×
Author ID: benner.peter Recent zbMATH articles by "Benner, Peter"
Published as: Benner, Peter; Benner, P.
Homepage: https://www.mpi-magdeburg.mpg.de/benner
External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
all top 5

Co-Authors

10 single-authored
39 Feng, Lihong
34 Goyal, Pawan
27 Saak, Jens
21 Quintana-Ortí, Enrique S.
19 Faßbender, Heike
19 Grundel, Sara M.
19 Stoll, Martin
16 Pontes Duff, Igor
15 Heiland, Jan
14 Mehrmann, Volker
12 Byers, Ralph
12 Quintana-Ortí, Gregorio
12 Werner, Steffen W. R.
11 Kürschner, Patrick
10 Breiten, Tobias
10 Gugercin, Serkan
9 Baur, Ulrike
8 Chellappa, Sridhar
8 Kressner, Daniel
8 Voigt, Matthias
8 Xu, Hongguo
8 Zuyev, Aleksandr Leonidovich
7 Himpe, Christian
7 Khoromskaia, Venera
7 Khoromskiĭ, Boris Nikolaevich
7 Rozza, Gianluigi
7 Stykel, Tatjana
7 Weichelt, Heiko K.
6 Ahmad, Mian Ilyas
6 Banagaaya, Nicodemus
6 Mayo, Rafael
6 Mena, Hermann
6 Mlinarić, Petar
6 Onwunta, Akwum
6 Redmann, Martin
6 Schilders, Wil H. A.
6 Trautwein, Christoph
5 Damm, Tobias
5 Dolgov, Sergey V.
5 Grivet-Talocia, Stefano
5 Kweyu, Cleophas M.
5 Mach, Thomas
5 Penke, Carolin
5 Quarteroni, Alfio M.
5 Silveira, Luís Miguel
5 Sima, Vasile
5 Stein, Matthias
5 Truhar, Ninoslav
5 Yücel, Hamdullah
4 Behr, Maximilian
4 Hess, Martin Wilfried
4 Hinze, Michael
4 Mitchell, Tim
4 Przybilla, Jennifer
4 Remón, Alfredo
4 Seidel-Morgenstern, Andreas
3 Antoulas, Athanasios C.
3 Badía, José M.
3 Bänsch, Eberhard
3 Baran, Björn
3 Bujanović, Zvonimir
3 de la Rubia, Valentín
3 Ezzatti, Pablo
3 Hernández, Vicente G.
3 Hossain, Mohammad-Sahadet
3 Klawonn, Axel
3 Li, Suzhou
3 Meuris, Peter
3 Ohlberger, Mario
3 Palitta, Davide
3 Sarna, Neeraj
3 Schneider, René
3 Schoenmaker, Wim
3 Sundmacher, Kai
3 Tischendorf, Caren
3 Tomljanović, Zoran
3 Van Dooren, Paul M.
3 Watkins, David S.
3 Weinhandl, Roman
3 Willcox, Karen E.
3 Yıldız, Süleyman
3 Yue, Yao
3 Zhang, Yongjin
2 Aliyev, Nicat
2 Beattie, Christopher A.
2 Cao, Xingang
2 Castillo, Maribel
2 Cherifi, Karim
2 Chuĭko, Sergeĭ Mikhaĭlovich
2 Clees, Tanja
2 Du, Xin
2 Embree, Mark
2 Filanova, Yevgeniya
2 Gosea, Ion Victor
2 Heinkenschloss, Matthias
2 Hornung, Nils
2 Jongsma, Hidde-Jan
2 Korvink, Jan G.
2 Liang, Xin
2 Losse, Philip
...and 154 more Co-Authors
all top 5

Serials

17 SIAM Journal on Scientific Computing
15 Linear Algebra and its Applications
13 ETNA. Electronic Transactions on Numerical Analysis
11 SIAM Journal on Matrix Analysis and Applications
10 Advances in Computational Mathematics
8 Numerical Algorithms
7 Numerical Linear Algebra with Applications
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 Mathematical and Computer Modelling of Dynamical Systems
7 PAMM. Proceedings in Applied Mathematics and Mechanics
6 IEEE Transactions on Automatic Control
6 Journal of Computational and Applied Mathematics
6 GAMM-Mitteilungen
5 Systems & Control Letters
4 Computer Methods in Applied Mechanics and Engineering
4 International Journal for Numerical Methods in Engineering
4 Numerische Mathematik
3 Journal of Computational Physics
3 BIT
3 MCSS. Mathematics of Control, Signals, and Systems
3 Computational Optimization and Applications
2 Computers & Mathematics with Applications
2 International Journal of Control
2 Journal of the Franklin Institute
2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
2 ACM Transactions on Mathematical Software
2 Applied Mathematics and Computation
2 Automatica
2 Computing
2 SIAM Journal on Numerical Analysis
2 Parallel Computing
2 Applied Numerical Mathematics
2 Journal of Scientific Computing
2 Applied Mathematical Modelling
2 ELA. The Electronic Journal of Linear Algebra
2 Computing and Visualization in Science
2 Journal of Numerical Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 ISNM. International Series of Numerical Mathematics
2 Numerical Algebra, Control and Optimization
2 Journal of Mathematics in Industry
2 SIAM/ASA Journal on Uncertainty Quantification
1 IMA Journal of Numerical Analysis
1 International Journal of Systems Science
1 Journal of Mathematical Analysis and Applications
1 Ukrainian Mathematical Journal
1 Applied Mathematics and Optimization
1 Calcolo
1 Mathematische Nachrichten
1 SIAM Journal on Control and Optimization
1 COMPEL
1 Applied Mathematics Letters
1 Journal of Parallel and Distributed Computing
1 The Journal of Supercomputing
1 International Journal of Computer Mathematics
1 SIAM Review
1 Journal of Dynamics and Differential Equations
1 International Journal of Robust and Nonlinear Control
1 Journal of Mathematical Sciences (New York)
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Discrete and Continuous Dynamical Systems
1 Parallel Algorithms and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 Optimization Methods & Software
1 Taiwanese Journal of Mathematics
1 International Journal of Applied Mathematics and Computer Science
1 Archives of Computational Methods in Engineering
1 Computational Methods in Applied Mathematics
1 Stochastics and Dynamics
1 Journal of Applied Mathematics and Computing
1 Boundary Value Problems
1 Lecture Notes in Computational Science and Engineering
1 Mathematics in Industry
1 Computational Science & Engineering
1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics
1 Networks and Heterogeneous Media
1 EURASIP Journal on Advances in Signal Processing
1 Applied and Computational Mathematics
1 Algorithms
1 MS&A. Modeling, Simulation and Applications
1 The Journal of Mathematical Neuroscience
1 International Journal for Uncertainty Quantification
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Journal of Computational Dynamics
1 Modeling and Simulation in Science, Engineering and Technology

Publications by Year

Citations contained in zbMATH Open

253 Publications have been cited 3,470 times in 1,658 Documents Cited by Year
A survey of projection-based model reduction methods for parametric dynamical systems. Zbl 1339.37089
Benner, Peter; Gugercin, Serkan; Willcox, Karen
393
2015
Model reduction and approximation. Theory and algorithms. Zbl 1378.65010
123
2017
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems. Zbl 1212.65245
Benner, Peter; Li, Jing-Rebecca; Penzl, Thilo
108
2008
Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004
98
2005
Lyapunov equations, energy functionals, and model order reduction of bilinear and stochastic systems. Zbl 1217.93158
Benner, Peter; Damm, Tobias
96
2011
Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075
Baur, Ulrike; Benner, Peter; Feng, Lihong
88
2014
On the ADI method for Sylvester equations. Zbl 1176.65050
Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav
85
2009
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
76
2011
Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey. Zbl 1279.65044
Benner, Peter; Saak, Jens
74
2013
Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027
Benner, Peter; Breiten, Tobias
64
2012
Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035
Benner, Peter; Quintana-Ortí, Enrique S.
47
1999
Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068
Benner, Peter; Breiten, Tobias
45
2013
Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016
Benner, Peter; Breiten, Tobias
40
2015
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem. Zbl 0884.65028
Benner, Peter; Faßbender, Heike
39
1997
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
37
1998
SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500
Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras
35
1999
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
33
2002
\(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048
Benner, Peter; Goyal, Pawan; Gugercin, Serkan
33
2018
An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026
Benner, Peter; Byers, Ralph
30
1998
Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068
Benner, Peter; Kürschner, Patrick; Saak, Jens
30
2014
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. Zbl 1267.65047
Benner, Peter; Kürschner, Patrick; Saak, Jens
29
2013
Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315
Baur, Ulrike; Benner, Peter
28
2008
Model reduction for stochastic systems. Zbl 1331.65017
Benner, Peter; Redmann, Martin
28
2015
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
27
2018
Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic. Zbl 1111.65039
Baur, U.; Benner, P.
27
2006
Rosenbrock methods for solving Riccati differential equations. Zbl 1369.65088
Benner, Peter; Mena, Hermann
27
2013
A robust algorithm for parametric model order reduction based on implicit moment matching. Zbl 1312.65109
Benner, Peter; Feng, Lihong
27
2014
Model order reduction of differential algebraic equations arising from the simulation of gas transport networks. Zbl 1319.65077
Grundel, Sara; Jansen, Lennart; Hornung, Nils; Clees, Tanja; Tischendorf, Caren; Benner, Peter
27
2014
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
27
2020
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
26
2017
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
26
2014
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329
Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin
26
2016
An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043
Benner, Peter; Kürschner, Patrick; Saak, Jens
25
2013
A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341
Benner, Peter; Saak, Jens
23
2005
Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Zbl 0896.65047
Benner, Peter
22
1997
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
22
2018
Cholesky-like factorizations of skew-symmetric matrices. Zbl 0963.65033
Benner, Peter; Byers, Ralph; Fassbender, Heike; Mehrmann, Volker; Watkins, David
22
2000
Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. Zbl 1379.65020
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias
22
2017
Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083
Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K.
21
2015
Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069
Benner, Peter; Stykel, Tatjana
21
2017
An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046
Benner, Peter; Byers, Ralph
20
2006
Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034
Benner, Peter; Kressner, Daniel; Mehrmann, Volker
20
2005
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
20
2015
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
Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123
Benner, Peter; Kürschner, Patrick; Saak, Jens
19
2016
On the numerical solution of large-scale sparse discrete-time Riccati equations. Zbl 1230.65070
Benner, Peter; Faßbender, Heike
18
2011
On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. Zbl 1330.15017
Benner, Peter; Bujanović, Zvonimir
18
2016
Recycling BiCGSTAB with an application to parametric model order reduction. Zbl 1325.65044
Ahuja, Kapil; Benner, Peter; de Sturler, Eric; Feng, Lihong
18
2015
Computing real low-rank solutions of Sylvester equations by the factored ADI method. Zbl 1364.65093
Benner, Peter; Kürschner, Patrick
18
2014
Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074
Benner, Peter; Onwunta, Akwum; Stoll, Martin
18
2016
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010
Benner, P.; Breiten, T.; Damm, T.
17
2011
Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039
Benner, Peter; Saak, Jens
17
2011
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
Balanced truncation model reduction of large-scale dense systems on parallel computers. Zbl 0978.93013
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
17
2000
Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035
Benner, Peter; Breiten, Tobias
16
2012
Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053
Benner, Peter; Byers, Ralph
16
2001
\(\mathcal L_\infty\)-norm computation for continuous-time descriptor systems using structured matrix pencils. Zbl 1369.93174
Benner, Peter; Sima, Vasile; Voigt, Matthias
16
2012
Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1305.65158
Benner, Peter; Hossain, Mohammad-Sahadet; Stykel, Tatjana
16
2014
Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. Zbl 1132.65033
Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S.
15
2007
The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method. Zbl 0935.65030
Benner, Peter; Faßbender, Heike
15
1998
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105
Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter
15
2017
An inexact low-rank Newton-ADI method for large-scale algebraic Riccati equations. Zbl 1346.65017
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
15
2016
A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040
Benner, Peter; Faßbender, Heike; Stoll, Martin
15
2011
Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems. Zbl 1364.93112
Benner, Peter; Damm, Tobias; Rodriguez Cruz, Yolanda Rocio
15
2017
Range-separated tensor format for many-particle modeling. Zbl 1446.65202
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.
14
2018
Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
14
2002
Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Zbl 1349.65438
Bosch, Jessica; Stoll, Martin; Benner, Peter
14
2014
Dimension reduction for damping optimization in linear vibrating systems. Zbl 1370.70041
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav
13
2011
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations. Zbl 1171.65402
Benner, Peter; Mena, Hermann; Saak, Jens
13
2008
Solving stable Sylvester equations via rational iterative schemes. Zbl 1098.65041
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
13
2006
An efficient output error estimation for model order reduction of parametrized evolution equations. Zbl 1382.65281
Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter
13
2015
Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100
Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias
13
2015
Optimal damping of selected eigenfrequencies using dimension reduction. Zbl 1289.70028
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav
13
2013
Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control. Zbl 1330.93084
Benner, Peter; Saak, Jens; Monir Uddin, M.
12
2016
LQG-balanced truncation low-order controller for stabilization of laminar flows. Zbl 1308.76105
Benner, Peter; Heiland, Jan
12
2015
Uncertainty quantification for Maxwell’s equations using stochastic collocation and model order reduction. Zbl 1498.78026
Benner, Peter; Schneider, Judith
12
2015
A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. Zbl 1437.65021
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
12
2020
Subspace recycling accelerates the parametric macro-modeling of MEMS. Zbl 1352.74479
Feng, Lihong; Benner, Peter; Korvink, Jan G.
11
2013
Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063
Benner, Peter; Goyal, Pawan; Van Dooren, Paul
11
2020
Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004
11
2021
Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063
Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C.
11
2011
Partial realization of descriptor systems. Zbl 1113.93026
Benner, Peter; Sokolov, Viatcheslav I.
10
2006
An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem. Zbl 0985.65026
Benner, Peter; Fassbender, Heike
10
2000
A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems. Zbl 0936.65045
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
10
1999
A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems. Zbl 1290.93083
Benner, Peter; Voigt, Matthias
10
2014
A reduced basis method for microwave semiconductor devices with geometric variations. Zbl 1358.78055
Hess, Martin W.; Benner, Peter
10
2014
Stabilization of incompressible flow problems by Riccati-based feedback. Zbl 1356.93077
Bänsch, Eberhard; Benner, Peter
10
2012
Numerical solution of discrete stable linear matrix equations on multicomputers. Zbl 1009.65039
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
10
2002
A discontinuous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. Zbl 1443.65380
Yücel, Hamdullah; Stoll, Martin; Benner, Peter
10
2015
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.
10
2019
Efficient solution of large-scale saddle point systems arising in Riccati-based boundary feedback stabilization of incompressible Stokes flow. Zbl 1290.76059
Benner, Peter; Saak, Jens; Stoll, Martin; Weichelt, Heiko K.
10
2013
A mixed-precision algorithm for the solution of Lyapunov equations on hybrid CPU-GPU platforms. Zbl 1225.65037
Benner, Peter; Ezzatti, Pablo; Kressner, Daniel; Quintana-Ortí, Enrique S.; Remón, Alfredo
9
2011
Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323
Baumann, Manuel; Benner, Peter; Heiland, Jan
9
2018
Algorithm 854: Fortran 77 subroutines for computing the eigenvalues of Hamiltonian matrices. II. Zbl 1365.65091
Benner, Peter; Kressner, Daniel
9
2006
Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076
Benner, Peter; Stykel, Tatjana
9
2014
Multipoint interpolation of Volterra series and \(\mathcal{H}_2\)-model reduction for a family of bilinear descriptor systems. Zbl 1350.93024
Benner, Peter; Goyal, Pawan
9
2016
An \(\mathcal{H}_2\)-type error bound for balancing-related model order reduction of linear systems with Lévy noise. Zbl 1372.93185
Redmann, Martin; Benner, Peter
9
2017
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045
Benner, Peter; Dolgov, Sergey; Khoromskaia, Venera; Khoromskij, Boris N.
9
2017
Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056
Benner, Peter; Kürschner, Patrick; Saak, Jens
9
2016
Model order reduction for coupled problems (survey). Zbl 1455.74003
Benner, Peter; Feng, Lihong
9
2015
A periodic boundary value problem with switchings under nonlinear perturbations. Zbl 07703193
Benner, Peter; Chuiko, Sergey; Zuyev, Alexander
3
2023
A low-rank solution method for Riccati equations with indefinite quadratic terms. Zbl 1506.65063
Benner, Peter; Heiland, Jan; Werner, Steffen W. R.
1
2023
Parallel algorithms for tensor train arithmetic. Zbl 1484.65088
Al Daas, Hussam; Ballard, Grey; Benner, Peter
7
2022
Operator inference and physics-informed learning of low-dimensional models for incompressible flows. Zbl 1505.76072
Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes
3
2022
A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. Zbl 1492.93037
Cherifi, Karim; Goyal, Pawan; Benner, Peter
3
2022
Palindromic linearization and numerical solution of nonsymmetric algebraic \(T\)-Riccati equations. Zbl 1507.65083
Benner, Peter; Iannazzo, Bruno; Meini, Beatrice; Palitta, Davide
3
2022
Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. Zbl 1490.93102
Benner, Peter; Heiland, Jan; Werner, Steffen W. R.
3
2022
An adaptive sampling approach for the reduced basis method. Zbl 1504.93036
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
3
2022
Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs. Zbl 07480828
Benner, Peter; Goyal, Pawan; Pontes Duff, Igor
2
2022
Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. Zbl 1473.65044
Benner, Peter; Penke, Carolin
2
2022
Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006
1
2022
Stable and efficient computation of generalized polar decompositions. Zbl 1492.65116
Benner, Peter; Nakatsukasa, Yuji; Penke, Carolin
1
2022
Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004
11
2021
Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041
Benner, Peter; Goyal, Pawan
8
2021
Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001
8
2021
Model order reduction. Volume 3: Applications. Zbl 1455.93002
8
2021
Model order reduction: basic concepts and notation. Zbl 1480.93046
Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel
6
2021
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris; Kweyu, Cleophas; Stein, Matthias
5
2021
Frequency- and time-limited balanced truncation for large-scale second-order systems. Zbl 1467.93050
Benner, Peter; Werner, Steffen W. R.
5
2021
On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015
Benner, Peter; Palitta, Davide
5
2021
Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1 – philosophy, features, and application for (parametric) model order reduction. Zbl 1480.93048
Benner, Peter; Köhler, Martin; Saak, Jens
4
2021
Model order reduction for gas and energy networks. Zbl 1490.93021
Himpe, Christian; Grundel, Sara; Benner, Peter
4
2021
Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
4
2021
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. Zbl 1458.93040
Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana
4
2021
Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. Zbl 1507.65210
Sarna, Neeraj; Benner, Peter
3
2021
MORLAB – the model order reduction laboratory. Zbl 1480.93049
Benner, Peter; Werner, Steffen W. R.
3
2021
On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086
Feng, Lihong; Benner, Peter
3
2021
Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080
Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil
2
2021
Structure-preserving interpolation for model reduction of parametric bilinear systems. Zbl 1478.93079
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
2
2021
A training set subsampling strategy for the reduced basis method. Zbl 1502.65262
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
2
2021
Adaptive interpolatory MOR by learning the error estimator in the parameter domain. Zbl 1477.93124
Chellappa, Sridhar; Feng, Lihong; La Rubia, Valentín De; Benner, Peter
2
2021
Relative perturbation theory for quadratic Hermitian eigenvalue problems. Zbl 1470.65059
Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav
2
2021
MathEnergy – mathematical key technologies for evolving energy grids. Zbl 1471.93045
Clees, Tanja; Baldin, Anton; Benner, Peter; Grundel, Sara; Himpe, Christian; Klaassen, Bernhard; Küsters, Ferdinand; Marheineke, Nicole; Nikitina, Lialia; Nikitin, Igor; Pade, Jonas; Stahl, Nadine; Strohm, Christian; Tischendorf, Caren; Wirsen, Andreas
2
2021
Model order reduction based on moment-matching. Zbl 07445313
Benner, Peter; Feng, Lihong
1
2021
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate. Zbl 1480.49023
Benner, Peter; Seidel-Morgenstern, Andreas; Zuyev, Alexander
1
2021
Topical issue scientific machine learning (1/2). Zbl 07778859
1
2021
On the eigenvalue distribution for a beam with attached masses. Zbl 1461.93178
Kalosha, Julia; Zuyev, Alexander; Benner, Peter
1
2021
Stabilization of crystallization models governed by hyperbolic systems. Zbl 1461.93393
Zuyev, Alexander; Benner, Peter
1
2021
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems. Zbl 1478.74024
Benner, Peter; Richter, Thomas; Weinhandl, Roman
1
2021
Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen
27
2020
A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems. Zbl 1437.65021
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
12
2020
Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063
Benner, Peter; Goyal, Pawan; Van Dooren, Paul
11
2020
A subspace framework for \(\mathcal{H}_\infty \)-norm minimization. Zbl 1461.93123
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Voigt, Matthias
6
2020
Index-aware MOR for gas transport networks. Zbl 1428.93025
Banagaaya, Nicodemus; Grundel, Sara; Benner, Peter
4
2020
Efficient numerical methods for gas network modeling and simulation. Zbl 1457.76013
Qiu, Yue; Grundel, Sara; Stoll, Martin; Benner, Peter
3
2020
Model order reduction of switched linear systems with constrained switching. Zbl 1428.93028
Gosea, Ion Victor; Duff, Igor Pontes; Benner, Peter; Antoulas, Athanasios C.
2
2020
Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. Zbl 1462.76142
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K.
2
2020
Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
2
2020
Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations. Zbl 1451.76045
Benner, Peter; Trautwein, Christoph
1
2020
Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations. Zbl 1448.93039
Benner, Peter; Breiten, Tobias; Hartmann, Carsten; Schmidt, Burkhard
1
2020
New Gramians for switched linear systems: reachability, observability, and model reduction. Zbl 07256366
Duff, Igor Pontes; Grundel, Sara; Benner, Peter
1
2020
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.
10
2019
Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015
Behr, Maximilian; Benner, Peter; Heiland, Jan
9
2019
A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043
Benner, Peter; Onwunta, Akwum; Stoll, Martin
8
2019
Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. Zbl 1457.93066
Benner, Peter; Mitchell, Tim
6
2019
Gas network benchmark models. Zbl 1445.76065
Benner, Peter; Grundel, Sara; Himpe, Christian; Huck, Christoph; Streubel, Tom; Tischendorf, Caren
6
2019
A bilinear \(\mathcal{H}_2\) model order reduction approach to linear parameter-varying systems. Zbl 1434.93011
Benner, Peter; Cao, Xingang; Schilders, Wil
6
2019
Cross-Gramian-based dominant subspaces. Zbl 1440.93043
Benner, Peter; Himpe, Christian
4
2019
Optimal control problems constrained by the stochastic Navier-Stokes equations with multiplicative Lévy noise. Zbl 1420.93036
Benner, Peter; Trautwein, Christoph
4
2019
Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005
Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter
3
2019
Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. Zbl 1451.65054
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.; Yang, Chao
1
2019
Index-preserving model order reduction for differential-algebraic systems arising in gas transport networks. Zbl 1469.76083
Banagaaya, Nicodemus; Benner, Peter; Grundel, Sara
1
2019
\(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048
Benner, Peter; Goyal, Pawan; Gugercin, Serkan
33
2018
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
27
2018
Numerical solution of the infinite-dimensional LQR problem and the associated Riccati differential equations. Zbl 1444.65032
Benner, Peter; Mena, Hermann
22
2018
Range-separated tensor format for many-particle modeling. Zbl 1446.65202
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.
14
2018
Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323
Baumann, Manuel; Benner, Peter; Heiland, Jan
9
2018
Faster and more accurate computation of the \(\mathcal{H}_\infty\) norm via optimization. Zbl 1401.93087
Benner, Peter; Mitchell, Tim
9
2018
Some remarks on the complex \(J\)-symmetric eigenproblem. Zbl 1392.65086
Benner, Peter; Faßbender, Heike; Yang, Chao
8
2018
Singular perturbation approximation for linear systems with Lévy noise. Zbl 1394.60047
Redmann, Martin; Benner, Peter
7
2018
On reduced input-output dynamic mode decomposition. Zbl 1405.93051
Benner, Peter; Himpe, Christian; Mitchell, Tim
7
2018
Low-rank eigenvector compression of posterior covariance matrices for linear Gaussian inverse problems. Zbl 1398.65057
Benner, Peter; Qiu, Yue; Stoll, Martin
6
2018
Exponential stability and stabilization of extended linearizations via continuous updates of Riccati-based feedback. Zbl 1390.93655
Benner, P.; Heiland, J.
3
2018
A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes. Zbl 1370.93315
Benner, Peter; Trautwein, Christoph
3
2018
An index-aware parametric model order reduction method for parameterized quadratic differential-algebraic equations. Zbl 1426.65120
Banagaaya, Nicodemus; Benner, Peter; Feng, Lihong; Meuris, Peter; Schoenmaker, Wim
3
2018
An iterative model reduction scheme for quadratic-bilinear descriptor systems with an application to Navier-Stokes equations. Zbl 1416.76095
Benner, Peter; Goyal, Pawan
3
2018
Model reduction by iterative error system approximation. Zbl 1485.93090
Antoulas, A. C.; Benner, Peter; Feng, Lihong
2
2018
Model reduction of linear multi-agent systems by clustering with \(\mathcal H_2\) and \(\mathcal H_\infty \) error bounds. Zbl 1395.93134
Jongsma, Hidde-Jan; Mlinarić, Petar; Grundel, Sara; Benner, Peter; Trentelman, Harry L.
2
2018
\(\mathcal{L}_{\infty}\)-norm computation for large-scale descriptor systems using structured iterative eigensolvers. Zbl 1405.93028
Benner, Peter; Lowe, Ryan; Voigt, Matthias
2
2018
Numerical investigation of Newton’s method for solving discrete-time algebraic Riccati equations. Zbl 07765455
Sima, Vasile; Benner, Peter
1
2018
A direct index 1 DAE model of gas networks. Zbl 1416.78021
Benner, Peter; Braukmüller, Maike; Grundel, Sara
1
2018
Optimal control of a Stefan problem fully coupled with incompressible Navier-Stokes equations and mesh movement. Zbl 1438.49050
Baran, Björn; Benner, Peter; Heiland, Jan; Saak, Jens
1
2018
Model reduction and approximation. Theory and algorithms. Zbl 1378.65010
123
2017
Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Zbl 1381.65001
26
2017
Large-scale computation of \(\mathcal{L}_\infty\)-norms by a greedy subspace method. Zbl 1379.65020
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Schwerdtner, Paul; Voigt, Matthias
22
2017
Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069
Benner, Peter; Stykel, Tatjana
21
2017
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105
Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter
15
2017
Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems. Zbl 1364.93112
Benner, Peter; Damm, Tobias; Rodriguez Cruz, Yolanda Rocio
15
2017
An \(\mathcal{H}_2\)-type error bound for balancing-related model order reduction of linear systems with Lévy noise. Zbl 1372.93185
Redmann, Martin; Benner, Peter
9
2017
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045
Benner, Peter; Dolgov, Sergey; Khoromskaia, Venera; Khoromskij, Boris N.
9
2017
Krylov subspace-based model reduction for a class of bilinear descriptor systems. Zbl 1402.65083
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan
8
2017
Adaptive symmetric interior penalty Galerkin method for boundary control problems. Zbl 1362.65122
Benner, Peter; Yücel, Hamdullah
7
2017
Truncated Gramians for bilinear systems and their advantages in model order reduction. Zbl 1384.93028
Benner, Peter; Goyal, Pawan; Redmann, Martin
6
2017
Implicit Volterra series interpolation for model reduction of bilinear systems. Zbl 1377.93052
Ahmad, Mian Ilyas; Baur, Ulrike; Benner, Peter
6
2017
Structure preserving iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Zbl 1377.93053
Benner, Peter; Hossain, Mohammad-Sahadet
4
2017
Reduced basis approximations for Maxwell’s equations in dispersive media. Zbl 1388.78018
Benner, Peter; Hess, Martin
2
2017
System reduction for nanoscale IC design. Zbl 1367.65003
2
2017
Trigonometric spline and spectral bounds for the solution of linear time-periodic systems. Zbl 1385.65045
Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig
1
2017
Moment-matching based model reduction for Navier-Stokes type quadratic-bilinear descriptor systems. Zbl 07775416
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan; Heiland, Jan
1
2017
Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data. Zbl 1423.76329
Benner, Peter; Dolgov, Sergey; Onwunta, Akwum; Stoll, Martin
26
2016
...and 153 more Documents
all top 5

Cited by 2,264 Authors

177 Benner, Peter
39 Jiang, Yaolin
36 Gugercin, Serkan
35 Mehrmann, Volker
32 Rozza, Gianluigi
28 Peherstorfer, Benjamin
24 Redmann, Martin
24 Stoll, Martin
22 Feng, Lihong
22 Saak, Jens
22 Simoncini, Valeria
22 Stykel, Tatjana
22 Willcox, Karen E.
20 Breiten, Tobias
20 Kressner, Daniel
19 Faßbender, Heike
19 Kürschner, Patrick
18 Beattie, Christopher A.
16 Brunton, Steven L.
16 Kutz, J. Nathan
15 Grundel, Sara M.
14 Haasdonk, Bernard
14 Manzoni, Andrea
14 Mena, Hermann
14 Quintana-Ortí, Enrique S.
14 Tomljanović, Zoran
13 Dolgov, Sergey V.
13 Gosea, Ion Victor
13 Goyal, Pawan
13 Jbilou, Khalide
13 Khoromskiĭ, Boris Nikolaevich
13 Voigt, Matthias
12 Antoulas, Athanasios C.
12 Eberhard, Peter
12 Heinkenschloss, Matthias
12 Hesthaven, Jan S.
12 Krämer, Boris
12 Pulch, Roland
11 Alla, Alessandro
11 Heiland, Jan
11 Quarteroni, Alfio M.
11 Truhar, Ninoslav
11 Van Dooren, Paul M.
10 Ballarin, Francesco
10 Hajarian, Masoud
10 King-wah Chu, Eric
10 Mitchell, Tim
10 Palitta, Davide
10 Stabile, Giovanni
10 Xiao, Zhihua
9 de Sturler, Eric
9 Himpe, Christian
9 Lin, Wen-Wei
9 Ma, Changfeng
9 Werner, Steffen W. R.
9 Xu, Hongguo
9 Xu, Kangli
9 Yadykin, Igor Borisovich
8 Ahmad, Mian Ilyas
8 Chen, Peng
8 Fan, Hung-Yuan
8 Freitag, Melina A.
8 Kunisch, Karl
8 Poloni, Federico Giovanni
8 Pontes Duff, Igor
8 Robol, Leonardo
8 Singler, John R.
8 Unger, Benjamin
8 Watkins, David S.
8 Yücel, Hamdullah
7 Choi, Youngsoo
7 Du, Xin
7 Huang, Ting-Zhu
7 Jarlebring, Elias
7 Karasözen, Bülent
7 Lanteri, Stéphane
7 Li, Kun
7 Li, Liang
7 Luo, Zhendong
7 Marheineke, Nicole
7 Mehl, Christian
7 Narayan, Akil C.
7 Nouy, Anthony
7 Ohlberger, Mario
7 Reis, Timo
7 Uddin, Mohammad Monir
7 Uzunca, Murat
7 Wang, Xiaolong
7 Zhang, Zhiwen
7 Zimmermann, Ralf
6 Antil, Harbir
6 Baur, Ulrike
6 Bentbib, Abdeslem Hafid
6 Carlberg, Kevin T.
6 Chen, Xiaoshan
6 Damm, Tobias
6 Dehghan Takht Fooladi, Mehdi
6 Drmač, Zlatko
6 Elman, Howard C.
6 Fehr, Jörg
...and 2,164 more Authors
all top 5

Cited in 232 Serials

111 SIAM Journal on Scientific Computing
89 Linear Algebra and its Applications
87 Journal of Computational Physics
78 Computer Methods in Applied Mechanics and Engineering
63 Journal of Computational and Applied Mathematics
55 SIAM Journal on Matrix Analysis and Applications
47 Advances in Computational Mathematics
46 Journal of Scientific Computing
38 Applied Mathematics and Computation
35 Journal of the Franklin Institute
32 Numerical Algorithms
29 Computers & Mathematics with Applications
27 Applied Numerical Mathematics
26 Systems & Control Letters
25 International Journal of Control
25 Automatica
23 BIT
21 Numerical Linear Algebra with Applications
21 SIAM/ASA Journal on Uncertainty Quantification
19 SIAM Journal on Control and Optimization
19 Mathematical and Computer Modelling of Dynamical Systems
18 Numerische Mathematik
15 International Journal for Numerical Methods in Engineering
15 Computational and Applied Mathematics
13 Applied Mathematical Modelling
13 ETNA. Electronic Transactions on Numerical Analysis
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 International Journal of Systems Science. Principles and Applications of Systems and Integration
12 Mathematics and Computers in Simulation
12 GAMM-Mitteilungen
11 International Journal of Computer Mathematics
10 Computers and Fluids
10 Computational Mechanics
10 Vietnam Journal of Mathematics
10 Numerical Algebra, Control and Optimization
9 Mathematics of Computation
9 SIAM Journal on Numerical Analysis
9 Applied Mathematics Letters
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 MCSS. Mathematics of Control, Signals, and Systems
8 Automation and Remote Control
8 Mathematical Problems in Engineering
8 Computational Methods in Applied Mathematics
7 Journal of Fluid Mechanics
7 Linear and Multilinear Algebra
7 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 SIAM Journal on Applied Dynamical Systems
7 Communications in Computational Physics
6 Physica D
6 Numerical Methods for Partial Differential Equations
6 Journal of Mathematical Sciences (New York)
6 Multibody System Dynamics
6 Acta Numerica
6 Journal of Computational Dynamics
5 Inverse Problems
5 Journal of Mathematical Analysis and Applications
5 SIAM Review
5 Computational Optimization and Applications
5 ELA. The Electronic Journal of Linear Algebra
5 Advances in Difference Equations
5 East Asian Journal on Applied Mathematics
4 Calcolo
4 Circuits, Systems, and Signal Processing
4 Applications of Mathematics
4 SIAM Journal on Optimization
4 European Journal of Control
4 Doklady Mathematics
4 Computing and Visualization in Science
4 Journal of Numerical Mathematics
4 Journal of Applied Mathematics and Computing
4 Multiscale Modeling & Simulation
4 Oberwolfach Reports
4 Journal of Industrial and Management Optimization
4 Algorithms
4 Asian Journal of Control
4 Mathematical Control and Related Fields
4 Journal of Mathematics in Industry
4 Journal of Mathematical Modeling
3 ACM Transactions on Mathematical Software
3 Applied Mathematics and Optimization
3 International Journal of Robust and Nonlinear Control
3 Nonlinear Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 International Journal of Computational Methods
3 Evolution Equations and Control Theory
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Acta Mechanica
2 International Journal of Systems Science
2 Journal of Engineering Mathematics
2 Ukrainian Mathematical Journal
2 Journal of Optimization Theory and Applications
2 Optimal Control Applications & Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 COMPEL
2 Japan Journal of Industrial and Applied Mathematics
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Journal of Nonlinear Science
2 Turkish Journal of Mathematics
2 Filomat
...and 132 more Serials
all top 5

Cited in 54 Fields

1,039 Numerical analysis (65-XX)
524 Systems theory; control (93-XX)
362 Linear and multilinear algebra; matrix theory (15-XX)
257 Partial differential equations (35-XX)
187 Fluid mechanics (76-XX)
168 Calculus of variations and optimal control; optimization (49-XX)
87 Dynamical systems and ergodic theory (37-XX)
84 Computer science (68-XX)
80 Ordinary differential equations (34-XX)
79 Mechanics of deformable solids (74-XX)
73 Probability theory and stochastic processes (60-XX)
71 Operations research, mathematical programming (90-XX)
59 Statistics (62-XX)
59 Optics, electromagnetic theory (78-XX)
41 Approximations and expansions (41-XX)
41 Operator theory (47-XX)
40 Biology and other natural sciences (92-XX)
39 Mechanics of particles and systems (70-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Information and communication theory, circuits (94-XX)
11 Functions of a complex variable (30-XX)
10 General and overarching topics; collections (00-XX)
10 Functional analysis (46-XX)
10 Differential geometry (53-XX)
10 Geophysics (86-XX)
7 Combinatorics (05-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Quantum theory (81-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Special functions (33-XX)
5 Topological groups, Lie groups (22-XX)
5 Difference and functional equations (39-XX)
4 Group theory and generalizations (20-XX)
4 Real functions (26-XX)
4 Several complex variables and analytic spaces (32-XX)
3 History and biography (01-XX)
3 Algebraic geometry (14-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Number theory (11-XX)
2 Integral equations (45-XX)
2 Algebraic topology (55-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-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.