Edit Profile (opens in new tab) Hale, Nicholas Co-Author Distance Author ID: hale.nicholas Published as: Hale, Nicholas Documents Indexed: 16 Publications since 2008 Co-Authors: 11 Co-Authors with 15 Joint Publications 384 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 386 times in 336 Documents Cited by ▼ Year ▼ An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 124 2012 Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N. 75 2008 Fast and accurate computation of Gauss-Legendre and Gauss-Jacobi quadrature nodes and weights. Zbl 1270.65017Hale, Nicholas; Townsend, Alex 62 2013 Rectangular spectral collocation. Zbl 1334.65119Driscoll, Tobin A.; Hale, Nicholas 23 2016 New quadrature formulas from conformal maps. Zbl 1173.65020Hale, Nicholas; Trefethen, Lloyd N. 18 2008 A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula. Zbl 1290.65018Hale, Nicholas; Townsend, Alex 18 2014 Conformal maps to multiply slit domains and applications. Zbl 1195.30011Hale, Nicholas; Tee, T. Wynn 16 2009 Chebfun and numerical quadrature. Zbl 1257.41018Hale, Nicholas; Trefethen, Lloyd N. 16 2012 A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124Hale, Nicholas; Olver, Sheehan 7 2018 An algorithm for the convolution of Legendre series. Zbl 1296.33010Hale, Nicholas; Townsend, Alex 6 2014 The ultraspherical spectral element method. Zbl 07513834Fortunato, Daniel; Hale, Nicholas; Townsend, Alex 6 2021 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 4 2016 An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204Hale, Nicholas 4 2019 Contour integral solution of elliptic PDEs in cylindrical domains. Zbl 1327.65042Hale, Nicholas; Weideman, J. A. C. 2 2015 The ultraspherical spectral element method. Zbl 07513834Fortunato, Daniel; Hale, Nicholas; Townsend, Alex 6 2021 An ultraspherical spectral method for linear Fredholm and Volterra integro-differential equations of convolution type. Zbl 1464.65204Hale, Nicholas 4 2019 A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. Zbl 1397.65124Hale, Nicholas; Olver, Sheehan 7 2018 Rectangular spectral collocation. Zbl 1334.65119Driscoll, Tobin A.; Hale, Nicholas 23 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 4 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 18 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 62 2013 An efficient implicit FEM scheme for fractional-in-space reaction-diffusion equations. Zbl 1253.65146Burrage, Kevin; Hale, Nicholas; Kay, David 124 2012 Chebfun and numerical quadrature. Zbl 1257.41018Hale, Nicholas; Trefethen, Lloyd N. 16 2012 Conformal maps to multiply slit domains and applications. Zbl 1195.30011Hale, Nicholas; Tee, T. Wynn 16 2009 Computing \(A^\alpha, \log(A)\), and related matrix functions by contour integrals. Zbl 1176.65053Hale, Nicholas; Higham, Nicholas J.; Trefethen, Lloyd N. 75 2008 New quadrature formulas from conformal maps. Zbl 1173.65020Hale, Nicholas; Trefethen, Lloyd N. 18 2008 all cited Publications top 5 cited Publications all top 5 Cited by 538 Authors 10 Xiang, Shuhuang 8 Novati, Paolo 8 Olver, Sheehan Shakiban 8 Vabishchevich, Pëtr Nikolaevich 7 Chen, Hao 7 Townsend, Alex 6 Aceto, Lidia 6 Khaliq, Abdul Q. M. 6 Trefethen, Lloyd Nicholas 6 Wang, Yuanming 5 Burrage, Kevin 5 Gil, Amparo 5 Huybrechs, Daan 5 Segura, Javier 5 Slevinsky, Richard Mikaël 5 Temme, Nico M. 5 Wu, Shulin 4 Bremer, James C. 4 Gutleb, Timon S. 4 Hale, Nicholas 4 Liu, Fawang 4 Liu, Guidong 4 Lu, Jianfeng 4 Lui, Lok Ming 4 Nakatsukasa, Yuji 4 Popolizio, Marina 4 Ren, Lei 4 Wang, Hong 4 Yang, Qianqian 3 Adcock, Ben 3 Alzahrani, S. S. 3 Bertaccini, Daniele 3 Colbrook, Matthew J. 3 Durastante, Fabio 3 Dyachenko, Sergey A. 3 Frommer, Andreas 3 Garrappa, Roberto 3 Gu, Xianfeng 3 Jafarabadi, Ahmad 3 Jiang, Xiaoyun 3 Kazmi, Kamran 3 Kuchta, Miroslav 3 Li, Hong 3 Liu, Yang 3 Lorin, Emmanuel 3 Lü, Wen 3 Mardal, Kent-Andre 3 Moroney, Timothy J. 3 Platte, Rodrigo B. 3 Schweitzer, Marcel 3 Shivanian, Elyas 3 Sun, Haiwei 3 Szyld, Daniel B. 3 Tang, Xiaojun 3 Turner, Ian William 3 Xu, Kuan 3 Yan, Yubin 2 Antoine, Xavier 2 Area, Iván 2 Aune, Erlend 2 Aurentz, Jared Lee 2 Barnett, Alex H. 2 Beck, Thomas L. 2 Benzi, Michele 2 Bueno-Orovio, Alfonso 2 Carrillo de la Plata, José Antonio 2 Chen, Tyler 2 De Marchi, Stefano 2 Dehghan Takht Fooladi, Mehdi 2 Dimitrov, Dimitar K. 2 Duo, Siwei 2 Eidsvik, Jo 2 Fu, Hongfei 2 Furati, Khaled M. 2 Greenbaum, Anne 2 Güttel, Stefan 2 Hashemi, Behnam 2 Heryudono, Alfa R. H. 2 Hur, Vera Mikyoung 2 Iannazzo, Bruno 2 Iyiola, Olaniyi Samuel 2 Karniadakis, George Em 2 Khan, Monzorul 2 Khoromskiĭ, Boris Nikolaevich 2 Kirchner, Kristin 2 Kong, Desong 2 Liu, Yanmei 2 Liu, Zhenbao 2 López-Fernández, María 2 Marzuola, Jeremy Louis 2 McCoid, Conor 2 Melenk, Jens Markus 2 Miyajima, Shinya 2 Moret, Igor 2 Mortensen, Mikael 2 Musco, Cameron 2 Musco, Christopher 2 Opsomer, Peter 2 Pearson, John W. 2 Piret, Cécile ...and 438 more Authors all top 5 Cited in 82 Serials 36 SIAM Journal on Scientific Computing 26 Journal of Computational Physics 23 Journal of Computational and Applied Mathematics 19 Numerical Algorithms 16 Journal of Scientific Computing 15 Computers & Mathematics with Applications 12 Applied Numerical Mathematics 10 Mathematics of Computation 10 Numerische Mathematik 10 SIAM Journal on Numerical Analysis 9 Applied Mathematics and Computation 9 International Journal of Computer Mathematics 8 SIAM Journal on Matrix Analysis and Applications 7 BIT 7 SIAM Review 6 Fractional Calculus & Applied Analysis 5 Chaos, Solitons and Fractals 5 Mathematics and Computers in Simulation 5 Advances in Computational Mathematics 4 Journal of Fluid Mechanics 4 Mathematical Methods in the Applied Sciences 4 Applied and Computational Harmonic Analysis 3 Calcolo 3 Linear Algebra and its Applications 3 Engineering Analysis with Boundary Elements 3 Advances in Applied Mathematics and Mechanics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Analysis and Applications 2 Automatica 2 Numerical Methods for Partial Differential Equations 2 ETNA. Electronic Transactions on Numerical Analysis 2 ELA. The Electronic Journal of Linear Algebra 2 Communications in Nonlinear Science and Numerical Simulation 2 Foundations of Computational Mathematics 2 Computational Methods in Applied Mathematics 2 Acta Numerica 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 Bulletin of Mathematical Biology 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 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Mathematical Modelling and Analysis 1 Quantitative Finance 1 Journal of Numerical Mathematics 1 Multiscale Modeling & Simulation 1 Advances in Difference Equations 1 Oberwolfach Reports 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 Applied Mathematics and Nonlinear Sciences 1 AIMS Mathematics 1 Pure and Applied Analysis 1 Cogent Mathematics & Statistics 1 Communications on Applied Mathematics and Computation 1 Advances in Continuous and Discrete Models all top 5 Cited in 44 Fields 297 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 44 Approximations and expansions (41-XX) 35 Real functions (26-XX) 26 Special functions (33-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 21 Fluid mechanics (76-XX) 19 Ordinary differential equations (34-XX) 15 Operator theory (47-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Integral equations (45-XX) 11 Probability theory and stochastic processes (60-XX) 11 Biology and other natural sciences (92-XX) 10 Functions of a complex variable (30-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 5 Integral transforms, operational calculus (44-XX) 5 Computer science (68-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Mechanics of particles and systems (70-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Potential theory (31-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-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 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year