# zbMATH — the first resource for mathematics

## Gelb, Anne

Compute Distance To:
 Author ID: gelb.anne Published as: Gelb, Anne; Gelb, A.
 Documents Indexed: 58 Publications since 1997 1 Contribution as Editor
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#### Co-Authors

 4 single-authored 9 Archibald, Rick 6 Platte, Rodrigo B. 5 Song, Guohui 5 Tadmor, Eitan 4 Scarnati, Theresa 3 Cates, Dennis M. 3 Renaut, Rosemary Anne 3 Viswanathan, Adityavikram 2 Churchill, Victor 2 Cochran, Douglas 2 Denker, Dennis 2 Glaubitz, Jan 2 Gottlieb, Sigal 2 Gutierrez, Alexander J. 2 Hines, Taylor 2 Jackiewicz, Zdzislaw 2 Saxena, Rishu 2 Stefan, Wolfgang 2 Yoon, Jungho 1 Adcock, Ben 1 Blakely, Chris 1 Chen, Xinjuan 1 Chertock, Alina E. 1 Cochran, Doug 1 Davis, Jacqueline 1 Ditkowski, Adi 1 Gardner, Carl L. 1 Gleeson, James P. 1 Gottlieb, David I. 1 Ha, Youngsoo 1 Jung, Jae-Hun 1 Martinez, Adam 1 Mittelmann, Hans Detlef 1 Navarra, Antonio 1 Paldor, Nathan 1 Roche, Olivia M. 1 Rosenthal, W. Steven 1 Ryan, Jennifer K. 1 Sanders, Toby 1 Shu, Chi-Wang 1 Sui, Yi 1 Tanner, Jared W. 1 Tsynkov, Semyon V. 1 Wang, Yang 1 Wasserman, Gabriel 1 Welfert, Bruno D. 1 West, Jonathan 1 Xiu, Dongbin
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#### Serials

 26 Journal of Scientific Computing 4 Journal of Computational Physics 4 SIAM Journal on Numerical Analysis 4 SIAM Journal on Scientific Computing 4 Applied and Computational Harmonic Analysis 3 Communications in Computational Physics 2 Applied Numerical Mathematics 1 Computers & Mathematics with Applications 1 Mathematics of Computation 1 Journal of Computational Mathematics 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Advances in Computational Mathematics 1 The Journal of Fourier Analysis and Applications 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Sampling Theory in Signal and Image Processing 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences
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#### Fields

 47 Numerical analysis (65-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 16 Information and communication theory, circuits (94-XX) 7 Approximations and expansions (41-XX) 6 Computer science (68-XX) 6 Fluid mechanics (76-XX) 5 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 546 times in 228 Documents Cited by Year
Detection of edges in spectral data. Zbl 0952.42001
1999
Detection of edges in spectral data. II: Nonlinear enhancement. Zbl 0990.42025
2000
Polynomial fitting for edge detection in irregularly sampled signals and images. Zbl 1093.41009
Archibald, Rick; Gelb, Anne; Yoon, Jungho
2005
Robust reprojection methods for the resolution of the Gibbs phenomenon. Zbl 1088.42001
Gelb, Anne; Tanner, Jared
2006
Adaptive edge detectors for piecewise smooth data based on the minmod limiter. Zbl 1103.65143
2006
Enhanced spectral viscosity approximations for conservation laws. Zbl 0973.65088
2000
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
2009
The resolution of the Gibbs phenomenon for “spliced” functions in one and two dimensions. Zbl 0911.65145
Gelb, A.; Gottlieb, D.
1997
Improved total variation-type regularization using higher order edge detectors. Zbl 1195.41007
Stefan, W.; Renaut, R. A.; Gelb, A.
2010
A hybrid approach to spectral reconstruction of piecewise smooth functions. Zbl 0984.65148
Gelb, Anne
2000
Parameter optimization and reduction of round off error for the Gegenbauer reconstruction method. Zbl 1062.65148
Gelb, Anne
2004
Detection of edges in spectral data III-refinement of the concentration method. Zbl 1203.94009
Gelb, Anne; Cates, Dennis
2008
On reconstruction from non-uniform spectral data. Zbl 1203.65290
Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas; Renaut, Rosemary
2010
Numerical simulation of high Mach number astrophysical jets with radiative cooling. Zbl 1076.76055
Ha, Youngsoo; Gardner, Carl L.; Gelb, Anne; Shu, Chi-Wang
2005
Approximating the inverse frame operator from localized frames. Zbl 1293.42035
Song, Guohui; Gelb, Anne
2013
Determining the locations and discontinuities in the derivatives of functions. Zbl 1141.65011
Archibald, Rick; Gelb, Anne; Yoon, Jungho
2008
Reducing the effects of noise in image reconstruction. Zbl 1007.94001
Archibald, Rick; Gelb, A.
2002
Image reconstruction from undersampled Fourier data using the polynomial annihilation transform. Zbl 1339.65026
Archibald, Rick; Gelb, Anne; Platte, Rodrigo B.
2016
A frame theoretic approach to the nonuniform fast Fourier transform. Zbl 1320.65205
Gelb, Anne; Song, Guohui
2014
Modelling annular micromixers. Zbl 1126.76058
Gleeson, James P.; Roche, Olivia M.; West, Jonathan; Gelb, Anne
2004
Reconstruction of piecewise smooth functions from non-uniform grid point data. Zbl 1113.65014
Gelb, Anne
2007
Spectral reconstruction of piecewise smooth functions from their discrete data. Zbl 1056.42001
2002
Determining analyticity for parameter optimization of the Gegenbauer reconstruction method. Zbl 1091.65130
Gelb, A.; Jackiewicz, Z.
2005
The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations. Zbl 1199.41025
Gelb, Anne; Platte, Rodrigo B.; Rosenthal, W. Steven
2008
Segmentation of images from Fourier spectral data. Zbl 1364.94095
Gelb, Anne; Cates, Dennis
2009
A hybrid Fourier-Chebyshev method for partial differential equations. Zbl 1203.65268
Platte, Rodrigo B.; Gelb, Anne
2009
Sparsity enforcing edge detection method for blurred and noisy Fourier data. Zbl 1244.65252
Stefan, W.; Viswanathan, A.; Gelb, A.; Renaut, R.
2012
Recovering exponential accuracy from non-harmonic Fourier data through spectral reprojection. Zbl 1244.65251
Gelb, Anne; Hines, Taylor
2012
Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data. Zbl 1128.65109
Cates, Dennis; Gelb, Anne
2007
The resolution of the Gibbs phenomenon for spherical harmonics. Zbl 0863.42004
Gelb, Anne
1997
Detection of edges from nonuniform Fourier data. Zbl 1236.42026
Gelb, Anne; Hines, Taylor
2011
High order edge sensors with $$\ell^1$$ regularization for enhanced discontinuous Galerkin methods. Zbl 1416.65377
Glaubitz, Jan; Gelb, Anne
2019
Image reconstruction from Fourier data using sparsity of edges. Zbl 1355.94010
Wasserman, Gabriel; Archibald, Rick; Gelb, Anne
2015
Edge detection from non-uniform Fourier data using the convolutional gridding algorithm. Zbl 1307.65026
Martinez, Adam; Gelb, Anne; Gutierrez, Alexander
2014
Using $$\ell _1$$ regularization to improve numerical partial differential equation solvers. Zbl 1395.65032
Scarnati, Theresa; Gelb, Anne; Platte, Rodrigo B.
2018
One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method. Zbl 1158.76359
Archibald, Rick; Gelb, Anne; Gottlieb, Sigal; Ryan, Jennifer
2006
Hypothesis testing for Fourier based edge detection methods. Zbl 1258.94019
Petersen, A.; Gelb, A.; Eubank, R.
2012
Iterative design of concentration factors for jump detection. Zbl 1258.94020
Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas
2012
Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation. Zbl 0999.65108
Gelb, A.; Jackiewicz, Z.; Welfert, B. D.
2002
A high-dimensional inverse frame operator approximation technique. Zbl 1342.42035
Song, Guohui; Davis, Jacqueline; Gelb, Anne
2016
Detecting edges from non-uniform Fourier data using Fourier frames. Zbl 1384.65097
Gelb, Anne; Song, Guohui
2017
Numerical analysis for conservation laws using $$l_1$$ minimization. Zbl 1433.65176
Gelb, Anne; Hou, X.; Li, Q.
2019
Edge detection from truncated Fourier data using spectral mollifiers. Zbl 1273.42001
Cochran, Doug; Gelb, Anne; Wang, Yang
2013
Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates. Zbl 1327.65286
Platte, Rodrigo B.; Gutierrez, Alexander J.; Gelb, Anne
2015
Edge detection of piecewise smooth functions from undersampled Fourier data using variance signatures. Zbl 1365.65040
Denker, Dennis; Gelb, Anne
2017
Reducing effects of bad data using variance based joint sparsity recovery. Zbl 1410.65120
Gelb, Anne; Scarnati, Theresa
2019
An automated method for recovering piecewise smooth functions on spheres free from Gibbs oscillations. Zbl 1156.42301
Blakely, Chris; Gelb, Anne; Navarra, Antonio
2007
Detecting edges from non-uniform Fourier data via sparse Bayesian learning. Zbl 1431.94013
Churchill, Victor; Gelb, Anne
2019
Joint sparse recovery based on variances. Zbl 1454.94020
Adcock, Ben; Gelb, Anne; Song, Guohui; Sui, Yi
2019
A high order method for determining the edges in the gradient of a function. Zbl 1365.65044
Saxena, Rishu; Gelb, Anne; Mittelmann, Hans
2009
High order edge sensors with $$\ell^1$$ regularization for enhanced discontinuous Galerkin methods. Zbl 1416.65377
Glaubitz, Jan; Gelb, Anne
2019
Numerical analysis for conservation laws using $$l_1$$ minimization. Zbl 1433.65176
Gelb, Anne; Hou, X.; Li, Q.
2019
Reducing effects of bad data using variance based joint sparsity recovery. Zbl 1410.65120
Gelb, Anne; Scarnati, Theresa
2019
Detecting edges from non-uniform Fourier data via sparse Bayesian learning. Zbl 1431.94013
Churchill, Victor; Gelb, Anne
2019
Joint sparse recovery based on variances. Zbl 1454.94020
Adcock, Ben; Gelb, Anne; Song, Guohui; Sui, Yi
2019
Using $$\ell _1$$ regularization to improve numerical partial differential equation solvers. Zbl 1395.65032
Scarnati, Theresa; Gelb, Anne; Platte, Rodrigo B.
2018
Detecting edges from non-uniform Fourier data using Fourier frames. Zbl 1384.65097
Gelb, Anne; Song, Guohui
2017
Edge detection of piecewise smooth functions from undersampled Fourier data using variance signatures. Zbl 1365.65040
Denker, Dennis; Gelb, Anne
2017
Image reconstruction from undersampled Fourier data using the polynomial annihilation transform. Zbl 1339.65026
Archibald, Rick; Gelb, Anne; Platte, Rodrigo B.
2016
A high-dimensional inverse frame operator approximation technique. Zbl 1342.42035
Song, Guohui; Davis, Jacqueline; Gelb, Anne
2016
Image reconstruction from Fourier data using sparsity of edges. Zbl 1355.94010
Wasserman, Gabriel; Archibald, Rick; Gelb, Anne
2015
Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates. Zbl 1327.65286
Platte, Rodrigo B.; Gutierrez, Alexander J.; Gelb, Anne
2015
A frame theoretic approach to the nonuniform fast Fourier transform. Zbl 1320.65205
Gelb, Anne; Song, Guohui
2014
Edge detection from non-uniform Fourier data using the convolutional gridding algorithm. Zbl 1307.65026
Martinez, Adam; Gelb, Anne; Gutierrez, Alexander
2014
Approximating the inverse frame operator from localized frames. Zbl 1293.42035
Song, Guohui; Gelb, Anne
2013
Edge detection from truncated Fourier data using spectral mollifiers. Zbl 1273.42001
Cochran, Doug; Gelb, Anne; Wang, Yang
2013
Sparsity enforcing edge detection method for blurred and noisy Fourier data. Zbl 1244.65252
Stefan, W.; Viswanathan, A.; Gelb, A.; Renaut, R.
2012
Recovering exponential accuracy from non-harmonic Fourier data through spectral reprojection. Zbl 1244.65251
Gelb, Anne; Hines, Taylor
2012
Hypothesis testing for Fourier based edge detection methods. Zbl 1258.94019
Petersen, A.; Gelb, A.; Eubank, R.
2012
Iterative design of concentration factors for jump detection. Zbl 1258.94020
Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas
2012
Detection of edges from nonuniform Fourier data. Zbl 1236.42026
Gelb, Anne; Hines, Taylor
2011
Improved total variation-type regularization using higher order edge detectors. Zbl 1195.41007
Stefan, W.; Renaut, R. A.; Gelb, A.
2010
On reconstruction from non-uniform spectral data. Zbl 1203.65290
Viswanathan, Adityavikram; Gelb, Anne; Cochran, Douglas; Renaut, Rosemary
2010
Discontinuity detection in multivariate space for stochastic simulations. Zbl 1161.65307
Archibald, Rick; Gelb, Anne; Saxena, Rishu; Xiu, Dongbin
2009
Segmentation of images from Fourier spectral data. Zbl 1364.94095
Gelb, Anne; Cates, Dennis
2009
A hybrid Fourier-Chebyshev method for partial differential equations. Zbl 1203.65268
Platte, Rodrigo B.; Gelb, Anne
2009
A high order method for determining the edges in the gradient of a function. Zbl 1365.65044
Saxena, Rishu; Gelb, Anne; Mittelmann, Hans
2009
Detection of edges in spectral data III-refinement of the concentration method. Zbl 1203.94009
Gelb, Anne; Cates, Dennis
2008
Determining the locations and discontinuities in the derivatives of functions. Zbl 1141.65011
Archibald, Rick; Gelb, Anne; Yoon, Jungho
2008
The discrete orthogonal polynomial least squares method for approximation and solving partial differential equations. Zbl 1199.41025
Gelb, Anne; Platte, Rodrigo B.; Rosenthal, W. Steven
2008
Reconstruction of piecewise smooth functions from non-uniform grid point data. Zbl 1113.65014
Gelb, Anne
2007
Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data. Zbl 1128.65109
Cates, Dennis; Gelb, Anne
2007
An automated method for recovering piecewise smooth functions on spheres free from Gibbs oscillations. Zbl 1156.42301
Blakely, Chris; Gelb, Anne; Navarra, Antonio
2007
Robust reprojection methods for the resolution of the Gibbs phenomenon. Zbl 1088.42001
Gelb, Anne; Tanner, Jared
2006
Adaptive edge detectors for piecewise smooth data based on the minmod limiter. Zbl 1103.65143
2006
One-sided post-processing for the discontinuous Galerkin method using ENO type stencil choosing and the local edge detection method. Zbl 1158.76359
Archibald, Rick; Gelb, Anne; Gottlieb, Sigal; Ryan, Jennifer
2006
Polynomial fitting for edge detection in irregularly sampled signals and images. Zbl 1093.41009
Archibald, Rick; Gelb, Anne; Yoon, Jungho
2005
Numerical simulation of high Mach number astrophysical jets with radiative cooling. Zbl 1076.76055
Ha, Youngsoo; Gardner, Carl L.; Gelb, Anne; Shu, Chi-Wang
2005
Determining analyticity for parameter optimization of the Gegenbauer reconstruction method. Zbl 1091.65130
Gelb, A.; Jackiewicz, Z.
2005
Parameter optimization and reduction of round off error for the Gegenbauer reconstruction method. Zbl 1062.65148
Gelb, Anne
2004
Modelling annular micromixers. Zbl 1126.76058
Gleeson, James P.; Roche, Olivia M.; West, Jonathan; Gelb, Anne
2004
Reducing the effects of noise in image reconstruction. Zbl 1007.94001
Archibald, Rick; Gelb, A.
2002
Spectral reconstruction of piecewise smooth functions from their discrete data. Zbl 1056.42001
2002
Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation. Zbl 0999.65108
Gelb, A.; Jackiewicz, Z.; Welfert, B. D.
2002
Detection of edges in spectral data. II: Nonlinear enhancement. Zbl 0990.42025
2000
Enhanced spectral viscosity approximations for conservation laws. Zbl 0973.65088
2000
A hybrid approach to spectral reconstruction of piecewise smooth functions. Zbl 0984.65148
Gelb, Anne
2000
Detection of edges in spectral data. Zbl 0952.42001
1999
The resolution of the Gibbs phenomenon for “spliced” functions in one and two dimensions. Zbl 0911.65145
Gelb, A.; Gottlieb, D.
1997
The resolution of the Gibbs phenomenon for spherical harmonics. Zbl 0863.42004
Gelb, Anne
1997
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#### Cited by 341 Authors

 34 Gelb, Anne 10 Glaubitz, Jan 10 Jung, Jae-Hun 6 Boyd, John Philip 6 Mhaskar, Hrushikesh N. 6 Shi, Xianliang 6 Song, Guohui 5 Archibald, Rick 5 Kvernadze, George 5 Öffner, Philipp 5 Platte, Rodrigo B. 4 Adcock, Ben 4 Gottlieb, Sigal 4 Gunzburger, Max D. 4 Ha, Youngsoo 4 Prestin, Jurgen 4 Qian, Shizhi 4 Shizgal, Bernie D. 4 Shu, Chi-Wang 4 Xiu, Dongbin 3 Batenkov, Dmitry 3 Bruno, Oscar P. 3 Hesthaven, Jan S. 3 Huybrechs, Daan 3 Pullin, Dale I. 3 Samtaney, Ravi 3 Sarra, Scott A. 3 Scarnati, Theresa 3 Sonar, Thomas 3 Tadmor, Eitan 3 Trynin, Aleksandr Yur’evich 3 Viswanathan, Adityavikram 3 Wheatley, V. 3 Yomdin, Yosef 3 Zhang, Xiangxiong 2 Bau, Haim H. 2 Bosq, Denis 2 Burkardt, John V. 2 Campillo, Fabien 2 Cates, Dennis M. 2 Cochran, Douglas 2 de Pierro, Alvaro Rodolfo 2 Don, Wai Sun 2 Estrada, Ricardo 2 Filbir, Frank-Dieter 2 Gao, Zhen 2 Gottlieb, David I. 2 Gröchenig, Karlheinz 2 Gutierrez, Alexander J. 2 Hansen, Anders C. 2 Hines, Taylor 2 Hornikx, Maarten 2 Jakeman, John Davis 2 Jameson, Antony 2 Kim, Saeja Oh 2 Kim, Yong Jung 2 Lantarón, Sagrario 2 Llanas, Bernardo 2 Lurati, Laura B. 2 Lyon, Mark 2 Martínez, Ana Gabriela 2 Mostert, Wouter 2 Palaniammal, S. 2 Qiu, Jianxian 2 Rajupillai, K. 2 Ranocha, Hendrik 2 Renaut, Rosemary Anne 2 Rim, Kyung Soo 2 Ryan, Jennifer K. 2 Sanders, Toby 2 Stefan, Wolfgang 2 Tanner, Jared W. 2 Vindas, Jasson 2 Vukadinovic, Jesenko 2 Wang, Yang 2 Webster, Clayton G. 2 Xia, Yinhua 2 Xu, Yuesheng 2 Yoon, Jungho 2 Zhang, Guannan 2 Zhang, Haiying 1 Abgrall, Rémi 1 af Klinteberg, Ludvig 1 Ahmad, M. Omair 1 Albin, Nathan 1 Alekseev, Aleksey K. 1 Allouche, Hassane 1 Almeida, J. L. S. 1 Amir, Anat 1 Amoako-Yirenkyi, Peter 1 Appati, Justice Kwame 1 Archibald, Richard 1 Area, Iván 1 Asthana, Kartikey 1 Babierra, Ariel L. 1 Bandyopadhyay, Dipankar 1 Barajas-Solano, David A. 1 Barnett, Alexander H. 1 Beckermann, Bernhard 1 Benning, Martin ...and 241 more Authors
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#### Cited in 64 Serials

 44 Journal of Scientific Computing 32 Journal of Computational Physics 14 Applied and Computational Harmonic Analysis 12 Applied Numerical Mathematics 10 Journal of Computational and Applied Mathematics 8 Mathematics of Computation 8 SIAM Journal on Scientific Computing 6 SIAM Journal on Numerical Analysis 5 Numerical Algorithms 5 Advances in Computational Mathematics 5 The Journal of Fourier Analysis and Applications 4 Journal of Fluid Mechanics 4 Journal of Mathematical Analysis and Applications 4 Applied Mathematics and Computation 4 Mathematics and Computers in Simulation 4 Acta Mathematica Hungarica 4 Physics of Fluids 2 Computers & Mathematics with Applications 2 Journal of Approximation Theory 2 Computer Aided Geometric Design 2 SIAM Review 2 St. Petersburg Mathematical Journal 2 SIAM Journal on Imaging Sciences 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Optimization 1 Automatica 1 Information Sciences 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 Physica D 1 Journal of Complexity 1 Constructive Approximation 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Neural Networks 1 The Journal of Geometric Analysis 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Russian Mathematics 1 Applied Mathematics. Series B (English Edition) 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Matematicheskoe Modelirovanie 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Sampling Theory in Signal and Image Processing 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Optimization Letters 1 Communications in Computational Physics 1 Advances in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification
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#### Cited in 32 Fields

 160 Numerical analysis (65-XX) 67 Harmonic analysis on Euclidean spaces (42-XX) 45 Partial differential equations (35-XX) 41 Fluid mechanics (76-XX) 35 Information and communication theory, circuits (94-XX) 29 Approximations and expansions (41-XX) 16 Computer science (68-XX) 11 Probability theory and stochastic processes (60-XX) 10 Biology and other natural sciences (92-XX) 8 Statistics (62-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 4 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)