## Walker, Homer F.

Compute Distance To:
 Author ID: walker.homer-f Published as: Walker, Homer F.; Walker, H. F.; Walker, Homer more...less
 Documents Indexed: 51 Publications since 1971 5 Contributions as Editor Co-Authors: 61 Co-Authors with 39 Joint Publications 1,657 Co-Co-Authors
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### Co-Authors

 17 single-authored 5 Shadid, John N. 5 Watson, Layne Terry 4 Elman, Howard C. 3 Brown, Peter N. 3 Dennis, John E. jun. 3 Freund, Roland W. 3 Peters, B. Charles jun. 3 Tuminaro, Ray S. 3 Woodward, Carol S. 2 Ashby, Steve 2 Benzi, Michele 2 Cai, Xiao-Chuan 2 Duff, Iain S. 2 Eisenstat, Stanley C. 2 Greenbaum, Anne 2 Irani, Kashmira M. 2 Jordan, Kirk E. 2 Kelley, Tim 2 Kilmer, Misha E. 2 Leyffer, Sven 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Parter, Seymour V. 2 Pawlowski, Roger P. 2 Ribbens, Calvin J. 2 Saylor, Paul E. 2 Silvester, David J. 2 Simonis, Joseph P. 2 Sosonkina, Maria 2 Widlund, Olof B. 2 Yavneh, Irad 2 Zhou, Lu 1 An, Hengbin 1 Bhattacharya, Rabi N. 1 Bourji, Samih K. 1 Desa, Colin 1 Fitzgibbon, William Edward 1 Gonglewski, John D. 1 Guseman, L. F. jun. 1 Hindmarsh, Alan C. 1 Ho, Nguyenho 1 Jia, Xiaowei 1 Kamat, Manohar P. 1 Kapania, Rakesh K. 1 Keyes, David Elliot 1 Knoll, Dana A. 1 Kumar Gupta, Vijay 1 LaVita, James A. 1 Livshits, Irene 1 Melville, Robert C. 1 Morgan, Alexander P. 1 Ni, Peng 1 Nirenberg, Louis 1 Olson, Luke N. 1 Olson, Sarah D. 1 Pernice, Michael 1 Redner, Richard A. 1 Tuminaro, Raymond S. 1 Turner, Kathryn 1 Wasyk, Rebecca 1 Yi, Sucheol
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### Serials

 7 SIAM Journal on Numerical Analysis 7 SIAM Journal on Scientific Computing 4 SIAM Journal on Scientific and Statistical Computing 3 Journal of Computational Physics 3 SIAM Journal on Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 SIAM Review 2 SIAM Journal on Optimization 2 Numerical Linear Algebra with Applications 1 Computer Physics Communications 1 ACM Transactions on Mathematical Software 1 The Annals of Statistics 1 Journal of Differential Equations 1 Mathematical Programming Study 1 Quarterly of Applied Mathematics 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Communications in Statistics. Theory and Methods 1 Communications of the Korean Mathematical Society
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### Fields

 38 Numerical analysis (65-XX) 12 Partial differential equations (35-XX) 6 Statistics (62-XX) 5 General and overarching topics; collections (00-XX) 5 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

45 Publications have been cited 1,448 times in 1,193 Documents Cited by Year
Mixture densities, maximum likelihood and the EM algorithm. Zbl 0536.62021
Redner, Richard A.; Walker, Homer F.
1984
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
1996
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
1994
Anderson acceleration for fixed-point iterations. Zbl 1254.65067
Walker, Homer F.; Ni, Peng
2011
The null spaces of elliptic partial differential operators in R$$^n$$. Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
1973
GMRES on (nearly) singular systems. Zbl 0876.65019
Brown, Peter N.; Walker, Homer F.
1997
NITSOL: A Newton iterative solver for nonlinear systems. Zbl 0916.65049
Pernice, Michael; Walker, Homer F.
1998
Implementation of the GMRES method using Householder transformations. Zbl 0698.65021
Walker, Homer F.
1988
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
1981
Residual smoothing techniques for iterative methods. Zbl 0802.65041
Zhou, Lu; Walker, Homer F.
1994
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexnder P.; Walker, Homer F.
1997
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
1994
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
1997
Least-change secant update methods for underdetermined systems. Zbl 0733.65032
Walker, Homer F.; Watson, Layne T.
1990
On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489
Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N.
2002
An iterative procedure for obtaining maximum-likelihood estimates of the parameters for a mixture of normal distributions. Zbl 0443.65112
Peters, B. Charles jun.; Walker, Homer F.
1978
Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039
Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F.
2006
Anderson acceleration and application to the three-temperature energy equations. Zbl 1380.65092
An, Hengbin; Jia, Xiaowei; Walker, Homer F.
2017
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
1989
Residual smoothing and peak/plateau behavior in Krylov subspace methods. Zbl 0855.65023
Walker, Homer F.
1995
A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037
Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F.
1998
Inexact Newton dogleg methods. Zbl 1183.65055
Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N.
2008
Implementations of the GMRES method. Zbl 0798.65041
Walker, Homer F.
1989
Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035
Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F.
1992
Efficient high accuracy solutions with GMRES$$(m)$$. Zbl 0758.65029
Turner, Kathryn; Walker, Homer F.
1992
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
1984
On minimizing the probability of misclassification for linear feature selection. Zbl 0303.62048
Guseman, L. F. jun.; Peters, B. Charles jun.; Walker, Homer F.
1975
On using approximate finite differences in matrix-free Newton-Krylov methods. Zbl 1183.65052
Brown, Peter N.; Walker, Homer F.; Wasyk, Rebecca; Woodward, Carol S.
2008
An adaptation of Krylov subspace methods to path following problems. Zbl 0948.65056
Walker, Homer F.
1999
Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057
Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T.
1991
Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains. Zbl 0337.35046
Walker, Homer F.
1977
On the null-spaces of first-order elliptic partial differential operators in $$R^ n$$. Zbl 0202.37902
Walker, H. F.
1971
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
1985
An approach to continuation using Krylov subspace methods. Zbl 0911.65043
Walker, Homer F.
1997
On the null-spaces of elliptic partial differential operators in R$$^n$$. Zbl 0265.35037
Walker, Homer F.
1972
Newton-like methods for underdetermined systems. Zbl 0696.65047
Walker, Homer F.
1990
Estimating the proportions of two populations in a mixture using linear maps. Zbl 0437.62019
Walker, Homer F.
1980
The numerical evaluation of the maximum-likelihood estimate of a subset of mixture proportions. Zbl 0405.62024
Peters, B. Charles jun.; Walker, Homer F.
1978
Experiments with quasi-Newton methods in solving stiff ODE systems. Zbl 0578.65072
Brown, Peter N.; Hindmarsh, Alan C.; Walker, Homer F.
1985
Least-change secant updates of nonsquare matrices. Zbl 0719.65043
Bourji, Samih K.; Walker, Homer F.
1990
Accelerating the Uzawa algorithm. Zbl 1392.65056
Ho, Nguyenho; Olson, Sarah D.; Walker, Homer F.
2017
Well-posedness of certain elliptic problems in unbounded domains. Zbl 0322.35032
Walker, H. F.
1975
On the null-spaces of partially elliptic operators of a certain type. Zbl 0336.47029
LaVita, James A.; Walker, Homer F.
1976
Strong ellipticity and Van Hove’s lemma in inhomogeneous media. Zbl 0365.73005
Walker, Homer F.
1977
A Fredholm theory for a class of first-order elliptic partial differential operators in $$R^ n$$. Zbl 0229.35042
Walker, Homer F.
1972
Anderson acceleration and application to the three-temperature energy equations. Zbl 1380.65092
An, Hengbin; Jia, Xiaowei; Walker, Homer F.
2017
Accelerating the Uzawa algorithm. Zbl 1392.65056
Ho, Nguyenho; Olson, Sarah D.; Walker, Homer F.
2017
Anderson acceleration for fixed-point iterations. Zbl 1254.65067
Walker, Homer F.; Ni, Peng
2011
Inexact Newton dogleg methods. Zbl 1183.65055
Pawlowski, Roger P.; Simonis, Joseph P.; Walker, Homer F.; Shadid, John N.
2008
On using approximate finite differences in matrix-free Newton-Krylov methods. Zbl 1183.65052
Brown, Peter N.; Walker, Homer F.; Wasyk, Rebecca; Woodward, Carol S.
2008
Globalization tecniques for Newton-Krylov methods and applications to the fully coupled solution of the Navier-Stokes equations. Zbl 1110.65039
Pawlowski, Roger P; Shadid, John N.; Simonis, Joseph P.; Walker, Homer F.
2006
On backtracking failure in Newton-GMRES methods with a demonstration for the Navier-Stokes equations. Zbl 1143.76489
Tuminaro, Raymond S.; Walker, Homer F.; Shadid, John N.
2002
An adaptation of Krylov subspace methods to path following problems. Zbl 0948.65056
Walker, Homer F.
1999
NITSOL: A Newton iterative solver for nonlinear systems. Zbl 0916.65049
Pernice, Michael; Walker, Homer F.
1998
A new adaptive GMRES algorithm for achieving high accuracy. Zbl 0937.65037
Sosonkina, Maria; Watson, Layne T.; Kapania, Rakesh K.; Walker, Homer F.
1998
GMRES on (nearly) singular systems. Zbl 0876.65019
Brown, Peter N.; Walker, Homer F.
1997
Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms. Zbl 0913.65042
Watson, Layne T.; Sosonkina, Maria; Melville, Robert C.; Morgan, Alexnder P.; Walker, Homer F.
1997
An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066
Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F.
1997
An approach to continuation using Krylov subspace methods. Zbl 0911.65043
Walker, Homer F.
1997
Choosing the forcing terms in an inexact Newton method. Zbl 0845.65021
Eisenstat, Stanley C.; Walker, Homer F.
1996
Residual smoothing and peak/plateau behavior in Krylov subspace methods. Zbl 0855.65023
Walker, Homer F.
1995
Globally convergent inexact Newton methods. Zbl 0814.65049
Eisenstat, Stanley C.; Walker, Homer F.
1994
Residual smoothing techniques for iterative methods. Zbl 0802.65041
Zhou, Lu; Walker, Homer F.
1994
A simpler GMRES. Zbl 0838.65030
Walker, Homer F.; Zhou, Lu
1994
Preconditioned iterative methods for homotopy curve tracking. Zbl 0747.65035
Desa, Colin; Irani, Kashmira M.; Ribbens, Calvin J.; Watson, Layne T.; Walker, Homer F.
1992
Efficient high accuracy solutions with GMRES$$(m)$$. Zbl 0758.65029
Turner, Kathryn; Walker, Homer F.
1992
Experiments with conjugate gradient algorithms for homotopy curve tracking. Zbl 0757.65057
Irani, Kashmira M.; Kamat, Manohar P.; Ribbens, Calvin J.; Walker, Homer F.; Watson, Layne T.
1991
Least-change secant update methods for underdetermined systems. Zbl 0733.65032
Walker, Homer F.; Watson, Layne T.
1990
Newton-like methods for underdetermined systems. Zbl 0696.65047
Walker, Homer F.
1990
Least-change secant updates of nonsquare matrices. Zbl 0719.65043
Bourji, Samih K.; Walker, Homer F.
1990
Asymptotics of solute dispersion in periodic porous media. Zbl 0664.60079
Bhattacharya, R. N.; Gupta, V. K.; Walker, H. F.
1989
Implementations of the GMRES method. Zbl 0798.65041
Walker, Homer F.
1989
Implementation of the GMRES method using Householder transformations. Zbl 0698.65021
Walker, Homer F.
1988
Least-change sparse secant update methods with inaccurate secant conditions. Zbl 0597.65049
Dennis, J. E. jun.; Walker, Homer F.
1985
Experiments with quasi-Newton methods in solving stiff ODE systems. Zbl 0578.65072
Brown, Peter N.; Hindmarsh, Alan C.; Walker, Homer F.
1985
Mixture densities, maximum likelihood and the EM algorithm. Zbl 0536.62021
Redner, Richard A.; Walker, Homer F.
1984
Inaccuracy in quasi-Newton methods: Local improvement theorems. Zbl 0566.65038
Dennis, J. E. jun.; Walker, Homer F.
1984
Convergence theorems for least-change secant update methods. Zbl 0527.65032
Dennis, J. E. jun.; Walker, Homer F.
1981
Estimating the proportions of two populations in a mixture using linear maps. Zbl 0437.62019
Walker, Homer F.
1980
An iterative procedure for obtaining maximum-likelihood estimates of the parameters for a mixture of normal distributions. Zbl 0443.65112
Peters, B. Charles jun.; Walker, Homer F.
1978
The numerical evaluation of the maximum-likelihood estimate of a subset of mixture proportions. Zbl 0405.62024
Peters, B. Charles jun.; Walker, Homer F.
1978
Some remarks on the local energy decay of solutions of the initial- boundary value problem for the wave equation in unbounded domains. Zbl 0337.35046
Walker, Homer F.
1977
Strong ellipticity and Van Hove’s lemma in inhomogeneous media. Zbl 0365.73005
Walker, Homer F.
1977
On the null-spaces of partially elliptic operators of a certain type. Zbl 0336.47029
LaVita, James A.; Walker, Homer F.
1976
On minimizing the probability of misclassification for linear feature selection. Zbl 0303.62048
Guseman, L. F. jun.; Peters, B. Charles jun.; Walker, Homer F.
1975
Well-posedness of certain elliptic problems in unbounded domains. Zbl 0322.35032
Walker, H. F.
1975
The null spaces of elliptic partial differential operators in R$$^n$$. Zbl 0272.35029
Nirenberg, Louis; Walker, Homer F.
1973
On the null-spaces of elliptic partial differential operators in R$$^n$$. Zbl 0265.35037
Walker, Homer F.
1972
A Fredholm theory for a class of first-order elliptic partial differential operators in $$R^ n$$. Zbl 0229.35042
Walker, Homer F.
1972
On the null-spaces of first-order elliptic partial differential operators in $$R^ n$$. Zbl 0202.37902
Walker, H. F.
1971
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### Cited by 1,995 Authors

 22 Cai, Xiao-Chuan 19 Martínez, José Mario 17 Shadid, John N. 15 Keyes, David Elliot 13 Kelley, Carl T. 10 An, Hengbin 9 Bellavia, Stefania 9 Knoll, Dana A. 9 Walker, Homer F. 9 Yang, Haijian 8 Chien, Cheng-Sheng 8 Karp, Lavi 8 Pawlowski, Roger P. 8 Watson, Layne Terry 7 Argyros, Ioannis Konstantinos 7 Chacón, Luis 7 Cyr, Eric C. 7 Galligani, Emanuele 7 Hayami, Ken 7 Lin, Tsung I. 7 Reichel, Lothar 7 Rozložník, Miroslav 7 Zhang, Jun 7 Zhu, Detong 6 Brauer, Uwe 6 Chen, Rongliang 6 Huang, Ting-Zhu 6 Hwang, Fengnan 6 Krejić, Nataša 6 Lee, Sangyeol 6 Lee, Taewook 6 Lindsay, Bruce G. 6 Liu, Lulu 6 Porcelli, Margherita 5 Biros, George 5 Bonettini, Silvia 5 Brezinski, Claude 5 Cao, Zhihao 5 Cătinaş, Emil 5 Celeux, Gilles 5 De Sterck, Hans 5 Demidenko, Gennadiĭ Vladimirovich 5 Guo, Xueping 5 Hennig, Christian 5 Kuzmin, Dmitri 5 Lemieux, Jean-François 5 Lin, Paul T. 5 Luo, Li 5 Mang, Andreas 5 Morini, Benedetta 5 Niu, Qiang 5 Pollock, Sara 5 Raydan, Marcos 5 Rebholz, Leo G. 5 Redivo-Zaglia, Michela 5 Sadok, Hassane 5 Tuminaro, Ray S. 5 Vohralík, Martin 5 Wu, Yujiang 5 Yang, Aili 5 Yang, Chao 4 Bai, Zhengjian 4 Carson, Erin Claire 4 Chen, Xiaojun 4 Coretto, Pietro 4 Coutinho, Alvaro L. G. A. 4 Crivellini, Andrea 4 Dabaghi, Jad 4 Ghattas, Omar N. 4 Gomes-Ruggiero, Márcia Ap. 4 Hilout, Saïd 4 Jin, Xiaoqing 4 Jing, Yanfei 4 John, Volker 4 Liang, Zhaozheng 4 Mahdavi-Amiri, Nezam 4 Marsden, Jerrold Eldon 4 McOwen, Robert C. 4 Mehl, Miriam 4 Mo, Zeyao 4 Morikuni, Keiichi 4 Philip, Bobby 4 Radu, Florin Adrian 4 Ruggiero, Valeria 4 Scheufele, Klaudius 4 Sommese, Andrew John 4 Specovius-Neugebauer, Maria Ursula 4 Sun, Ziqi 4 Tchelepi, Hamdi A. 4 Wei, Yimin 4 Wen, Chun 4 Xiao, Mengying 4 Yan, Zhengzheng 3 Ariyawansa, K. A. 3 Bai, Zhongzhi 3 Berndt, Markus 3 Berrill, Mark A. 3 Biernacki, Christophe 3 Birken, Philipp 3 Both, Jakub Wiktor ...and 1,895 more Authors
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### Cited in 248 Serials

 93 Journal of Computational Physics 70 Journal of Computational and Applied Mathematics 41 SIAM Journal on Scientific Computing 37 Computers & Mathematics with Applications 36 Applied Mathematics and Computation 33 Computer Methods in Applied Mechanics and Engineering 32 Computational Statistics and Data Analysis 27 Applied Numerical Mathematics 27 Numerical Algorithms 24 Journal of Optimization Theory and Applications 20 Computers and Fluids 19 Communications in Statistics. Theory and Methods 18 BIT 18 Optimization Methods & Software 16 Journal of Scientific Computing 15 Pattern Recognition 14 Journal of Statistical Planning and Inference 14 Linear Algebra and its Applications 13 SIAM Journal on Matrix Analysis and Applications 13 Numerical Linear Algebra with Applications 12 Mathematics of Computation 12 International Journal for Numerical Methods in Engineering 12 Journal of Multivariate Analysis 12 International Journal of Computer Mathematics 12 Computational Optimization and Applications 10 Computational Statistics 9 Advances in Computational Mathematics 9 Computational Geosciences 8 Communications in Mathematical Physics 8 SIAM Journal on Numerical Analysis 8 Journal of Statistical Computation and Simulation 7 The Annals of Statistics 7 Numerische Mathematik 7 Statistics & Probability Letters 7 Neural Computation 7 Communications in Partial Differential Equations 7 SIAM Review 7 Mathematical Programming. Series A. Series B 7 Computational and Applied Mathematics 7 Journal of Applied Statistics 7 Advances in Data Analysis and Classification. ADAC 7 The Annals of Applied Statistics 6 International Journal for Numerical Methods in Fluids 6 Inverse Problems 6 Biometrics 6 Journal of Differential Equations 6 Journal of Classification 6 Statistics 6 Communications in Statistics. Simulation and Computation 5 The Canadian Journal of Statistics 5 Journal of Mathematical Physics 5 Psychometrika 5 Numerical Functional Analysis and Optimization 5 Japan Journal of Industrial and Applied Mathematics 5 SIAM Journal on Optimization 5 ETNA. Electronic Transactions on Numerical Analysis 5 Acta Numerica 5 Communications in Computational Physics 5 Statistics and Computing 4 Mathematical Methods in the Applied Sciences 4 Scandinavian Journal of Statistics 4 Calcolo 4 Computing 4 Journal of Econometrics 4 Mathematics and Computers in Simulation 4 Siberian Mathematical Journal 4 Transactions of the American Mathematical Society 4 International Journal of Approximate Reasoning 4 Mathematical and Computer Modelling 4 Stochastic Processes and their Applications 4 Physics of Fluids 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Nonlinear Analysis. Theory, Methods & Applications 3 Archive for Rational Mechanics and Analysis 3 General Relativity and Gravitation 3 Acta Mathematica 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Information Sciences 3 Optimization 3 Computational Mechanics 3 Signal Processing 3 Journal of Global Optimization 3 Applied Mathematical Modelling 3 Bulletin of the American Mathematical Society. New Series 3 Test 3 Communications in Numerical Methods in Engineering 3 Statistical Papers 3 Optimization and Engineering 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Statistical Methods and Applications 3 SIAM Journal on Imaging Sciences 3 Journal of Computational and Graphical Statistics 3 Journal of Agricultural, Biological, and Environmental Statistics 2 Modern Physics Letters B 2 Acta Mechanica 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Metrika 2 Annals of the Institute of Statistical Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 148 more Serials
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### Cited in 46 Fields

 704 Numerical analysis (65-XX) 267 Statistics (62-XX) 191 Fluid mechanics (76-XX) 178 Partial differential equations (35-XX) 128 Operations research, mathematical programming (90-XX) 69 Computer science (68-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 59 Mechanics of deformable solids (74-XX) 38 Linear and multilinear algebra; matrix theory (15-XX) 36 Probability theory and stochastic processes (60-XX) 28 Operator theory (47-XX) 24 Statistical mechanics, structure of matter (82-XX) 22 Functional analysis (46-XX) 22 Global analysis, analysis on manifolds (58-XX) 22 Geophysics (86-XX) 20 Biology and other natural sciences (92-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Information and communication theory, circuits (94-XX) 16 Differential geometry (53-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Ordinary differential equations (34-XX) 12 Relativity and gravitational theory (83-XX) 11 Integral equations (45-XX) 11 Systems theory; control (93-XX) 10 Optics, electromagnetic theory (78-XX) 10 Quantum theory (81-XX) 9 Mechanics of particles and systems (70-XX) 6 Algebraic geometry (14-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Astronomy and astrophysics (85-XX) 4 Mathematics education (97-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Manifolds and cell complexes (57-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX)