
2008
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Cited by 445 Authors

8 Novati, Paolo
8 Vabishchevich, Pëtr Nikolaevich
8 Xiang, Shuhuang
6 Aceto, Lidia
6 Khaliq, Abdul Q. M.
6 Olver, Sheehan Shakiban
6 Townsend, Alex
6 Wang, Yuanming
5 Gil, Amparo
5 Segura, Javier
5 Temme, Nico M.
5 Trefethen, Lloyd Nicholas
5 Wu, Shulin
4 Bremer, James C.
4 Burrage, Kevin
4 Hale, Nicholas
4 Huybrechs, Daan
4 Liu, Fawang
4 Liu, Guidong
4 Lu, Jianfeng
4 Lui, Lok Ming
4 Popolizio, Marina
4 Ren, Lei
4 Slevinsky, Richard Mikaël
4 Yang, Qianqian
3 Adcock, Ben
3 Alzahrani, S. S.
3 Bertaccini, Daniele
3 Durastante, Fabio
3 Frommer, Andreas
3 Garrappa, Roberto
3 Gu, Xianfeng
3 Jafarabadi, Ahmad
3 Kuchta, Miroslav
3 Lorin, Emmanuel
3 Lü, Wen
3 Mardal, Kent-Andre
3 Moroney, Timothy J.
3 Platte, Rodrigo B.
3 Shivanian, Elyas
3 Sun, Haiwei
3 Szyld, Daniel B.
3 Tang, Xiaojun
3 Turner, Ian William
3 Wang, Hong
3 Yan, Yubin
2 Antoine, Xavier
2 Area, Iván
2 Aune, Erlend
2 Aurentz, Jared Lee
2 Barnett, Alex H.
2 Benzi, Michele
2 Colbrook, Matthew J.
2 Dehghan Takht Fooladi, Mehdi
2 Dimitrov, Dimitar K.
2 Duo, Siwei
2 Dyachenko, Sergey A.
2 Eidsvik, Jo
2 Furati, Khaled M.
2 Gutleb, Timon S.
2 Güttel, Stefan
2 Heryudono, Alfa R. H.
2 Iannazzo, Bruno
2 Iyiola, Olaniyi Samuel
2 Jiang, Xiaoyun
2 Karniadakis, George Em
2 Kazmi, Kamran
2 Khan, Monzorul
2 Kirchner, Kristin
2 Liu, Yanmei
2 Liu, Zhenbao
2 López-Fernández, María
2 Melenk, Jens Markus
2 Moret, Igor
2 Mortensen, Mikael
2 Nakatsukasa, Yuji
2 Qi, Ya-E
2 Saad, Yousef
2 Safarpoor, Mansour
2 Saibaba, Arvind Krishna
2 Sauter, Stefan A.
2 Schweitzer, Marcel
2 Shen, Jie
2 Sheng, Changtao
2 Simoncini, Valeria
2 Song, Fangying
2 Thicke, Kyle
2 Tian, Yan
2 Van Barel, Marc
2 Wade, Bruce A.
2 Wang, Lilian
2 Xu, Chuanju
2 Xu, Kuan
2 Yang, Haizhao
2 Zaky, Mahmoud A.
2 Zhang, Guofeng
2 Zhang, Tongtong
2 Zhu, Muzheng
1 Achleitner, Franz
1 Acosta, Gabriel
...and 345 more Authors
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Cited in 76 Serials

31 SIAM Journal on Scientific Computing
20 Journal of Computational Physics
19 Numerical Algorithms
18 Journal of Computational and Applied Mathematics
14 Journal of Scientific Computing
12 Applied Numerical Mathematics
11 Computers & Mathematics with Applications
10 Numerische Mathematik
9 Mathematics of Computation
9 SIAM Journal on Numerical Analysis
7 SIAM Journal on Matrix Analysis and Applications
7 International Journal of Computer Mathematics
7 SIAM Review
6 BIT
6 Fractional Calculus & Applied Analysis
4 Mathematical Methods in the Applied Sciences
4 Chaos, Solitons and Fractals
4 Applied Mathematics and Computation
4 Mathematics and Computers in Simulation
4 Applied and Computational Harmonic Analysis
4 Advances in Computational Mathematics
3 Journal of Fluid Mechanics
3 Engineering Analysis with Boundary Elements
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Mathematical Analysis and Applications
2 Automatica
2 Calcolo
2 Numerical Methods for Partial Differential Equations
2 Linear Algebra and its Applications
2 ETNA. Electronic Transactions on Numerical Analysis
2 Foundations of Computational Mathematics
2 Advances in Applied Mathematics and Mechanics
2 Statistics and Computing
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Linear and Multilinear Algebra
1 Scandinavian Journal of Statistics
1 Proceedings of the American Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Computer Aided Geometric Design
1 Applied Mathematics Letters
1 The Annals of Applied Probability
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Computational Mathematics and Mathematical Physics
1 Journal of Statistical Computation and Simulation
1 SIAM Journal on Applied Mathematics
1 Electronic Journal of Differential Equations (EJDE)
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Journal of Computational Neuroscience
1 ELA. The Electronic Journal of Linear Algebra
1 Journal of Mathematical Chemistry
1 Mathematical Problems in Engineering
1 Mathematical Modelling and Analysis
1 Quantitative Finance
1 Computational Methods in Applied Mathematics
1 Journal of Numerical Mathematics
1 Multiscale Modeling & Simulation
1 Acta Numerica
1 Advances in Difference Equations
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 GAMM-Mitteilungen
1 Complex Variables and Elliptic Equations
1 Communications in Computational Physics
1 SIAM Journal on Imaging Sciences
1 Tbilisi Mathematical Journal
1 Advances in Mathematical Physics
1 Science China. Mathematics
1 Annales Mathématiques du Québec
1 Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 AMM. Applied Mathematics and Mechanics. (English Edition)
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 AIMS Mathematics
1 Cogent Mathematics & Statistics
1 Communications on Applied Mathematics and Computation
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Cited in 40 Fields

252 Numerical analysis (65-XX)
111 Partial differential equations (35-XX)
38 Approximations and expansions (41-XX)
25 Real functions (26-XX)
24 Special functions (33-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Ordinary differential equations (34-XX)
17 Fluid mechanics (76-XX)
14 Operator theory (47-XX)
11 Probability theory and stochastic processes (60-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
9 Functions of a complex variable (30-XX)
8 Integral equations (45-XX)
8 Biology and other natural sciences (92-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Statistics (62-XX)
5 Integral transforms, operational calculus (44-XX)
4 Computer science (68-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Systems theory; control (93-XX)
3 Mechanics of particles and systems (70-XX)
3 Optics, electromagnetic theory (78-XX)
2 Potential theory (31-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Geophysics (86-XX)
2 Information and communication theory, circuits (94-XX)
2 Mathematics education (97-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year