# zbMATH — the first resource for mathematics

## Barnett, Alex H.

Compute Distance To:
 Author ID: barnett.alex-h Published as: Barnett, A.; Barnett, A. H.; Barnett, Alex; Barnett, Alex H.; Barnett, Alexander Homepage: http://users.flatironinstitute.org/~ahb External Links: MGP · Wikidata
 Documents Indexed: 33 Publications since 1996, including 1 Book
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#### Co-Authors

 4 single-authored 5 Greengard, Leslie F. 4 Hassell, Andrew 4 Veerapaneni, Shravan Kumar 3 Betcke, Timo 3 Gillman, Adrianna 2 Marple, Gary R. 2 Martinsson, Per-Gunnar 2 Spivak, Marina 2 Wu, Bowei 2 Zhao, Lin 1 Andén, Joakim 1 Cohen, Doron 1 Epstein, Charles Lawrence 1 Gordon, Carolyn S. 1 Hao, Sijia 1 Heller, Eric J. 1 Jiang, Shidong 1 Klöckner, Andreas 1 Kobayashi, Motoki 1 Lai, Jun 1 Liu, Yuxiang 1 MacKay, David J. C. 1 Mahoney, J. Matthew 1 Moorcroft, Paul R. 1 Nelson, Bradley J. 1 O’Neil, Michael 1 Pataki, Andras 1 Perry, Peter A. 1 Rahimian, Abtin 1 Rangan, Aaditya V. 1 Tacy, Melissa 1 Uribe, Alejandro 1 Wang, Jun 1 Young, Patrick M. 1 Zhu, Hai 1 Zorin, Denis N.
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#### Serials

 9 Journal of Computational Physics 4 SIAM Journal on Scientific Computing 3 Communications on Pure and Applied Mathematics 3 BIT 3 SIAM Journal on Numerical Analysis 1 Inverse Problems 1 Journal of Mathematical Biology 1 Duke Mathematical Journal 1 Journal of Physics A: Mathematical and General 1 Advances in Computational Mathematics 1 Chaos 1 Proceedings of Symposia in Pure Mathematics 1 SIAM Journal on Imaging Sciences 1 Pure and Applied Analysis
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#### Fields

 27 Numerical analysis (65-XX) 17 Partial differential equations (35-XX) 7 Optics, electromagnetic theory (78-XX) 6 Fluid mechanics (76-XX) 5 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH

28 Publications have been cited 387 times in 255 Documents Cited by Year
Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains. Zbl 1170.65082
Barnett, A. H.; Betcke, T.
2008
Quadrature by expansion: a new method for the evaluation of layer potentials. Zbl 1349.65094
Klöckner, Andreas; Barnett, Alexander; Greengard, Leslie; O’Neil, Michael
2013
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. Zbl 1300.65093
Hao, S.; Barnett, A. H.; Martinsson, P. G.; Young, P.
2014
A new integral representation for quasi-periodic scattering problems in two dimensions. Zbl 1214.65061
Barnett, Alex; Greengard, Leslie
2011
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media. Zbl 1312.65201
Gillman, Adrianna; Barnett, Alex H.; Martinsson, Per-Gunnar
2015
An exponentially convergent nonpolynomial finite element method for time-harmonic scattering from polygons. Zbl 1216.65151
Barnett, A. H.; Betcke, T.
2010
Evaluation of layer potentials close to the boundary for Laplace and Helmholtz problems on analytic planar domains. Zbl 1298.65184
Barnett, Alex H.
2014
A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations. Zbl 1197.78025
Barnett, Alex; Greengard, Leslie
2010
Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations. Zbl 1433.65323
Barnett, Alex; Wu, Bowei; Veerapaneni, Shravan
2015
A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions. Zbl 1349.74208
Lai, Jun; Kobayashi, Motoki; Barnett, Alex
2015
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape. Zbl 1381.76229
Marple, Gary R.; Barnett, Alex; Gillman, Adrianna; Veerapaneni, Shravan
2016
Quantum mushroom billiards. Zbl 1163.37310
Barnett, Alex H.; Betcke, Timo
2007
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues. Zbl 1227.35224
Barnett, A. H.; Hassell, A.
2011
Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards. Zbl 1133.81022
Barnett, Alexander
2006
Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects. Zbl 1360.65297
Liu, Yuxiang; Barnett, Alex H.
2016
Fast computation of high-frequency Dirichlet eigenmodes via spectral flow of the interior Neumann-to-Dirichlet map. Zbl 1288.65160
Barnett, Alex; Hassell, Andrew
2014
Robust and efficient solution of the drum problem via Nyström approximation of the Fredholm determinant. Zbl 1327.65230
Zhao, Lin; Barnett, Alex
2015
A fast direct solver for quasi-periodic scattering problems. Zbl 1349.78044
Gillman, A.; Barnett, A.
2013
Perturbative analysis of the method of particular solutions for improved inclusion of high-lying Dirichlet eigenvalues. Zbl 1195.35236
Barnett, A. H.
2009
A unified integral equation scheme for doubly periodic Laplace and Stokes boundary value problems in two dimensions. Zbl 1442.65451
Barnett, Alex H.; Marple, Gary R.; Veerapaneni, Shravan; Zhao, Lin
2018
Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion. Zbl 1395.65151
Rahimian, Abtin; Barnett, Alex; Zorin, Denis
2018
Rapid solution of the cryo-EM reconstruction problem by frequency marching. Zbl 1380.92036
Barnett, Alex; Greengard, Leslie; Pataki, Andras; Spivak, Marina
2017
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues. Zbl 1407.35087
Barnett, Alex H.; Hassell, Andrew; Tacy, Melissa
2018
Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis. Zbl 1141.92042
Barnett, Alex H.; Moorcroft, Paul R.
2008
High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium. Zbl 1349.76415
Barnett, Alex H.; Nelson, Bradley J.; Mahoney, J. Matthew
2015
Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them. Zbl 1317.35020
Hassell, Andrew; Barnett, Alex
2012
Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001
Barnett, Alex H. (ed.); Gordon, Carolyn S. (ed.); Perry, Peter A. (ed.); Uribe, Alejandro (ed.)
2012
A fast numerical method for time-resolved photon diffusion in general stratified turbid media. Zbl 1061.78003
Barnett, Alex H.
2004
A unified integral equation scheme for doubly periodic Laplace and Stokes boundary value problems in two dimensions. Zbl 1442.65451
Barnett, Alex H.; Marple, Gary R.; Veerapaneni, Shravan; Zhao, Lin
2018
Ubiquitous evaluation of layer potentials using quadrature by kernel-independent expansion. Zbl 1395.65151
Rahimian, Abtin; Barnett, Alex; Zorin, Denis
2018
Comparable upper and lower bounds for boundary values of Neumann eigenfunctions and tight inclusion of eigenvalues. Zbl 1407.35087
Barnett, Alex H.; Hassell, Andrew; Tacy, Melissa
2018
Rapid solution of the cryo-EM reconstruction problem by frequency marching. Zbl 1380.92036
Barnett, Alex; Greengard, Leslie; Pataki, Andras; Spivak, Marina
2017
A fast algorithm for simulating multiphase flows through periodic geometries of arbitrary shape. Zbl 1381.76229
Marple, Gary R.; Barnett, Alex; Gillman, Adrianna; Veerapaneni, Shravan
2016
Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects. Zbl 1360.65297
Liu, Yuxiang; Barnett, Alex H.
2016
A spectrally accurate direct solution technique for frequency-domain scattering problems with variable media. Zbl 1312.65201
Gillman, Adrianna; Barnett, Alex H.; Martinsson, Per-Gunnar
2015
Spectrally accurate quadratures for evaluation of layer potentials close to the boundary for the 2D Stokes and Laplace equations. Zbl 1433.65323
Barnett, Alex; Wu, Bowei; Veerapaneni, Shravan
2015
A fast and robust solver for the scattering from a layered periodic structure containing multi-particle inclusions. Zbl 1349.74208
Lai, Jun; Kobayashi, Motoki; Barnett, Alex
2015
Robust and efficient solution of the drum problem via Nyström approximation of the Fredholm determinant. Zbl 1327.65230
Zhao, Lin; Barnett, Alex
2015
High-order boundary integral equation solution of high frequency wave scattering from obstacles in an unbounded linearly stratified medium. Zbl 1349.76415
Barnett, Alex H.; Nelson, Bradley J.; Mahoney, J. Matthew
2015
High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane. Zbl 1300.65093
Hao, S.; Barnett, A. H.; Martinsson, P. G.; Young, P.
2014
Evaluation of layer potentials close to the boundary for Laplace and Helmholtz problems on analytic planar domains. Zbl 1298.65184
Barnett, Alex H.
2014
Fast computation of high-frequency Dirichlet eigenmodes via spectral flow of the interior Neumann-to-Dirichlet map. Zbl 1288.65160
Barnett, Alex; Hassell, Andrew
2014
Quadrature by expansion: a new method for the evaluation of layer potentials. Zbl 1349.65094
Klöckner, Andreas; Barnett, Alexander; Greengard, Leslie; O’Neil, Michael
2013
A fast direct solver for quasi-periodic scattering problems. Zbl 1349.78044
Gillman, A.; Barnett, A.
2013
Estimates on Neumann eigenfunctions at the boundary, and the “method of particular solutions” for computing them. Zbl 1317.35020
Hassell, Andrew; Barnett, Alex
2012
Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001
Barnett, Alex H. (ed.); Gordon, Carolyn S. (ed.); Perry, Peter A. (ed.); Uribe, Alejandro (ed.)
2012
A new integral representation for quasi-periodic scattering problems in two dimensions. Zbl 1214.65061
Barnett, Alex; Greengard, Leslie
2011
Boundary quasi-orthogonality and sharp inclusion bounds for large Dirichlet eigenvalues. Zbl 1227.35224
Barnett, A. H.; Hassell, A.
2011
An exponentially convergent nonpolynomial finite element method for time-harmonic scattering from polygons. Zbl 1216.65151
Barnett, A. H.; Betcke, T.
2010
A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations. Zbl 1197.78025
Barnett, Alex; Greengard, Leslie
2010
Perturbative analysis of the method of particular solutions for improved inclusion of high-lying Dirichlet eigenvalues. Zbl 1195.35236
Barnett, A. H.
2009
Stability and convergence of the method of fundamental solutions for Helmholtz problems on analytic domains. Zbl 1170.65082
Barnett, A. H.; Betcke, T.
2008
Analytic steady-state space use patterns and rapid computations in mechanistic home range analysis. Zbl 1141.92042
Barnett, Alex H.; Moorcroft, Paul R.
2008
Quantum mushroom billiards. Zbl 1163.37310
Barnett, Alex H.; Betcke, Timo
2007
Asymptotic rate of quantum ergodicity in chaotic Euclidean billiards. Zbl 1133.81022
Barnett, Alexander
2006
A fast numerical method for time-resolved photon diffusion in general stratified turbid media. Zbl 1061.78003
Barnett, Alex H.
2004
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#### Cited by 393 Authors

 15 Barnett, Alex H. 14 Greengard, Leslie F. 10 Nicholls, David P. 8 Gillman, Adrianna 8 Tornberg, Anna-Karin 8 Veerapaneni, Shravan Kumar 7 Antunes, Pedro Ricardo Simão 7 Bruno, Oscar P. 7 O’Neil, Michael 7 Rachh, Manas 6 Helsing, Johan 6 Hiptmair, Ralf 5 af Klinteberg, Ludvig 5 Askham, Travis 5 Klöckner, Andreas 5 Lai, Jun 5 Martinsson, Per-Gunnar 5 Pérez-Arancibia, Carlos 5 Quaife, Bryan D. 5 Turc, Catalin 5 Zepeda-Núñez, Leonardo 4 Alves, Carlos J. S. 4 Biros, George 4 Chen, Wen 4 Hao, Sijia 4 Hong, Youngjoon 4 Jiang, Shidong 4 Rokhlin, Vladimir 4 Valtchev, Svilen S. 3 Andén, Joakim 3 Bogoşel, Beniamin 3 Bremer, James C. 3 Cai, Wei 3 Cerfon, Antoine J. 3 Cho, Minhyung 3 Demanet, Laurent 3 Godinho, Luís M. C. 3 Hassell, Andrew 3 Huybrechs, Daan 3 Karlsson, Anders 3 Ladevèze, Pierre 3 Lesnic, Daniel 3 Li, Hao 3 Luan, Tian 3 Matsumoto, Toshiro 3 Moiola, Andrea 3 Perugia, Ilaria 3 Riou, Hervé 3 Serkh, Kirill 3 Sun, Yao 3 Trefethen, Lloyd Nicholas 3 Wala, Matt 3 Wu, Bowei 3 Zhao, Hongkai 2 Anand, Akash 2 Beams, Natalie N. 2 Bergen, Bart 2 Bin-Mohsin, Bandar 2 Borges, Carlos C. H. 2 Borges, Carlos R. 2 Carvalho, Camille 2 Casati, Daniele 2 Desmet, Wim 2 Dettmann, Carl P. 2 Fang, Jun 2 Faria, Luiz M. 2 Fernandez-Lado, Agustin G. 2 Fu, Zhuojia 2 Galkowski, Jeffrey 2 Gao, Haifeng 2 Gimbutas, Zydrunas 2 Han, Xiaolong 2 Henrot, Antoine 2 Hong, Yongxing 2 Isakari, Hiroshi 2 Jerez-Hanckes, Carlos 2 Karageorghis, Andreas 2 Khatri, Shilpa 2 Kim, Arnold D. 2 Kropinski, Mary Catherine A. 2 Lee, June-Yub 2 Ma, Fuming 2 Martins, Nuno F. M. 2 Monk, Peter B. 2 Moore, M. Nicholas J. 2 Niino, Kazuki 2 Nishimura, Naoshi 2 Oudet, Edouard 2 Pandey, Ambuj 2 Qian, Jianliang 2 Rahimian, Abtin 2 Sakakibara, Koya 2 Santiago, J. A. F. 2 Serranho, Pedro 2 Siegel, Michael 2 Singer, Amit 2 Strohmaier, Alexander 2 Tacy, Melissa 2 Takahashi, Toru 2 Zheng, Enxi ...and 293 more Authors
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#### Cited in 68 Serials

 70 Journal of Computational Physics 26 SIAM Journal on Scientific Computing 14 Engineering Analysis with Boundary Elements 11 Computers & Mathematics with Applications 9 Advances in Computational Mathematics 8 Journal of Scientific Computing 6 BIT 6 Applied Numerical Mathematics 5 Inverse Problems 5 Wave Motion 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Numerical Analysis 4 Journal of Differential Equations 3 Computer Methods in Applied Mechanics and Engineering 3 Chaos 3 Journal of Computational Acoustics 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Fluid Mechanics 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 International Journal for Numerical Methods in Engineering 2 SIAM Journal on Control and Optimization 2 Computational Mechanics 2 Numerical Algorithms 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Mathematical Problems in Engineering 2 Multiscale Modeling & Simulation 2 SIAM Journal on Imaging Sciences 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Potential Analysis 1 Applied and Computational Harmonic Analysis 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. A. Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 The ANZIAM Journal 1 International Journal of Computational Methods 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Journal of Spectral Theory 1 Research in the Mathematical Sciences
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#### Cited in 33 Fields

 188 Numerical analysis (65-XX) 121 Partial differential equations (35-XX) 57 Fluid mechanics (76-XX) 52 Optics, electromagnetic theory (78-XX) 24 Mechanics of deformable solids (74-XX) 21 Integral equations (45-XX) 13 Potential theory (31-XX) 12 Biology and other natural sciences (92-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Approximations and expansions (41-XX) 5 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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