×
Author ID: mehrmann.volker Recent zbMATH articles by "Mehrmann, Volker"
Published as: Mehrmann, Volker; Mehrmann, V.; Mehrmann, Volker Ludwig
Homepage: https://www.tu.berlin/nummath/ueber-uns/team/volker-mehrmann
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Twitter · dblp · GND · IdRef
Documents Indexed: 292 Publications since 1980, including 10 Books and 20 Additional arXiv Preprints
19 Contributions as Editor
Reviewing Activity: 156 Reviews
Biographic References: 1 Publication
Co-Authors: 246 Co-Authors with 288 Joint Publications
7,405 Co-Co-Authors
all top 5

Co-Authors

19 single-authored
29 Kunkel, Peter
28 Mehl, Christian
28 Xu, Hongguo
17 Byers, Ralph
14 Benner, Peter
14 Bunse-Gerstner, Angelika
8 Linh, Vu Hoang
7 Chu, Delin
7 Mackey, D. Steven
7 Mackey, Niloufer
7 Międlar, Agnieszka
7 Nichols, Nancy K.
7 Watkins, David S.
6 Beattie, Christopher A.
6 Elsner, Ludwig F.
6 Liesen, Jörg
6 Ran, André C. M.
6 Rodman, Leiba X.
6 Wojtylak, Michał
5 Konstantinov, Mikhail Mikhajlov
5 Petkov, Petko Hr.
5 Schneider, Hans
5 Schröder, Christian
5 Van Dooren, Paul M.
4 Achleitner, Franz
4 Ammar, Gregory S.
4 Arnold, Anton
4 Binder, Andreas
4 Campbell, Stephen LaVern
4 Grötschel, Martin
4 Hershkowitz, Daniel
4 Losse, Philip
4 Poloni, Federico Giovanni
4 Sharma, Punit
3 Bollhöfer, Matthias
3 Cherifi, Karim
3 Friedland, Shmuel
3 Hà Phi
3 Ilchmann, Achim
3 Jadhav, Onkar
3 Lin, Wen-Wei
3 Lucas, Klaus
3 Marheineke, Nicole
3 Olesky, D. Dale
3 Rath, Werner
3 Reiss, Julius
3 Schmidt, Martin
3 Schulze, Philipp
3 Stolwijk, Jeroen J.
3 van der Schaft, Arjan J.
2 Aliyev, Nicat
2 Apel, Thomas
2 Badlyan, Arbi Moses
2 Biegler, Lorenz T.
2 Bora, Shreemayee
2 Brualdi, Richard Anthony
2 Carstensen, Carsten
2 Deuflhard, Peter
2 Emmrich, Etienne
2 Gedicke, Joscha
2 Gernandt, Hannes
2 Gu, Dawei
2 Gugercin, Serkan
2 Guglielmi, Nicola
2 Guterman, Alexander Èmilevich
2 Hauschild, Sarah-Alexa
2 He, Chunyang
2 Heiland, Jan
2 Hench, John J.
2 Higham, Nicholas J.
2 Hinsen, Dorothea
2 Holtz, Olga
2 Jokar, Sadegh
2 Knyazev, Andrew V.
2 Kressner, Daniel
2 Loewy, Raphael
2 Manguoglu, Murat
2 Markova, Olga V.
2 Mengi, Emre
2 Morandin, Riccardo
2 Nguyen Huu Du
2 Reis, Timo
2 Schöll, Eckehard
2 Scholz, Lena
2 Šemrl, Peter
2 Sesterhenn, Jörn L.
2 Skutella, Martin
2 Stöver, Ronald
2 Szyld, Daniel B.
2 Thuan, Do Duc
2 Tisseur, Françoise
2 Unger, Benjamin
2 Virnik, Elena
2 Voigt, Matthias
2 von Wagner, Utz
2 Xu, Jinchao
2 Zwart, Hans J.
1 Alam, Rafikul
1 Altmann, Robert
1 Arav, Marina
...and 147 more Co-Authors
all top 5

Serials

45 Linear Algebra and its Applications
29 SIAM Journal on Matrix Analysis and Applications
18 ETNA. Electronic Transactions on Numerical Analysis
12 Numerische Mathematik
12 ELA. The Electronic Journal of Linear Algebra
9 SIAM Journal on Scientific Computing
7 BIT
7 SIAM Journal on Control and Optimization
7 MCSS. Mathematics of Control, Signals, and Systems
7 Numerical Linear Algebra with Applications
6 IEEE Transactions on Automatic Control
5 Journal of Computational and Applied Mathematics
5 European Mathematical Society Newsletter
5 Operators and Matrices
4 Linear and Multilinear Algebra
4 SIAM Journal on Numerical Analysis
4 Systems & Control Letters
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Automatica
3 Vietnam Journal of Mathematics
3 Oberwolfach Reports
3 Methods of Operations Research
2 Computer Methods in Applied Mechanics and Engineering
2 RAIRO. Automatique-Productique, Informatique Industrielle
2 Journal of Dynamics and Differential Equations
2 Advances in Computational Mathematics
2 Journal of Mathematics in Industry
2 Operator Theory: Advances and Applications
2 Springer Studium Mathematik (Bachelor)
1 American Mathematical Monthly
1 ACM Transactions on Mathematical Software
1 Control and Cybernetics
1 SIAM Journal on Algebraic and Discrete Methods
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Bulletin of the Iranian Mathematical Society
1 Parallel Computing
1 Applied Numerical Mathematics
1 IMA Journal of Mathematical Control and Information
1 Numerical Algorithms
1 Journal of Inverse and Ill-Posed Problems
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Discrete and Continuous Dynamical Systems
1 Nonlinear Dynamics
1 Chaos
1 Mathematical and Computer Modelling of Dynamical Systems
1 Optimization and Engineering
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Journal of Applied Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Acta Numerica
1 Lecture Notes in Control and Information Sciences
1 Studies in Computational Mathematics
1 Vieweg Studium
1 Lecture Notes in Computational Science and Engineering
1 Advances in Design and Control
1 Networks and Heterogeneous Media
1 S\(\vec{\text{e}}\)MA Journal
1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA
1 Evolution Equations and Control Theory
1 EMS Series in Industrial and Applied Mathematics
1 Differential-Algebraic Equations Forum
1 Springer Undergraduate Mathematics Series
1 European Mathematical Society Magazine
all top 5

Fields

174 Numerical analysis (65-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
113 Systems theory; control (93-XX)
61 Ordinary differential equations (34-XX)
25 Partial differential equations (35-XX)
25 Calculus of variations and optimal control; optimization (49-XX)
20 General and overarching topics; collections (00-XX)
15 Dynamical systems and ergodic theory (37-XX)
14 History and biography (01-XX)
12 Operator theory (47-XX)
11 Operations research, mathematical programming (90-XX)
10 Fluid mechanics (76-XX)
5 Combinatorics (05-XX)
5 Mechanics of particles and systems (70-XX)
4 Mechanics of deformable solids (74-XX)
3 Probability theory and stochastic processes (60-XX)
3 Computer science (68-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
2 Associative rings and algebras (16-XX)
2 Difference and functional equations (39-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Functional analysis (46-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

244 Publications have been cited 4,448 times in 2,340 Documents Cited by Year
Differential-algebraic equations. Analysis and numerical solution. Zbl 1095.34004
Kunkel, Peter; Mehrmann, Volker
322
2006
The autonomous linear quadratic control problem. Theory and numerical solution. Zbl 0746.93001
Mehrmann, Volker Ludwig
189
1991
NLEVP, a collection of nonlinear eigenvalue problems. Zbl 1295.65140
Betcke, Timo; Higham, Nicholas J.; Mehrmann, Volker; Schröder, Christian; Tisseur, Françoise
158
2013
Structured polynomial eigenvalue problems: Good vibrations from good linearizations. Zbl 1132.65028
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
154
2006
Vector spaces of linearizations for matrix polynomials. Zbl 1132.65027
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
154
2006
Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004
129
2005
Nonlinear eigenvalue problems: A challenge for modern eigenvalue methods. Zbl 1071.65074
Mehrmann, Volker; Voss, Heinrich
117
2004
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
74
2016
Numerical solution of differential algebraic Riccati equations. Zbl 0707.65043
Kunkel, P.; Mehrmann, V.
67
1990
The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena. Zbl 1446.65212
Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V.
63
2018
Numerical computation of an analytic singular value decomposition of a matrix valued function. Zbl 0743.65035
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K.
57
1991
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
56
2018
Balanced truncation model reduction for large-scale system in descriptor form. Zbl 1107.93013
Mehrmann, Volker; Stykel, Tatjana
54
2005
A symplectic QR like algorithm for the solution of the real algebraic Riccati equation. Zbl 0616.65048
Bunse-Gerstner, Angelika; Mehrmann, Volker
54
1986
Canonical forms for Hamiltonian and symplectic matrices and pencils. Zbl 0947.15004
Lin, Wen-Wei; Mehrmann, Volker; Xu, Hongguo
52
1999
Regularization of descriptor systems by derivative and proportional state feedback. Zbl 0743.93026
Bunse-Gerstner, Angelika; Mehrmann, Volker; Nichols, Nancy K.
45
1992
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
45
2011
Polynomial eigenvalue problems with Hamiltonian structure. Zbl 1065.65054
Mehrmann, Volker; Watkins, David
45
2002
Structure-preserving methods for computing eigenpairs of large sparse skew-Hamiltonian/Hamiltonian pencils. Zbl 0986.65033
Mehrmann, Volker; Watkins, David
44
2001
A chart of numerical methods for structured eigenvalue problems. Zbl 0757.65040
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker
41
1992
Perturbation theory for matrix equations. Zbl 1025.15017
Konstantinov, Mihail; Gu, Da-Wei; Mehrmann, Volker; Petkov, Petko
41
2003
A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils. Zbl 0889.65036
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
39
1998
Canonical forms for linear differential-algebraic equations with variable coefficients. Zbl 0824.34002
Kunkel, Peter; Mehrmann, Volker
38
1994
SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500
Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras
36
1999
Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations. Zbl 1349.93332
Mehl, Christian; Mehrmann, Volker; Sharma, Punit
36
2016
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
33
2015
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
33
2011
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
33
2002
Stability and robust stability of linear time-invariant delay differential-algebraic equations. Zbl 1326.34117
Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker; Thuan, Do Duc
32
2013
On structure-preserving model reduction for damped wave propagation in transport networks. Zbl 1383.65110
Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V.
31
2018
Numerical methods for palindromic eigenvalue problems: Computing the anti-triangular Schur form. Zbl 1224.65099
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
30
2009
Perturbation theory for Hamiltonian matrices and the distance to bounded-realness. Zbl 1227.93081
Alam, R.; Bora, S.; Karow, M.; Mehrmann, V.; Moro, J.
29
2011
A quaternion QR-algorithm. Zbl 0681.65024
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker
29
1989
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
29
2019
Feedback design for regularizing descriptor systems. Zbl 0944.65082
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker; Nichols, Nancy K.
28
1999
Jordan structures of alternating matrix polynomials. Zbl 1188.15010
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
28
2010
Linear algebra properties of dissipative Hamiltonian descriptor systems. Zbl 1403.15009
Mehl, C.; Mehrmann, V.; Wojtylak, M.
28
2018
Minimum norm regularization of descriptor systems by mixed output feedback. Zbl 0959.93032
Chu, Delin; Mehrmann, Volker; Nichols, Nancy K.
27
1999
Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. Zbl 1029.65044
Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo
25
2002
Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index. Zbl 1156.49018
Kunkel, Peter; Mehrmann, Volker
24
2008
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
23
2012
Structured eigenvalue methods for the computation of corner singularities in 3D anisotropic elastic structures. Zbl 1029.74042
Apel, Thomas; Mehrmann, Volker; Watkins, David
23
2002
Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033
Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David
22
2000
The linear quadratic optimal control problem for linear descriptor systems with variable coefficients. Zbl 0894.49020
Kunkel, Peter; Mehrmann, Volker
22
1997
Stability properties of differential-algebraic equations and Spin-stabilized discretizations. Zbl 1171.65418
Kunkel, Peter; Mehrmann, Volker
22
2007
A structured staircase algorithm for skew-symmetric/symmetric pencils. Zbl 1113.65065
Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
22
2007
Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034
Benner, Peter; Kressner, Daniel; Mehrmann, Volker
22
2005
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
22
2013
Regulariztion of descriptor systems by output feedback. Zbl 0800.93544
Bunse-Gerstner, Angelika; Mehrmann, Volker; Nichols, Nancy K.
22
1994
On Hamiltonian and symplectic Hessenberg forms. Zbl 0724.65042
Ammar, Gregory; Mehrmann, Volker
22
1991
On the distance to singularity via low rank perturbations. Zbl 1342.15006
Mehl, Christian; Mehrmann, Volker; Wojtylak, Michał
22
2015
Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071
Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker
22
2012
Where is the nearest non-regular pencil? Zbl 0935.15013
Byers, Ralph; He, Chunyang; Mehrmann, Volker
21
1998
Regular solutions of nonlinear differential-algebraic equations and their numerical determination. Zbl 0914.65075
Kunkel, Peter; Mehrmann, Volker
21
1998
A numerical method for computing the Hamiltonian Schur form. Zbl 1116.65043
Chu, Delin; Liu, Xinmin; Mehrmann, Volker
21
2007
Index reduction for differential-algebraic equations by minimal extension. Zbl 1070.34006
Kunkel, P.; Mehrmann, V.
21
2004
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
21
2017
Explicit solutions for a Riccati equation from transport theory. Zbl 1176.65055
Mehrmann, Volker; Xu, Hongguo
20
2008
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
20
2013
Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
20
2014
Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Zbl 1249.65226
Mehrmann, Volker; Miedlar, Agnieszka
20
2011
A step toward a unified treatment of continuous and discrete time control problems. Zbl 0859.93013
Mehrmann, Volker
20
1996
Computing the nearest stable matrix pairs. Zbl 1513.65131
Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit
20
2018
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
20
2013
The matrix sign function method and the computation of invariant subspaces. Zbl 0874.65031
Byers, Ralph; He, Chunyang; Mehrmann, Volker
19
1997
Regularization of linear descriptor systems with variable coefficients. Zbl 0895.93026
Byers, Ralph; Kunkel, Peter; Mehrmann, Volker
19
1997
Numerical methods for simultaneous diagonalization. Zbl 0786.65030
Bunse-Gerstner, Angelika; Byers, Ralph; Mehrmann, Volker
19
1993
A robust numerical method for the \(\gamma\)-iteration in \(H_{\infty}\) control. Zbl 1124.93022
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
19
2007
A new software package for linear differential-algebraic equations. Zbl 0868.65041
Kunkel, Peter; Mehrmann, Volker; Rath, Werner; Weickert, Jörg
18
1997
Descriptor systems without controllability at infinity. Zbl 0871.93021
Byers, Ralph; Geerts, Ton; Mehrmann, Volker
18
1997
A symplectic orthogonal method for single input or single output discrete time optimal quadratic control problems. Zbl 0643.65032
Mehrmann, Volker
18
1988
Perturbation of purely imaginary eigenvalues of Hamiltonian matrices under structured perturbations. Zbl 1161.15005
Mehrmann, Volker; Xu, Hongguo
18
2008
Convergence of block iterative methods for linear systems arising in the numerical solution of Euler equations. Zbl 0744.65026
Elsner, Ludwig; Mehrmann, Volker
17
1991
A new method for computing the stable invariant subspace of a real Hamiltonian matrix. Zbl 1005.65034
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
17
1997
Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. Zbl 1165.65050
Linh, Vu Hoang; Mehrmann, Volker
17
2009
On best rank one approximation of tensors. Zbl 1313.65085
Friedland, S.; Mehrmann, V.; Pajarola, R.; Suter, S. K.
17
2013
Nonlinear eigenvalue and frequency response problems in industrial practice. Zbl 1273.65058
Mehrmann, Volker; Schröder, Christian
17
2011
Distance problems for dissipative Hamiltonian systems and related matrix polynomials. Zbl 1466.15010
Mehl, C.; Mehrmann, V.; Wojtylak, M.
17
2021
On the nearest singular matrix pencil. Zbl 1371.15015
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker
17
2017
Defect correction methods for the solution of algebraic Riccati equations. Zbl 0646.93024
Mehrmann, V.; Tan, E.
16
1988
A behavioral approach to time-varying linear systems. I: General theory. Zbl 1139.93007
Ilchmann, Achim; Mehrmann, Volker
16
2006
Trimmed linearizations for structured matrix polynomials. Zbl 1155.65026
Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
16
2008
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106
Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka
16
2011
Formal adjoints of linear DAE operators and their role in optimal control. Zbl 1226.49030
Kunkel, Peter; Mehrmann, Volker
16
2011
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
16
2019
Analysis and numerical solution of control problems in descriptor form. Zbl 1066.93019
Kunkel, Peter; Mehrmann, Volker; Rath, Werner
15
2001
Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems. Zbl 1116.34300
Kunkel, Peter; Mehrmann, Volker
15
2001
Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
15
2002
Transformation of high order linear differential-algebraic systems to first order. Zbl 1109.65071
Mehrmann, Volker; Shi, Chunchao
15
2006
A new class of discretization methods for the solution of linear differential-algebraic equations with variable coefficients. Zbl 0858.65064
Kunkel, Peter; Mehrmann, Volker
15
1996
Disturbance decoupling for descriptor systems by state feedback. Zbl 0963.93060
Chu, Delin; Mehrmann, Volker
14
2000
A behavioral approach to time-varying linear systems. II: Descriptor systems. Zbl 1139.93008
Ilchmann, Achim; Mehrmann, Volker
14
2006
Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index. Zbl 1061.65075
Kunkel, Peter; Mehrmann, Volker; Stöver, Ronald
14
2004
Doubling algorithms with permuted Lagrangian graph bases. Zbl 1260.65059
Mehrmann, Volker; Poloni, Federico
14
2012
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria
14
2012
Robust stability of differential-algebraic equations. Zbl 1281.34002
Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker
14
2013
Existence, uniqueness, and stability of solutions to singular linear quadratic optimal control problems. Zbl 0677.49001
Mehrmann, Volker
14
1989
Port-Hamiltonian modeling of district heating networks. Zbl 1453.93101
Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker; Mohring, Jan; Badlyan, Arbi Moses; Rein, Markus; et al.
14
2020
Parameter-dependent rank-one perturbations of singular Hermitian or symmetric pencils. Zbl 1354.15007
Mehl, C.; Mehrmann, V.; Wojtylak, M.
14
2017
Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100
Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias
14
2015
Control of port-Hamiltonian differential-algebraic systems and applications. Zbl 07736658
Mehrmann, Volker; Unger, Benjamin
6
2023
Linear port-Hamiltonian DAE systems revisited. Zbl 07712470
van der Schaft, Arjan; Mehrmann, Volker
3
2023
Local and global canonical forms for differential-algebraic equations with symmetries. Zbl 1521.34012
Kunkel, Peter; Mehrmann, Volker
2
2023
Hypocoercivity and hypocontractivity concepts for linear dynamical systems. Zbl 07692337
Achleitner, Franz; Arnold, Anton; Mehrmann, Volker
2
2023
Differential-algebraic systems with dissipative Hamiltonian structure. Zbl 1522.93079
Mehrmann, Volker; van der Schaft, Arjan
1
2023
Structure-preserving interpolatory model reduction for port-Hamiltonian differential-algebraic systems. Zbl 1504.93033
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
6
2022
Low-rank perturbation of regular matrix pencils with symmetry structures. Zbl 1514.15020
De Terán, Fernando; Mehl, Christian; Mehrmann, Volker
3
2022
Matrix pencils with coefficients that have positive semidefinite Hermitian parts. Zbl 1496.15008
Mehl, C.; Mehrmann, V.; Wojtylak, M.
3
2022
On non-Hermitian positive (semi)definite linear algebraic systems arising from dissipative Hamiltonian DAEs. Zbl 1501.65026
Güdücü, Candan; Liesen, Jörg; Mehrmann, Volker; Szyld, Daniel B.
2
2022
Computation of the nearest structured matrix triplet with common null space. Zbl 1493.37101
Guglielmi, Nicola; Mehrmann, Volker
2
2022
Distance problems for dissipative Hamiltonian systems and related matrix polynomials. Zbl 1466.15010
Mehl, C.; Mehrmann, V.; Wojtylak, M.
17
2021
Port-Hamiltonian formulations of poroelastic network models. Zbl 1491.74020
Altmann, R.; Mehrmann, V.; Unger, B.
13
2021
Nonlinear optimization of district heating networks. Zbl 1492.90174
Krug, Richard; Mehrmann, Volker; Schmidt, Martin
7
2021
The multiplex decomposition: an analytic framework for multilayer dynamical networks. Zbl 1485.34105
Berner, Rico; Mehrmann, Volker; Schöll, Eckehard; Yanchuk, Serhiy
4
2021
Structured backward errors for eigenvalues of linear port-Hamiltonian descriptor systems. Zbl 1461.93180
Mehrmann, Volker; Van Dooren, Paul
3
2021
Model order reduction for the simulation of parametric interest rate models in financial risk analysis. Zbl 1485.65092
Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker
3
2021
A two-level iterative scheme for general sparse linear systems based on approximate skew-symmetrizers. Zbl 1464.65040
Manguoğlu, Murat; Mehrmann, Volker
1
2021
Port-Hamiltonian modeling of district heating networks. Zbl 1453.93101
Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker; Mohring, Jan; Badlyan, Arbi Moses; Rein, Markus; et al.
14
2020
Optimal robustness of port-Hamiltonian systems. Zbl 1440.93067
Mehrmann, Volker; Van Dooren, Paul M.
13
2020
Approximation of stability radii for large-scale dissipative Hamiltonian systems. Zbl 1436.65206
Aliyev, Nicat; Mehrmann, Volker; Mengi, Emre
8
2020
Computation of the analytic center of the solution set of the linear matrix inequality arising in continuous- and discrete-time passivity analysis. Zbl 1461.93394
Bankmann, Daniel; Mehrmann, Volker; Nesterov, Yurii; Van Dooren, Paul
4
2020
Optimal robustness of passive discrete-time systems. Zbl 1472.93112
Mehrmann, V.; Van Dooren, P.
3
2020
Robust port-Hamiltonian representations of passive systems. Zbl 1411.93056
Beattie, Christopher A.; Mehrmann, Volker; Van Dooren, Paul
29
2019
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
16
2019
Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems. Zbl 1453.93033
Hauschild, Sarah-Alexa; Marheineke, Nicole; Mehrmann, Volker
8
2019
Applications of differential-algebraic equations: examples and benchmarks. Zbl 1419.65001
7
2019
A robust iterative scheme for symmetric indefinite systems. Zbl 1420.65037
Manguoğlu, Murat; Mehrmann, Volker
2
2019
Convergence of the backward Euler scheme for the operator-valued Riccati differential equation with semi-definite data. Zbl 1476.65151
Eisenmann, Monika; Emmrich, Etienne; Mehrmann, Volker
1
2019
The shifted proper orthogonal decomposition: a mode decomposition for multiple transport phenomena. Zbl 1446.65212
Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V.
63
2018
Linear port-Hamiltonian descriptor systems. Zbl 1401.37070
Beattie, Christopher; Mehrmann, Volker; Xu, Hongguo; Zwart, Hans
56
2018
On structure-preserving model reduction for damped wave propagation in transport networks. Zbl 1383.65110
Egger, H.; Kugler, T.; Liljegren-Sailer, B.; Marheineke, N.; Mehrmann, V.
31
2018
Linear algebra properties of dissipative Hamiltonian descriptor systems. Zbl 1403.15009
Mehl, C.; Mehrmann, V.; Wojtylak, M.
28
2018
Computing the nearest stable matrix pairs. Zbl 1513.65131
Gillis, Nicolas; Mehrmann, Volker; Sharma, Punit
20
2018
Model and discretization error adaptivity within stationary gas transport optimization. Zbl 1406.35254
Mehrmann, Volker; Schmidt, Martin; Stolwijk, Jeroen J.
10
2018
Adaptive refinement strategies for the simulation of gas flow in networks using a model hierarchy. Zbl 06862887
Domschke, Pia; Dua, Aseem; Stolwijk, Jeroen J.; Lang, Jens; Mehrmann, Volker
9
2018
Qualitative stability and synchronicity analysis of power network models in port-Hamiltonian form. Zbl 1442.37113
Mehrmann, Volker; Morandin, Riccardo; Olmi, Simona; Schöll, Eckehard
7
2018
Error analysis and model adaptivity for flows in gas networks. Zbl 1438.35317
Stolwijk, Jeroen J.; Mehrmann, Volker
7
2018
Optimal model switching for gas flow in pipe networks. Zbl 1420.35261
Rüffler, Fabian; Mehrmann, Volker; Hante, Falk M.
5
2018
Regular solutions of DAE hybrid systems and regularization techniques. Zbl 1440.34013
Kunkel, Peter; Mehrmann, Volker
4
2018
Structured eigenvalue/eigenvector backward errors of matrix pencils arising in optimal control. Zbl 1407.49052
Mehl, Christian; Mehrmann, Volker; Sharma, Punit
3
2018
Model reduction for systems with inhomogeneous initial conditions. Zbl 1353.93019
Beattie, Christopher; Gugercin, Serkan; Mehrmann, Volker
21
2017
On the nearest singular matrix pencil. Zbl 1371.15015
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker
17
2017
Parameter-dependent rank-one perturbations of singular Hermitian or symmetric pencils. Zbl 1354.15007
Mehl, C.; Mehrmann, V.; Wojtylak, M.
14
2017
Stability radii for real linear Hamiltonian systems with perturbed dissipation. Zbl 1373.93274
Mehl, Christian; Mehrmann, Volker; Sharma, Punit
13
2017
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C.
3
2017
Computation of state reachable points of second order linear time-invariant descriptor systems. Zbl 1375.93055
Datta, Subashish; Mehrmann, Volker
1
2017
Numerical solution of singularly perturbed convection-diffusion-reaction problems with two small parameters. Zbl 1341.65031
Das, Pratibhamoy; Mehrmann, Volker
74
2016
Stability radii for linear Hamiltonian systems with dissipation under structure-preserving perturbations. Zbl 1349.93332
Mehl, Christian; Mehrmann, Volker; Sharma, Punit
36
2016
On the sign characteristics of Hermitian matrix polynomials. Zbl 1352.15027
Mehrmann, Volker; Noferini, Vanni; Tisseur, Françoise; Xu, Hongguo
13
2016
Analysis and numerical solution of linear delay differential-algebraic equations. Zbl 1345.34129
Ha, Phi; Mehrmann, Volker
9
2016
Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
8
2016
Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations. Zbl 1335.15013
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
8
2016
Numerical methods for parametric model reduction in the simulation of disk brake squeal. Zbl 07775134
Gräbner, Nils; Mehrmann, Volker; Quraishi, Sarosh; Schröder, Christian; von Wagner, Utz
7
2016
A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. Zbl 1380.65354
Huang, Tsung-Ming; Lin, Wen-Wei; Mehrmann, Volker
6
2016
Backward errors and pseudospectra for structured nonlinear eigenvalue problems. Zbl 1348.65070
Ahmad, Sk. Safique; Mehrmann, Volker
5
2016
An inverse-free ADI algorithm for computing Lagrangian invariant subspaces. Zbl 1438.65079
Mehrmann, Volker; Poloni, Federico
2
2016
Möbius transformations of matrix polynomials. Zbl 1309.65042
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
33
2015
On the distance to singularity via low rank perturbations. Zbl 1342.15006
Mehl, Christian; Mehrmann, Volker; Wojtylak, Michał
22
2015
Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100
Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias
14
2015
Linear algebra. Zbl 1334.15001
Liesen, Jörg; Mehrmann, Volker
13
2015
Stability analysis of implicit difference equations under restricted perturbations. Zbl 1315.65105
Mehrmann, Volker; Thuan, Do Duc
12
2015
Model reduction of reactive processes. Zbl 1308.76307
Lemke, Mathias; Miȩdlar, Agnieszka; Reiss, Julius; Mehrmann, Volker; Sesterhenn, Jörn
4
2015
Structure preserving deflation of infinite eigenvalues in structured pencils. Zbl 1312.65055
Mehrmann, Volker; Xu, Hongguo
4
2015
Linear algebra. A textbook about the theory with a view toward practice. 2nd revised ed. (Lineare Algebra. Ein Lehrbuch über die Theorie mit Blick auf die Praxis.) Zbl 1305.15002
Liesen, Jörg; Mehrmann, Volker
1
2015
Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations. Zbl 1291.15061
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
20
2014
Self-adjoint differential-algebraic equations. Zbl 1291.93060
Kunkel, Peter; Mehrmann, Volker; Scholz, Lena
11
2014
Analysis of linear variable coefficient delay differential-algebraic equations. Zbl 1325.34084
Ha, Phi; Mehrmann, Volker; Steinbrecher, Andreas
7
2014
Efficient integration of strangeness-free non-stiff differential-algebraic equations by half-explicit methods. Zbl 1301.65089
Linh, Vu Hoang; Mehrmann, Volker
6
2014
An adaptive finite element method with asymptotic saturation for eigenvalue problems. Zbl 1306.65272
Carstensen, C.; Gedicke, J.; Mehrmann, V.; Miȩdlar, A.
3
2014
Self-conjugate differential and difference operators arising in the optimal control of descriptor systems. Zbl 1301.93078
Mehrmann, Volker; Scholz, Lena
2
2014
MATHEON – Mathematics for key technologies. Zbl 1287.00001
1
2014
NLEVP, a collection of nonlinear eigenvalue problems. Zbl 1295.65140
Betcke, Timo; Higham, Nicholas J.; Mehrmann, Volker; Schröder, Christian; Tisseur, Françoise
158
2013
Stability and robust stability of linear time-invariant delay differential-algebraic equations. Zbl 1326.34117
Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker; Thuan, Do Duc
32
2013
Jordan forms of real and complex matrices under rank one perturbations. Zbl 1281.15012
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
22
2013
Skew-symmetric matrix polynomials and their Smith forms. Zbl 1281.15020
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
20
2013
Operator differential-algebraic equations arising in fluid dynamics. Zbl 1392.34070
Emmrich, Etienne; Mehrmann, Volker
20
2013
On best rank one approximation of tensors. Zbl 1313.65085
Friedland, S.; Mehrmann, V.; Pajarola, R.; Suter, S. K.
17
2013
Robust stability of differential-algebraic equations. Zbl 1281.34002
Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker
14
2013
Backward errors for eigenvalues and eigenvectors of Hermitian, skew-Hermitian, \(H\)-even and \(H\)-odd matrix polynomials. Zbl 1278.65036
Ahmad, Sk. Safique; Mehrmann, Volker
8
2013
Numerical integration of positive linear differential-algebraic systems. Zbl 1277.65068
Baum, A. K.; Mehrmann, V.
4
2013
A generalized structured doubling algorithm for the numerical solution of linear quadratic optimal control problems. Zbl 1289.49038
Mehrmann, Volker; Poloni, Federico
2
2013
Matrices that commute with their derivative. On a letter from Schur to Wielandt. Zbl 1260.15026
Holtz, Olga; Mehrmann, Volker; Schneider, Hans
2
2013
Using permuted graph bases in \(\mathcal{H}_\infty\) control. Zbl 1360.93224
Mehrmann, Volker; Poloni, Federico
2
2013
Numerical solution of PDE eigenvalue problems. Abstracts from the workshop held November 17–23, 2013. Zbl 1349.00211
1
2013
Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations. Zbl 1237.15036
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
23
2012
Regularization of linear and nonlinear descriptor systems. Zbl 1317.93071
Campbell, Stephen L.; Kunkel, Peter; Mehrmann, Volker
22
2012
Doubling algorithms with permuted Lagrangian graph bases. Zbl 1260.65059
Mehrmann, Volker; Poloni, Federico
14
2012
An implicitly-restarted Krylov subspace method for real symmetric/skew-symmetric eigenproblems. Zbl 1247.65050
Mehrmann, Volker; Schröder, C.; Simoncini, Valeria
14
2012
DAEs, control, and optimization. Zbl 1317.65143
Biegler, Lorenz; Campbell, Stephen L.; Mehrmann, Volker
12
2012
Control and optimization with differential-algebraic constraints. Selected papers based on the presentations at the workshop, Banff, Canada, October 24–29, 2010. Zbl 1256.65001
11
2012
Analysis and reformulation of linear delay differential-algebraic equations. Zbl 1323.34089
Ha, Phi; Mehrmann, Volker
9
2012
Calculation of high-dimensional probability density functions of stochastically excited nonlinear mechanical systems. Zbl 1246.65016
Martens, Wolfram; von Wagner, Utz; Mehrmann, Volker
4
2012
Spectra and leading directions for linear DAEs. Zbl 1317.34133
Vu Hoang Linh; Mehrmann, Volker
3
2012
Distributed control of linearized Navier-Stokes equations via discretized input/output maps. Zbl 1238.93025
Heiland, J.; Mehrmann, V.
2
2012
Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations. Zbl 1223.15015
Mehl, Christian; Mehrmann, Volker; Ran, André C. M.; Rodman, Leiba
45
2011
Smith forms of palindromic matrix polynomials. Zbl 1207.15013
Mackey, D. Steven; Mackey, Niloufer; Mehl, Christian; Mehrmann, Volker
33
2011
Perturbation theory for Hamiltonian matrices and the distance to bounded-realness. Zbl 1227.93081
Alam, R.; Bora, S.; Karow, M.; Mehrmann, V.; Moro, J.
29
2011
Adaptive computation of smallest eigenvalues of self-adjoint elliptic partial differential equations. Zbl 1249.65226
Mehrmann, Volker; Miedlar, Agnieszka
20
2011
Nonlinear eigenvalue and frequency response problems in industrial practice. Zbl 1273.65058
Mehrmann, Volker; Schröder, Christian
17
2011
An adaptive homotopy approach for non-selfadjoint eigenvalue problems. Zbl 1263.65106
Carstensen, Carsten; Gedicke, Joscha; Mehrmann, Volker; Miedlar, Agnieszka
16
2011
...and 144 more Documents
all top 5

Cited by 2,819 Authors

115 Mehrmann, Volker
89 Benner, Peter
39 Dopico, Froilán M.
31 Mehl, Christian
28 Van Dooren, Paul M.
26 Lin, Wen-Wei
24 Noferini, Vanni
22 de Terán, Fernando
22 Jarlebring, Elias
21 Reis, Timo
20 Altmann, Robert
20 Wei, Yimin
19 Faßbender, Heike
19 Kressner, Daniel
19 Kunkel, Peter
18 Campbell, Stephen LaVern
18 Mackey, D. Steven
18 März, Roswitha
18 Xu, Hongguo
17 Ran, André C. M.
17 Tisseur, Françoise
16 King-wah Chu, Eric
16 Linh, Vu Hoang
16 Stykel, Tatjana
16 Wang, Qingwen
15 Alam, Rafikul
15 Gugercin, Serkan
15 Sharma, Punit
15 Simoncini, Valeria
15 Trenn, Stephan
14 Poloni, Federico Giovanni
14 Voigt, Matthias
14 Watkins, David S.
14 Wojtylak, Michał
13 Das, Pratibhamoy
13 Markova, Olga V.
13 Rodman, Leiba X.
12 Guglielmi, Nicola
12 Sadkane, Miloud
11 Dmytryshyn, Andrii R.
11 Fan, Hung-Yuan
11 Goyal, Pawan
11 Guterman, Alexander Èmilevich
11 Michiels, Wim
11 Pérez, Javier J.
11 Riaza, Ricardo
11 Shcheglova, Alla Arkad’evna
11 Unger, Benjamin
10 Bulatov, Mikhail Valer’yanovich
10 Huang, Tsungming
10 Kuo, Yueh-Cheng
10 Lamour, René
10 Li, Rencang
10 Melman, Aaron
10 Saak, Jens
10 Szyld, Daniel B.
9 Byers, Ralph
9 Chu, Delin
9 Chu, Moody T.
9 Dieci, Luca
9 Heiland, Jan
9 Jbilou, Khalide
9 Jiang, Yaolin
9 Mitchell, Tim
9 Pulch, Roland
9 Redmann, Martin
9 Trunk, Carsten
8 Adhikari, Bibhas
8 Beattie, Christopher A.
8 Chen, Hongjia
8 Gillis, Nicolas
8 Grundel, Sara M.
8 He, ZhuoHeng
8 Ilchmann, Achim
8 Jia, Zhigang
8 Kürschner, Patrick
8 Li, Hanyu
8 Li, Tiexiang
8 Lin, Yiqin
8 Marheineke, Nicole
8 Meerbergen, Karl
8 Robol, Leonardo
8 Saltenberger, Philip
8 Solovarova, Lyubov’ Stepanovna
8 Solov’ëv, Sergeĭ Ivanovich
8 Thuan, Do Duc
8 Vandebril, Raf
8 Wei, Musheng
8 Yang, Yidu
7 Antoulas, Athanasios C.
7 Bao, Liang
7 Behera, Namita
7 Betsch, Peter
7 Bora, Shreemayee
7 Breiten, Tobias
7 Chen, Xiaoshan
7 Dodig, Marija
7 Duressa, Gemechis File
7 Estévez Schwarz, Diana
7 Fečkan, Michal
...and 2,719 more Authors
all top 5

Cited in 331 Serials

337 Linear Algebra and its Applications
115 Journal of Computational and Applied Mathematics
105 SIAM Journal on Matrix Analysis and Applications
60 Applied Mathematics and Computation
60 SIAM Journal on Scientific Computing
53 Numerische Mathematik
51 Automatica
51 Numerical Algorithms
45 Systems & Control Letters
45 Numerical Linear Algebra with Applications
40 BIT
39 Linear and Multilinear Algebra
36 Journal of the Franklin Institute
33 Journal of Computational Physics
33 Applied Numerical Mathematics
30 Computers & Mathematics with Applications
26 International Journal of Control
24 Computer Methods in Applied Mechanics and Engineering
24 Journal of Scientific Computing
23 ELA. The Electronic Journal of Linear Algebra
22 Advances in Computational Mathematics
21 Computational and Applied Mathematics
19 MCSS. Mathematics of Control, Signals, and Systems
19 ETNA. Electronic Transactions on Numerical Analysis
18 International Journal of Computer Mathematics
17 Mathematical Methods in the Applied Sciences
17 Mathematics of Computation
17 SIAM Journal on Control and Optimization
16 Vietnam Journal of Mathematics
14 Calcolo
14 Mathematics and Computers in Simulation
14 Applied Mathematics Letters
14 Journal of Mathematical Sciences (New York)
14 Mathematical and Computer Modelling of Dynamical Systems
13 International Journal for Numerical Methods in Engineering
13 Mathematical Problems in Engineering
12 Multibody System Dynamics
11 Journal of Mathematical Analysis and Applications
11 Applied Mathematical Modelling
11 International Journal of Robust and Nonlinear Control
11 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 Journal of Differential Equations
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Numerical Algebra, Control and Optimization
8 Automation and Remote Control
8 Journal of Dynamics and Differential Equations
8 European Journal of Control
8 Chaos
8 International Journal of Computational Methods
8 GAMM-Mitteilungen
7 Computer Physics Communications
7 Journal of Fluid Mechanics
7 Ukrainian Mathematical Journal
7 Optimal Control Applications & Methods
7 Communications in Nonlinear Science and Numerical Simulation
7 Lobachevskii Journal of Mathematics
7 Operators and Matrices
7 East Asian Journal on Applied Mathematics
7 International Journal of Systems Science. Principles and Applications of Systems and Integration
6 Integral Equations and Operator Theory
6 Journal of Optimization Theory and Applications
6 Circuits, Systems, and Signal Processing
6 Japan Journal of Industrial and Applied Mathematics
6 Computational Mathematics and Mathematical Physics
6 Filomat
6 Differential Equations
6 Journal of Applied Mathematics and Computing
6 SIAM Journal on Applied Dynamical Systems
5 Journal of Symbolic Computation
5 Mathematical and Computer Modelling
5 Mathematical Programming. Series A. Series B
5 Computational Optimization and Applications
5 Journal of Difference Equations and Applications
5 Abstract and Applied Analysis
5 European Journal of Mechanics. A. Solids
5 Optimization and Engineering
5 Foundations of Computational Mathematics
5 Computational Methods in Applied Mathematics
5 Journal of Applied Mathematics
5 Complex Analysis and Operator Theory
5 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
4 Acta Mechanica
4 Chaos, Solitons and Fractals
4 Acta Mathematica Vietnamica
4 Fuzzy Sets and Systems
4 Kybernetika
4 SIAM Journal on Numerical Analysis
4 Physica D
4 SIAM Review
4 Advances in Applied Clifford Algebras
4 Computing and Visualization in Science
4 Nonlinear Dynamics
4 Discrete Dynamics in Nature and Society
4 International Journal of Applied Mathematics and Computer Science
4 Discrete and Continuous Dynamical Systems. Series B
4 Central European Journal of Mathematics
4 Optimization Letters
4 International Journal of Structural Stability and Dynamics
4 Journal of Mathematics in Industry
3 International Journal of Systems Science
...and 231 more Serials
all top 5

Cited in 57 Fields

1,239 Numerical analysis (65-XX)
834 Linear and multilinear algebra; matrix theory (15-XX)
596 Systems theory; control (93-XX)
361 Ordinary differential equations (34-XX)
195 Partial differential equations (35-XX)
140 Operator theory (47-XX)
123 Calculus of variations and optimal control; optimization (49-XX)
96 Fluid mechanics (76-XX)
73 Dynamical systems and ergodic theory (37-XX)
68 Operations research, mathematical programming (90-XX)
67 Mechanics of deformable solids (74-XX)
63 Mechanics of particles and systems (70-XX)
61 Computer science (68-XX)
39 Optics, electromagnetic theory (78-XX)
39 Information and communication theory, circuits (94-XX)
38 Approximations and expansions (41-XX)
35 Combinatorics (05-XX)
35 Probability theory and stochastic processes (60-XX)
29 Biology and other natural sciences (92-XX)
24 Difference and functional equations (39-XX)
23 Functions of a complex variable (30-XX)
22 Statistics (62-XX)
18 Real functions (26-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
17 Nonassociative rings and algebras (17-XX)
16 Quantum theory (81-XX)
15 Integral equations (45-XX)
15 Differential geometry (53-XX)
13 Number theory (11-XX)
12 Associative rings and algebras (16-XX)
12 Functional analysis (46-XX)
12 Statistical mechanics, structure of matter (82-XX)
11 Special functions (33-XX)
10 Commutative algebra (13-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 General and overarching topics; collections (00-XX)
8 Algebraic geometry (14-XX)
7 Geophysics (86-XX)
6 Field theory and polynomials (12-XX)
6 Topological groups, Lie groups (22-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 History and biography (01-XX)
5 Group theory and generalizations (20-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Manifolds and cell complexes (57-XX)
3 Convex and discrete geometry (52-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Astronomy and astrophysics (85-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Abstract harmonic analysis (43-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.