Edit Profile (opens in new tab) Hale, Nicholas Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 1 single-authored 5 Townsend, Alex 3 Trefethen, Lloyd Nicholas 1 Burrage, Kevin 1 Chan, Tat Lung (Ron) 1 Driscoll, Tobin A. 1 Fortunato, Daniel 1 Higham, Nicholas J. 1 Olver, Sheehan Shakiban 1 Tee, T. Wynn 1 Weideman, J. André C. 1 Xu, Kuan all top 5 Serials 7 SIAM Journal on Scientific Computing 4 IMA Journal of Numerical Analysis 2 SIAM Journal on Numerical Analysis 1 Journal of Computational Physics 1 Quantitative Finance 1 Science China. Mathematics all top 5 Fields 13 Numerical analysis (65-XX) 4 Special functions (33-XX) 4 Partial differential equations (35-XX) 4 Approximations and expansions (41-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 104 2012 Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N. 68 2008 Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Zbl 1270.65017Hale, Nicholas; Townsend, Alex 54 2013 A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula. Zbl 1290.65018Hale, Nicholas; Townsend, Alex 16 2014 Rectangular spectral collocation. Zbl 1334.65119Driscoll, Tobin A.; Hale, Nicholas 15 2016 Chebfun and numerical quadrature. Zbl 1257.41018Hale, Nicholas; Trefethen, Lloyd N. 13 2012 New quadrature formulas from conformal maps. Zbl 1173.65020Hale, Nicholas; Trefethen, Lloyd N. 13 2008 Conformal maps to multiply slit domains and applications. Zbl 1195.30011Hale, Nicholas; Tee, T. Wynn 11 2009 An algorithm for the convolution of Legendre series. Zbl 1296.33010Hale, Nicholas; Townsend, Alex 6 2014 A fast FFT-based discrete Legendre transform. Zbl 1433.65342Hale, Nicholas; Townsend, Alex 5 2016 A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124Hale, Nicholas; Olver, Sheehan 3 2018 Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042Hale, Nicholas; Weideman, J. A. C. 2 2015 Explicit construction of rectangular differentiation matrices. Zbl 1433.65148Xu, Kuan; Hale, Nicholas 2 2016 An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204Hale, Nicholas 2 2019 The ultraspherical spectral element method. Zbl 07513834Fortunato, Daniel; Hale, Nicholas; Townsend, Alex 1 2021 The ultraspherical spectral element method. Zbl 07513834Fortunato, Daniel; Hale, Nicholas; Townsend, Alex 1 2021 An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204Hale, Nicholas 2 2019 A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124Hale, Nicholas; Olver, Sheehan 3 2018 Rectangular spectral collocation. Zbl 1334.65119Driscoll, Tobin A.; Hale, Nicholas 15 2016 A fast FFT-based discrete Legendre transform. Zbl 1433.65342Hale, Nicholas; Townsend, Alex 5 2016 Explicit construction of rectangular differentiation matrices. Zbl 1433.65148Xu, Kuan; Hale, Nicholas 2 2016 Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042Hale, Nicholas; Weideman, J. A. C. 2 2015 A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula. Zbl 1290.65018Hale, Nicholas; Townsend, Alex 16 2014 An algorithm for the convolution of Legendre series. Zbl 1296.33010Hale, Nicholas; Townsend, Alex 6 2014 Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Zbl 1270.65017Hale, Nicholas; Townsend, Alex 54 2013 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 104 2012 Chebfun and numerical quadrature. Zbl 1257.41018Hale, Nicholas; Trefethen, Lloyd N. 13 2012 Conformal maps to multiply slit domains and applications. Zbl 1195.30011Hale, Nicholas; Tee, T. Wynn 11 2009 Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N. 68 2008 New quadrature formulas from conformal maps. Zbl 1173.65020Hale, Nicholas; Trefethen, Lloyd N. 13 2008 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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