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Meerbergen, Karl

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Author ID: meerbergen.karl Recent zbMATH articles by "Meerbergen, Karl"
Published as: Meerbergen, K.; Meerbergen, Karl
External Links: MGP · Wikidata · ORCID
Documents Indexed: 55 Publications since 1994

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 728 times in 529 Documents Cited by Year
The quadratic eigenvalue problem. Zbl 0985.65028
Tisseur, Françoise; Meerbergen, Karl
275
2001
Locking and restarting quadratic eigenvalue solvers. Zbl 0985.65027
Meerbergen, Karl
26
2001
Compact rational Krylov methods for nonlinear eigenvalue problems. Zbl 1319.65042
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
25
2015
Using generalized Cayley transformations within an inexact rational Krylov sequence method. Zbl 0931.65035
Lehoucq, R. B.; Meerbergen, Karl
24
1998
A linear eigenvalue algorithm for the nonlinear eigenvalue problem. Zbl 1256.65043
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
22
2012
A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems. Zbl 1284.47041
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
21
2013
NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128
Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
20
2014
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems. Zbl 0856.65033
Meerbergen, Karl; Roose, Dirk
19
1996
Hiding global communication latency in the GMRES algorithm on massively parallel machines. Zbl 1273.65050
Ghysels, P.; Ashby, T. J.; Meerbergen, K.; Vanroose, W.
18
2013
A new truncation strategy for the higher-order singular value decomposition. Zbl 1247.65055
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl
18
2012
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
18
1994
The quadratic Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1176.65041
Meerbergen, Karl
17
2008
Implicitly restarted Arnoldi with purification for the shift-invert transformation. Zbl 0864.65020
Meerbergen, Karl; Spence, Alastair
17
1997
Krylov-based model order reduction of time-delay systems. Zbl 1247.65086
Michiels, Wim; Jarlebring, Elias; Meerbergen, Karl
16
2011
A Krylov method for the delay eigenvalue problem. Zbl 1226.65069
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
16
2010
Accelerating optimization of parametric linear systems by model order reduction. Zbl 1273.35279
Yue, Yao; Meerbergen, Karl
14
2013
Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method. Zbl 1319.65040
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
12
2014
The solution of parametrized symmetric linear systems. Zbl 1044.65029
Meerbergen, Karl
12
2003
Linearization of Lagrange and Hermite interpolating matrix polynomials. Zbl 1314.41002
van Beeumen, Roel; Michiels, Wim; Meerbergen, Karl
11
2015
On generic nonexistence of the Schmidt-Eckart-Young decomposition for complex tensors. Zbl 1311.15027
Vannieuwenhoven, N.; Nicaise, J.; Vandebril, R.; Meerbergen, K.
11
2014
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
9
2010
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047
Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao
8
2012
On dominant poles and model reduction of second order time-delay systems. Zbl 1236.93080
Saadvandi, Maryam; Meerbergen, Karl; Jarlebring, Elias
8
2012
Fast frequency response computation for Rayleigh damping. Zbl 1195.74066
Meerbergen, K.
8
2008
The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues. Zbl 0872.65038
Meerbergen, Karl; Roose, Dirk
8
1997
A subspace method for large-scale eigenvalue optimization. Zbl 1378.65090
Kangal, Fatih; Meerbergen, Karl; Mengi, Emre; Michiels, Wim
7
2018
Inverse iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large-scale problems. Zbl 1205.65156
Meerbergen, Karl; Spence, Alastair
7
2010
The implicit application of a rational filter in the RKS method. Zbl 0890.65035
de Samblanx, G.; Meerbergen, K.; Bultheel, A.
7
1997
A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations. Zbl 1313.65083
Meerbergen, Karl; Schröder, Christian; Voss, Heinrich
5
2013
Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem. Zbl 1051.65040
Meerbergen, K.
5
2001
A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122
Meerbergen, Karl; Plestenjak, Bor
4
2015
Computing the gradient in optimization algorithms for the CP decomposition in constant memory through tensor blocking. Zbl 1320.65066
Vannieuwenhoven, Nick; Meerbergen, Karl; Vandebril, Raf
4
2015
IMF: an incomplete multifrontal \(LU\)-factorization for element-structured sparse linear systems. Zbl 1264.65039
Vannieuwenhoven, Nick; Meerbergen, Karl
4
2013
Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain. Zbl 1242.74222
Yue, Yao; Meerbergen, Karl
4
2012
Parametric dominant pole algorithm for parametric model order reduction. Zbl 1291.93063
Saadvandi, Maryam; Meerbergen, Karl; Desmet, Wim
3
2014
A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. Zbl 1247.65049
Meerbergen, Karl; Vandebril, Raf
3
2012
Time integration for spherical acoustic finite-infinite element models. Zbl 1122.76344
Coyette, Jean-Pierre; Meerbergen, Karl; Robbé, Mickaël
3
2005
Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530
Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng
3
2005
Compact two-sided Krylov methods for nonlinear eigenvalue problems. Zbl 1397.65056
Lietaert, Pieter; Meerbergen, Karl; Tisseur, Françoise
2
2018
Computation of pseudospectral abscissa for large-scale nonlinear eigenvalue problems. Zbl 1433.65270
Meerbergen, Karl; Michiels, Wim; Van Beeumen, Roel; Mengi, Emre
2
2017
Parametric model order reduction of damped mechanical systems via the block Arnoldi process. Zbl 1261.93025
Yue, Yao; Meerbergen, Karl
2
2013
The infinite Arnoldi method and an application to time-delay systems with distributed delays. Zbl 1298.65194
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
2
2012
Model reduction for dynamical systems with quadratic output. Zbl 1246.74024
Van Beeumen, R.; Van Nimmen, K.; Lombaert, G.; Meerbergen, K.
2
2012
A rational QZ method. Zbl 1420.65044
Camps, Daan; Meerbergen, Karl; Vandebril, Raf
1
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 07088866
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
1
2019
An implicit filter for rational Krylov using core transformations. Zbl 1403.65016
Camps, Daan; Meerbergen, Karl; Vandebril, Raf
1
2019
A randomized algorithm for testing nonsingularity of structured matrices with an application to asserting nondefectivity of Segre varieties. Zbl 1320.65067
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl
1
2015
Using Krylov approximations to the matrix exponential operator in Davidson’s method. Zbl 0942.65036
Meerbergen, Karl; Sadkane, Miloud
1
1999
A theoretical comparison between inner products in the shift-invert Arnoldi method and the spectral transformation Lanczos method. Zbl 0915.65027
Meerbergen, Karl
1
1998
A rational QZ method. Zbl 1420.65044
Camps, Daan; Meerbergen, Karl; Vandebril, Raf
1
2019
Subspace methods for three-parameter eigenvalue problems. Zbl 07088866
Hochstenbach, Michiel E.; Meerbergen, Karl; Mengi, Emre; Plestenjak, Bor
1
2019
An implicit filter for rational Krylov using core transformations. Zbl 1403.65016
Camps, Daan; Meerbergen, Karl; Vandebril, Raf
1
2019
A subspace method for large-scale eigenvalue optimization. Zbl 1378.65090
Kangal, Fatih; Meerbergen, Karl; Mengi, Emre; Michiels, Wim
7
2018
Compact two-sided Krylov methods for nonlinear eigenvalue problems. Zbl 1397.65056
Lietaert, Pieter; Meerbergen, Karl; Tisseur, Françoise
2
2018
Computation of pseudospectral abscissa for large-scale nonlinear eigenvalue problems. Zbl 1433.65270
Meerbergen, Karl; Michiels, Wim; Van Beeumen, Roel; Mengi, Emre
2
2017
Compact rational Krylov methods for nonlinear eigenvalue problems. Zbl 1319.65042
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
25
2015
Linearization of Lagrange and Hermite interpolating matrix polynomials. Zbl 1314.41002
van Beeumen, Roel; Michiels, Wim; Meerbergen, Karl
11
2015
A Sylvester-Arnoldi type method for the generalized eigenvalue problem with two-by-two operator determinants. Zbl 1349.65122
Meerbergen, Karl; Plestenjak, Bor
4
2015
Computing the gradient in optimization algorithms for the CP decomposition in constant memory through tensor blocking. Zbl 1320.65066
Vannieuwenhoven, Nick; Meerbergen, Karl; Vandebril, Raf
4
2015
A randomized algorithm for testing nonsingularity of structured matrices with an application to asserting nondefectivity of Segre varieties. Zbl 1320.65067
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl
1
2015
NLEIGS: A class of fully rational Krylov methods for nonlinear eigenvalue problems. Zbl 1321.47128
Güttel, Stefan; van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
20
2014
Computing a partial Schur factorization of nonlinear eigenvalue problems using the infinite Arnoldi method. Zbl 1319.65040
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
12
2014
On generic nonexistence of the Schmidt-Eckart-Young decomposition for complex tensors. Zbl 1311.15027
Vannieuwenhoven, N.; Nicaise, J.; Vandebril, R.; Meerbergen, K.
11
2014
Parametric dominant pole algorithm for parametric model order reduction. Zbl 1291.93063
Saadvandi, Maryam; Meerbergen, Karl; Desmet, Wim
3
2014
A rational Krylov method based on Hermite interpolation for nonlinear eigenvalue problems. Zbl 1284.47041
Van Beeumen, Roel; Meerbergen, Karl; Michiels, Wim
21
2013
Hiding global communication latency in the GMRES algorithm on massively parallel machines. Zbl 1273.65050
Ghysels, P.; Ashby, T. J.; Meerbergen, K.; Vanroose, W.
18
2013
Accelerating optimization of parametric linear systems by model order reduction. Zbl 1273.35279
Yue, Yao; Meerbergen, Karl
14
2013
A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations. Zbl 1313.65083
Meerbergen, Karl; Schröder, Christian; Voss, Heinrich
5
2013
IMF: an incomplete multifrontal \(LU\)-factorization for element-structured sparse linear systems. Zbl 1264.65039
Vannieuwenhoven, Nick; Meerbergen, Karl
4
2013
Parametric model order reduction of damped mechanical systems via the block Arnoldi process. Zbl 1261.93025
Yue, Yao; Meerbergen, Karl
2
2013
A linear eigenvalue algorithm for the nonlinear eigenvalue problem. Zbl 1256.65043
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
22
2012
A new truncation strategy for the higher-order singular value decomposition. Zbl 1247.65055
Vannieuwenhoven, Nick; Vandebril, Raf; Meerbergen, Karl
18
2012
Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressible flow. Zbl 1247.65047
Elman, Howard C.; Meerbergen, Karl; Spence, Alastair; Wu, Minghao
8
2012
On dominant poles and model reduction of second order time-delay systems. Zbl 1236.93080
Saadvandi, Maryam; Meerbergen, Karl; Jarlebring, Elias
8
2012
Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain. Zbl 1242.74222
Yue, Yao; Meerbergen, Karl
4
2012
A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line. Zbl 1247.65049
Meerbergen, Karl; Vandebril, Raf
3
2012
The infinite Arnoldi method and an application to time-delay systems with distributed delays. Zbl 1298.65194
Jarlebring, Elias; Michiels, Wim; Meerbergen, Karl
2
2012
Model reduction for dynamical systems with quadratic output. Zbl 1246.74024
Van Beeumen, R.; Van Nimmen, K.; Lombaert, G.; Meerbergen, K.
2
2012
Krylov-based model order reduction of time-delay systems. Zbl 1247.65086
Michiels, Wim; Jarlebring, Elias; Meerbergen, Karl
16
2011
A Krylov method for the delay eigenvalue problem. Zbl 1226.65069
Jarlebring, Elias; Meerbergen, Karl; Michiels, Wim
16
2010
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides. Zbl 1205.65149
Meerbergen, Karl; Bai, Zhaojun
9
2010
Inverse iteration for purely imaginary eigenvalues with application to the detection of Hopf bifurcations in large-scale problems. Zbl 1205.65156
Meerbergen, Karl; Spence, Alastair
7
2010
The quadratic Arnoldi method for the solution of the quadratic eigenvalue problem. Zbl 1176.65041
Meerbergen, Karl
17
2008
Fast frequency response computation for Rayleigh damping. Zbl 1195.74066
Meerbergen, K.
8
2008
Time integration for spherical acoustic finite-infinite element models. Zbl 1122.76344
Coyette, Jean-Pierre; Meerbergen, Karl; Robbé, Mickaël
3
2005
Arnoldi methods for structure-preserving dimension reduction of second-order dynamical systems. Zbl 1079.65530
Bai, Zhaojun; Meerbergen, Karl; Su, Yangfeng
3
2005
The solution of parametrized symmetric linear systems. Zbl 1044.65029
Meerbergen, Karl
12
2003
The quadratic eigenvalue problem. Zbl 0985.65028
Tisseur, Françoise; Meerbergen, Karl
275
2001
Locking and restarting quadratic eigenvalue solvers. Zbl 0985.65027
Meerbergen, Karl
26
2001
Changing poles in the rational Lanczos method for the Hermitian eigenvalue problem. Zbl 1051.65040
Meerbergen, K.
5
2001
Using Krylov approximations to the matrix exponential operator in Davidson’s method. Zbl 0942.65036
Meerbergen, Karl; Sadkane, Miloud
1
1999
Using generalized Cayley transformations within an inexact rational Krylov sequence method. Zbl 0931.65035
Lehoucq, R. B.; Meerbergen, Karl
24
1998
A theoretical comparison between inner products in the shift-invert Arnoldi method and the spectral transformation Lanczos method. Zbl 0915.65027
Meerbergen, Karl
1
1998
Implicitly restarted Arnoldi with purification for the shift-invert transformation. Zbl 0864.65020
Meerbergen, Karl; Spence, Alastair
17
1997
The restarted Arnoldi method applied to iterative linear system solvers for the computation of rightmost eigenvalues. Zbl 0872.65038
Meerbergen, Karl; Roose, Dirk
8
1997
The implicit application of a rational filter in the RKS method. Zbl 0890.65035
de Samblanx, G.; Meerbergen, K.; Bultheel, A.
7
1997
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems. Zbl 0856.65033
Meerbergen, Karl; Roose, Dirk
19
1996
Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices. Zbl 0814.65037
Meerbergen, K.; Spence, A.; Roose, D.
18
1994
all top 5

Cited by 875 Authors

17 Meerbergen, Karl
16 Jarlebring, Elias
16 Lin, Wen-Wei
15 Michiels, Wim
12 Dopico, Froilán M.
12 Tisseur, Françoise
11 Van Dooren, Paul M.
11 Yuan, Yongxin
10 Kressner, Daniel
10 Mehrmann, Volker
9 Benner, Peter
8 Dai, Hua
8 Hochstenbach, Michiel E.
8 Melman, Aaron
8 Vandebril, Raf
7 Bai, Zhaojun
7 Güttel, Stefan
7 Huang, Tsungming
7 Plestenjak, Bor
7 Román, Jose E.
7 Voss, Heinrich
6 Jiang, Yaolin
6 Li, Rencang
6 Psarrakos, Panayiotis J.
6 Solov’ëv, Sergeĭ Ivanovich
6 Treyssède, Fabien
6 Xue, Fei
5 Bultheel, Adhemar François
5 Campos, Carmen
5 Gugercin, Serkan
5 Pérez, Javier J.
5 Su, Yangfeng
5 Szyld, Daniel B.
5 Truhar, Ninoslav
5 Wei, Yimin
5 Xu, Shufang
4 Cai, Yunfeng
4 Eberhard, Peter
4 Golub, Gene Howard
4 Higham, Nicholas J.
4 Kürschner, Patrick
4 Lehoucq, Richard B.
4 Li, Tiexiang
4 Liu, Hao
4 Lu, Ding
4 Mele, Giampaolo
4 Nakatsukasa, Yuji
4 Noferini, Vanni
4 Robol, Leonardo
4 Saibaba, Arvind Krishna
4 Sánchez, José Luíz
4 Tomljanović, Zoran
4 Van Barel, Marc
4 Van Beeumen, Roel
4 Vannieuwenhoven, Nick
4 Xiao, Jinyou
4 Ye, Qiang
3 Bai, Zhengjian
3 Bao, Liang
3 Beattie, Christopher A.
3 Beltrán, Carlos
3 Bini, Dario Andrea
3 Bueno, María Isabel
3 Camps, Daan
3 Carpentieri, Bruno
3 Che, Maolin
3 Chu, Moody T.
3 De Samblanx, Gorik
3 de Terán, Fernando
3 Dmytryshyn, Andrii R.
3 Embree, Mark
3 Faßbender, Heike
3 Furtado, Susana
3 Huang, Ting-Zhu
3 Huang, Weiqiang
3 Hwang, Tsung-Min
3 Jing, Yanfei
3 Kilmer, Misha E.
3 King-wah Chu, Eric
3 Kokabifar, E.
3 Lawrence, Piers W.
3 Lin, Yiqin
3 Loghmani, Ghasem Barid
3 Lu, Xin
3 Mackey, D. Steven
3 Marcaida, Silvia
3 Mehl, Christian
3 Moufawad, Sophie M.
3 Muhič, Andrej
3 Net, Marta
3 Sakurai, Tetsuya
3 Schmidt, Kersten
3 Schröder, Christian
3 Simoncini, Valeria
3 Solov’ev, P. S.
3 Van Gijzen, Martin Bastiaan
3 Wang, Xiaolong
3 Willcox, Karen E.
3 Xie, Huiqing
3 Zhang, Chuanzeng
...and 775 more Authors
all top 5

Cited in 122 Serials

73 Linear Algebra and its Applications
37 Journal of Computational and Applied Mathematics
37 SIAM Journal on Scientific Computing
35 SIAM Journal on Matrix Analysis and Applications
20 Journal of Computational Physics
20 Applied Mathematics and Computation
19 BIT
16 Computer Methods in Applied Mechanics and Engineering
13 Numerical Linear Algebra with Applications
11 Computers & Mathematics with Applications
11 Numerical Algorithms
10 International Journal for Numerical Methods in Engineering
10 Applied Numerical Mathematics
9 Numerische Mathematik
7 Journal of Fluid Mechanics
7 Mathematics of Computation
7 Applied Mathematical Modelling
6 Linear and Multilinear Algebra
6 Wave Motion
5 Automatica
5 Computational Optimization and Applications
5 Lobachevskii Journal of Mathematics
4 Calcolo
4 Meccanica
4 Systems & Control Letters
4 Journal of Scientific Computing
4 SIAM Review
4 Engineering Analysis with Boundary Elements
4 ELA. The Electronic Journal of Linear Algebra
4 Mathematical and Computer Modelling of Dynamical Systems
3 Computers and Fluids
3 Journal of the Franklin Institute
3 Journal of Mathematical Physics
3 Computational Mechanics
3 Mathematical and Computer Modelling
3 Advances in Computational Mathematics
3 GAMM-Mitteilungen
2 ACM Transactions on Mathematical Software
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Japan Journal of Industrial and Applied Mathematics
2 International Journal of Computer Mathematics
2 Archive of Applied Mechanics
2 SIAM Journal on Optimization
2 Computational and Applied Mathematics
2 Mathematical Problems in Engineering
2 Multibody System Dynamics
2 International Journal of Applied Mathematics and Computer Science
2 The ANZIAM Journal
2 Foundations of Computational Mathematics
2 Journal of Applied Mathematics and Computing
2 Journal of Computational Acoustics
2 Operators and Matrices
2 Numerical Algebra, Control and Optimization
2 East Asian Journal on Applied Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Acta Mechanica
1 Computer Physics Communications
1 International Journal of Control
1 International Journal of Solids and Structures
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Reports
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Journal of Differential Equations
1 Journal of Functional Analysis
1 Kybernetika
1 Mathematics and Computers in Simulation
1 Mechanics Research Communications
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Physica D
1 Parallel Computing
1 Acta Mathematicae Applicatae Sinica. English Series
1 COMPEL
1 Applied Mathematics Letters
1 MCSS. Mathematics of Control, Signals, and Systems
1 Journal of Global Optimization
1 Automation and Remote Control
1 SIAM Journal on Applied Mathematics
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Imaging and Vision
1 Physics of Fluids
1 International Journal of Computer Vision
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 ETNA. Electronic Transactions on Numerical Analysis
1 Journal of Convex Analysis
1 Complexity
1 Journal of Vibration and Control
1 Mathematics and Mechanics of Solids
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 European Journal of Mechanics. A. Solids
1 European Journal of Mechanics. B. Fluids
1 Journal of High Energy Physics
1 Optimization and Engineering
...and 22 more Serials
all top 5

Cited in 41 Fields

378 Numerical analysis (65-XX)
180 Linear and multilinear algebra; matrix theory (15-XX)
60 Systems theory; control (93-XX)
48 Mechanics of deformable solids (74-XX)
39 Fluid mechanics (76-XX)
36 Partial differential equations (35-XX)
34 Ordinary differential equations (34-XX)
30 Mechanics of particles and systems (70-XX)
22 Operator theory (47-XX)
21 Optics, electromagnetic theory (78-XX)
18 Operations research, mathematical programming (90-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
11 Approximations and expansions (41-XX)
11 Computer science (68-XX)
11 Quantum theory (81-XX)
10 Functions of a complex variable (30-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Statistical mechanics, structure of matter (82-XX)
5 Algebraic geometry (14-XX)
5 Biology and other natural sciences (92-XX)
4 Field theory and polynomials (12-XX)
4 Difference and functional equations (39-XX)
4 Differential geometry (53-XX)
4 Statistics (62-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Integral transforms, operational calculus (44-XX)
3 Probability theory and stochastic processes (60-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Special functions (33-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Geophysics (86-XX)

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