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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
41 Feng, Lihong
28 Goyal, Pawan
27 Saak, Jens
21 Quintana-Ortí, Enrique S.
19 Faßbender, Heike
18 Stoll, Martin
16 Grundel, Sara M.
14 Heiland, Jan
14 Mehrmann, Volker
12 Byers, Ralph
12 Pontes Duff, Igor
12 Quintana-Ortí, Gregorio
11 Kürschner, Patrick
11 Werner, Steffen W. R.
10 Breiten, Tobias
10 Chellappa, Sridhar
9 Baur, Ulrike
9 Zuyev, Aleksandr Leonidovich
8 Gugercin, Serkan
8 Kressner, Daniel
8 Xu, Hongguo
7 Khoromskaia, Venera
7 Khoromskiĭ, Boris Nikolaevich
7 Rozza, Gianluigi
7 Schilders, Wil H. A.
7 Stykel, Tatjana
7 Voigt, Matthias
7 Weichelt, Heiko K.
6 Ahmad, Mian Ilyas
6 Banagaaya, Nicodemus
6 Himpe, Christian
6 Mayo, Rafael
6 Mena, Hermann
6 Onwunta, Akwum
6 Redmann, Martin
6 Trautwein, Christoph
5 Damm, Tobias
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 Dolgov, Sergey V.
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 Behr, Maximilian
3 Bujanović, Zvonimir
3 de la Rubia, Valentín
3 Ezzatti, Pablo
3 Forootani, Ali
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 Yue, Yao
3 Zhang, Yongjin
2 Aliyev, Nicat
2 Antonini, Giulio
2 Beattie, Christopher A.
2 Cao, Xingang
2 Castillo, Maribel
2 Chuĭko, Sergeĭ Mikhaĭlovich
2 Clees, Tanja
2 Embree, Mark
2 Filanova, Yevgeniya
2 Gosea, Ion Victor
2 Heinkenschloss, Matthias
2 Hornung, Nils
2 Kapadia, Harshit
2 Korvink, Jan G.
2 Liang, Xin
2 Lombardi, Luigi
2 Losse, Philip
2 Meini, Beatrice
...and 152 more Co-Authors
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Serials

18 SIAM Journal on Scientific Computing
15 Linear Algebra and its Applications
14 Advances in Computational Mathematics
13 ETNA. Electronic Transactions on Numerical Analysis
12 SIAM Journal on Matrix Analysis and Applications
8 Numerical Algorithms
7 International Journal for Numerical Methods in Engineering
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 Systems & Control Letters
6 GAMM-Mitteilungen
5 Computer Methods in Applied Mechanics and Engineering
5 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 Computers and Fluids
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 Journal of Optimization Theory and Applications
1 Mathematische Nachrichten
1 SIAM Journal on Control and Optimization
1 Physica D
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 International Journal of Nonlinear Sciences and Numerical Simulation
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

271 Publications have been cited 4,144 times in 1,988 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
461
2015
Model reduction and approximation. Theory and algorithms. Zbl 1378.65010
219
2017
Dimension reduction of large-scale systems. Proceedings of a workshop, Oberwolfach, Germany, October 19–25, 2003. Zbl 1066.65004
138
2005
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
118
2008
Lyapunov equations, energy functionals, and model order reduction of bilinear and stochastic systems. Zbl 1217.93158
Benner, Peter; Damm, Tobias
106
2011
Model order reduction for linear and nonlinear systems: a system-theoretic perspective. Zbl 1348.93075
Baur, Ulrike; Benner, Peter; Feng, Lihong
102
2014
On the ADI method for Sylvester equations. Zbl 1176.65050
Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav
91
2009
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
85
2013
Interpolatory projection methods for parameterized model reduction. Zbl 1254.93032
Baur, Ulrike; Beattie, Christopher; Benner, Peter; Gugercin, Serkan
83
2011
Interpolation-based \({\mathcal H}_2\)-model reduction of bilinear control systems. Zbl 1256.93027
Benner, Peter; Breiten, Tobias
71
2012
Two-sided projection methods for nonlinear model order reduction. Zbl 1312.93016
Benner, Peter; Breiten, Tobias
56
2015
Solving stable generalized Lyapunov equations with the matrix sign function. Zbl 0940.65035
Benner, Peter; Quintana-Ortí, Enrique S.
50
1999
Low rank methods for a class of generalized Lyapunov equations and related issues. Zbl 1266.65068
Benner, Peter; Breiten, Tobias
50
2013
\(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048
Benner, Peter; Goyal, Pawan; Gugercin, Serkan
43
2018
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem. Zbl 0884.65028
Benner, Peter; Faßbender, Heike
40
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
40
1998
SLICOT – a subroutine library in systems and control theory. Zbl 1051.93500
Benner, Peter; Mehrmann, Volker; Sima, Vasile; Van Huffel, Sabine; Varga, Andras
37
1999
Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems. Zbl 0896.65047
Benner, Peter
37
1997
Self-generating and efficient shift parameters in ADI methods for large Lyapunov and Sylvester equations. Zbl 1312.65068
Benner, Peter; Kürschner, Patrick; Saak, Jens
37
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
33
2016
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils. Zbl 1035.49022
Benner, Peter; Byers, Ralph; Mehrmann, Volker; Xu, Hongguo
33
2002
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
33
2020
An exact line search method for solving generalized continuous-time algebraic Riccati equations. Zbl 0908.93026
Benner, Peter; Byers, Ralph
32
1998
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
32
2017
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. Zbl 1267.65047
Benner, Peter; Kürschner, Patrick; Saak, Jens
32
2013
A robust algorithm for parametric model order reduction based on implicit moment matching. Zbl 1312.65109
Benner, Peter; Feng, Lihong
31
2014
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. Zbl 1385.65035
Benner, Peter; Bujanović, Zvonimir; Kürschner, Patrick; Saak, Jens
31
2018
Cross-Gramian based model reduction for data-sparse systems. Zbl 1170.93315
Baur, Ulrike; Benner, Peter
31
2008
Model order reduction for PDE constrained optimization. Zbl 1327.49043
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan
30
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
30
2014
Rosenbrock methods for solving Riccati differential equations. Zbl 1369.65088
Benner, Peter; Mena, Hermann
30
2013
Factorized solution of Lyapunov equations based on hierarchical matrix arithmetic. Zbl 1111.65039
Baur, U.; Benner, P.
29
2006
Model reduction for stochastic systems. Zbl 1331.65017
Benner, Peter; Redmann, Martin
28
2015
Frequency-limited balanced truncation with low-rank approximations. Zbl 1391.65123
Benner, Peter; Kürschner, Patrick; Saak, Jens
27
2016
An improved numerical method for balanced truncation for symmetric second-order systems. Zbl 1305.93043
Benner, Peter; Kürschner, Patrick; Saak, Jens
26
2013
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
26
2017
Model order reduction for differential-algebraic equations: a survey. Zbl 1402.93069
Benner, Peter; Stykel, Tatjana
26
2017
Low-rank solution of unsteady diffusion equations with stochastic coefficients. Zbl 1325.65016
Benner, Peter; Onwunta, Akwum; Stoll, Martin
25
2015
A semi-discretized heat transfer model for optimal cooling of steel profiles. Zbl 1170.80341
Benner, Peter; Saak, Jens
24
2005
Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows. Zbl 1312.93083
Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K.
24
2015
Skew-Hamiltonian and Hamiltonian eigenvalue problems: theory, algorithms and applications. Zbl 1069.65034
Benner, Peter; Kressner, Daniel; Mehrmann, Volker
22
2005
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
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.
21
2016
Computing real low-rank solutions of Sylvester equations by the factored ADI method. Zbl 1364.65093
Benner, Peter; Kürschner, Patrick
21
2014
An arithmetic for matrix pencils: theory and new algorithms. Zbl 1101.65046
Benner, Peter; Byers, Ralph
21
2006
On the solution of large-scale algebraic Riccati equations by using low-dimensional invariant subspaces. Zbl 1330.15017
Benner, Peter; Bujanović, Zvonimir
20
2016
Model order reduction. Volume 1: System- and data-driven methods and algorithms. Zbl 1473.93004
20
2021
Recycling BiCGSTAB with an application to parametric model order reduction. Zbl 1325.65044
Ahuja, Kapil; Benner, Peter; de Sturler, Eric; Feng, Lihong
19
2015
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
19
2014
Block-diagonal preconditioning for optimal control problems constrained by PDEs with uncertain inputs. Zbl 1382.65074
Benner, Peter; Onwunta, Akwum; Stoll, Martin
19
2016
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
Efficient balancing-based MOR for large-scale second-order systems. Zbl 1221.93039
Benner, Peter; Saak, Jens
19
2011
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems. Zbl 1230.93010
Benner, P.; Breiten, T.; Damm, T.
19
2011
Optimal damping of selected eigenfrequencies using dimension reduction. Zbl 1289.70028
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav
18
2013
Dimension reduction for damping optimization in linear vibrating systems. Zbl 1370.70041
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav
18
2011
On the numerical solution of large-scale sparse discrete-time Riccati equations. Zbl 1230.65070
Benner, Peter; Faßbender, Heike
18
2011
Balanced truncation model reduction of large-scale dense systems on parallel computers. Zbl 0978.93013
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
18
2000
Evaluating products of matrix pencils and collapsing matrix products. Zbl 1055.65053
Benner, Peter; Byers, Ralph
18
2001
An efficient output error estimation for model order reduction of parametrized evolution equations. Zbl 1382.65281
Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter
17
2015
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
\(\mathcal L_\infty\)-norm computation for continuous-time descriptor systems using structured matrix pencils. Zbl 1369.93174
Benner, Peter; Sima, Vasile; Voigt, Matthias
17
2012
Krylov-subspace based model reduction of nonlinear circuit models using bilinear and quadratic-linear approximations. Zbl 1246.78035
Benner, Peter; Breiten, Tobias
17
2012
The symplectic eigenvalue problem, the butterfly form, the SR algorithm, and the Lanczos method. Zbl 0935.65030
Benner, Peter; Faßbender, Heike
16
1998
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
16
2020
Some a posteriori error bounds for reduced-order modelling of (non-)parametrized linear systems. Zbl 1382.37105
Feng, Lihong; Antoulas, Athanasios C.; Benner, Peter
16
2017
Efficient algorithms for generalized algebraic Bernoulli equations based on the matrix sign function. Zbl 1132.65033
Barrachina, Sergio; Benner, Peter; Quintana-Ortí, Enrique S.
16
2007
A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process. Zbl 1219.65040
Benner, Peter; Faßbender, Heike; Stoll, Martin
16
2011
Uncertainty quantification for Maxwell’s equations using stochastic collocation and model order reduction. Zbl 1498.78026
Benner, Peter; Schneider, Judith
16
2015
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
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
15
2015
Range-separated tensor format for many-particle modeling. Zbl 1446.65202
Benner, Peter; Khoromskaia, Venera; Khoromskij, Boris N.
15
2018
Solving stable Sylvester equations via rational iterative schemes. Zbl 1098.65041
Benner, Peter; Quintana-Ortí, Enrique S.; Quintana-Ortí, Gregorio
15
2006
Perturbation analysis for the eigenvalue problem of a formal product of matrices. Zbl 1003.65032
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
15
2002
Numerical linear algebra methods for linear differential-algebraic equations. Zbl 1343.65100
Benner, Peter; Losse, Philip; Mehrmann, Volker; Voigt, Matthias
14
2015
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
Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063
Benner, Peter; Goyal, Pawan; Van Dooren, Paul
14
2020
Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041
Benner, Peter; Goyal, Pawan
14
2021
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations. Zbl 1171.65402
Benner, Peter; Mena, Hermann; Saak, Jens
14
2008
Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015
Behr, Maximilian; Benner, Peter; Heiland, Jan
14
2019
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.
13
2016
LQG-balanced truncation low-order controller for stabilization of laminar flows. Zbl 1308.76105
Benner, Peter; Heiland, Jan
13
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.
13
2019
A structured pseudospectral method for \(\mathcal {H}_{\infty}\)-norm computation of large-scale descriptor systems. Zbl 1290.93083
Benner, Peter; Voigt, Matthias
12
2014
Model order reduction for coupled problems (survey). Zbl 1455.74003
Benner, Peter; Feng, Lihong
12
2015
Parameter preserving model order reduction for MEMS applications. Zbl 1302.74063
Baur, U.; Benner, P.; Greiner, A.; Korvink, J. G.; Lienemann, J.; Moosmann, C.
12
2011
Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001
12
2021
Model order reduction. Volume 3: Applications. Zbl 1455.93002
12
2021
Subspace recycling accelerates the parametric macro-modeling of MEMS. Zbl 1352.74479
Feng, Lihong; Benner, Peter; Korvink, Jan G.
12
2013
Trends in PDE constrained optimization. Zbl 1306.49001
12
2014
Stabilization of incompressible flow problems by Riccati-based feedback. Zbl 1356.93077
Bänsch, Eberhard; Benner, Peter
11
2012
A note on the numerical solution of complex Hamiltonian and skew-Hamiltonian eigenvalue problems. Zbl 0936.65045
Benner, Peter; Mehrmann, Volker; Xu, Hongguo
11
1999
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.
11
2013
A reduced basis method for microwave semiconductor devices with geometric variations. Zbl 1358.78055
Hess, Martin W.; Benner, Peter
11
2014
An implicitly restarted symplectic Lanczos method for the symplectic eigenvalue problem. Zbl 0985.65026
Benner, Peter; Fassbender, Heike
11
2000
Partial stabilization of descriptor systems using spectral projectors. Zbl 1250.93061
Benner, Peter
11
2011
Numerical solution of projected algebraic Riccati equations. Zbl 1298.65076
Benner, Peter; Stykel, Tatjana
10
2014
Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. Zbl 1336.93056
Benner, Peter; Kürschner, Patrick; Saak, Jens
10
2016
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
10
2016
Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323
Baumann, Manuel; Benner, Peter; Heiland, Jan
10
2018
Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. Zbl 1536.65127
Kapadia, Harshit; Feng, Lihong; Benner, Peter
3
2024
Adjacency-based, non-intrusive model reduction for vortex-induced vibrations. Zbl 07875893
Gkimisis, Leonidas; Richter, Thomas; Benner, Peter
1
2024
Model reduction for second-order systems with inhomogeneous initial conditions. Zbl 1536.93112
Przybilla, Jennifer; Pontes Duff, Igor; Benner, Peter
1
2024
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems. Zbl 1536.93106
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
1
2024
A periodic boundary value problem with switchings under nonlinear perturbations. Zbl 1531.34022
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.
2
2023
A unifying framework for tangential interpolation of structured bilinear control systems. Zbl 1533.93084
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
2
2023
On an integrated Krylov-ADI solver for large-scale Lyapunov equations. Zbl 07644383
Benner, Peter; Palitta, Davide; Saak, Jens
1
2023
Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems. Zbl 07801065
Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter
1
2023
Parallel algorithms for tensor train arithmetic. Zbl 1484.65088
Al Daas, Hussam; Ballard, Grey; Benner, Peter
8
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.
6
2022
A non-intrusive method to inferring linear port-Hamiltonian realizations using time-domain data. Zbl 1492.93037
Cherifi, Karim; Goyal, Pawan; Benner, Peter
6
2022
An adaptive sampling approach for the reduced basis method. Zbl 1504.93036
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
5
2022
Data-driven identification of Rayleigh-damped second-order systems. Zbl 1504.93062
Duff, Igor Pontes; Goyal, Pawan; Benner, Peter
5
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
5
2022
Gramians, energy functionals, and balanced truncation for linear dynamical systems with quadratic outputs. Zbl 1537.93109
Benner, Peter; Goyal, Pawan; Pontes Duff, Igor
4
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
Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Zbl 1487.93006
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
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
20
2021
Interpolation-based model order reduction for polynomial systems. Zbl 1458.93041
Benner, Peter; Goyal, Pawan
14
2021
Model order reduction. Volume 2: Snapshot-based methods and algorithms. Zbl 1455.93001
12
2021
Model order reduction. Volume 3: Applications. Zbl 1455.93002
12
2021
Structure-preserving interpolation of bilinear control systems. Zbl 1470.93032
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
10
2021
MORLAB – the model order reduction laboratory. Zbl 1480.93049
Benner, Peter; Werner, Steffen W. R.
7
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
7
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
7
2021
Frequency- and time-limited balanced truncation for large-scale second-order systems. Zbl 1467.93050
Benner, Peter; Werner, Steffen W. R.
6
2021
On the solution of the nonsymmetric T-Riccati equation. Zbl 1459.15015
Benner, Peter; Palitta, Davide
5
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
5
2021
On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086
Feng, Lihong; Benner, Peter
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
5
2021
Model order reduction for bilinear control systems with inhomogeneous initial conditions. Zbl 1478.93080
Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil
5
2021
Model order reduction for gas and energy networks. Zbl 1490.93021
Himpe, Christian; Grundel, Sara; Benner, Peter
4
2021
Model order reduction for delay systems by iterative interpolation. Zbl 07863087
Alfke, Dominik; Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter
3
2021
Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. Zbl 1507.65210
Sarna, Neeraj; Benner, Peter
3
2021
Structure-preserving interpolation for model reduction of parametric bilinear systems. Zbl 1478.93079
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R.
3
2021
A training set subsampling strategy for the reduced basis method. Zbl 1502.65262
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
3
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
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
A low-rank approach for nonlinear parameter-dependent fluid-structure interaction problems. Zbl 1478.74024
Benner, Peter; Richter, Thomas; Weinhandl, Roman
2
2021
Relative perturbation theory for quadratic Hermitian eigenvalue problems. Zbl 1470.65059
Benner, Peter; Liang, Xin; Miodragović, Suzana; Truhar, Ninoslav
2
2021
Stabilization of crystallization models governed by hyperbolic systems. Zbl 1461.93393
Zuyev, Alexander; Benner, Peter
2
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
On the eigenvalue distribution for a beam with attached masses. Zbl 1461.93178
Kalosha, Julia; Zuyev, Alexander; Benner, Peter
1
2021
Model order reduction based on moment-matching. Zbl 07445313
Benner, Peter; Feng, Lihong
1
2021
A stochastic maximum principle for control problems constrained by the stochastic Navier-Stokes equations. Zbl 1477.35117
Benner, Peter; Trautwein, Christoph
1
2021
Preface: Topical issue scientific machine learning. I. Zbl 1538.00011
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
33
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
16
2020
Identification of port-Hamiltonian systems from frequency response data. Zbl 1451.93063
Benner, Peter; Goyal, Pawan; Van Dooren, Paul
14
2020
Adaptive basis construction and improved error estimation for parametric nonlinear dynamical systems. Zbl 07864078
Chellappa, Sridhar; Feng, Lihong; Benner, Peter
8
2020
A subspace framework for \(\mathcal{H}_\infty \)-norm minimization. Zbl 1461.93123
Aliyev, Nicat; Benner, Peter; Mengi, Emre; Voigt, Matthias
8
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
Hankel-norm approximation of large-scale descriptor systems. Zbl 1441.93044
Benner, Peter; Werner, Steffen W. R.
2
2020
Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. Zbl 07704919
Kweyu, Cleophas; Feng, Lihong; Stein, Matthias; Benner, Peter
2
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
Low-rank linear fluid-structure interaction discretizations. Zbl 07812940
Weinhandl, Roman; Benner, Peter; Richter, Thomas
2
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 1533.93049
Duff, Igor Pontes; Grundel, Sara; Benner, Peter
1
2020
Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations. Zbl 1451.76045
Benner, Peter; Trautwein, Christoph
1
2020
Solution formulas for differential Sylvester and Lyapunov equations. Zbl 1432.15015
Behr, Maximilian; Benner, Peter; Heiland, Jan
14
2019
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions. Zbl 1461.49047
Benner, P.; Seidel-Morgenstern, A.; Zuyev, A.
13
2019
A low-rank inexact Newton-Krylov method for stochastic eigenvalue problems. Zbl 1420.65043
Benner, Peter; Onwunta, Akwum; Stoll, Martin
9
2019
Gas network benchmark models. Zbl 1445.76065
Benner, Peter; Grundel, Sara; Himpe, Christian; Huck, Christoph; Streubel, Tom; Tischendorf, Caren
8
2019
Extended and improved criss-cross algorithms for computing the spectral value set abscissa and radius. Zbl 1457.93066
Benner, Peter; Mitchell, Tim
7
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
Optimal control problems constrained by the stochastic Navier-Stokes equations with multiplicative Lévy noise. Zbl 1420.93036
Benner, Peter; Trautwein, Christoph
5
2019
Cross-Gramian-based dominant subspaces. Zbl 1440.93043
Benner, Peter; Himpe, Christian
5
2019
Greedy low-rank algorithm for spatial connectome regression. Zbl 1437.92005
Kürschner, Patrick; Dolgov, Sergey; Harris, Kameron Decker; Benner, Peter
3
2019
Sparse (P)MOR for electro-thermal coupled problems with many inputs. Zbl 1442.78011
Banagaaya, Nicodemus; Feng, Lihong; Benner, Peter
2
2019
A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. Zbl 1499.65362
Ilyas Ahmad, Mian; Benner, Peter; Feng, Lihong
2
2019
Parametric model order reduction for electro-thermal coupled problems. Zbl 1443.78013
Feng, Lihong; Benner, Peter
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
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
\(\mathcal H_2\)-quasi-optimal model order reduction for quadratic-bilinear control systems. Zbl 1418.93048
Benner, Peter; Goyal, Pawan; Gugercin, Serkan
43
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
31
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.
15
2018
Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. Zbl 1392.35323
Baumann, Manuel; Benner, Peter; Heiland, Jan
10
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
8
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.
4
2018
Model reduction by iterative error system approximation. Zbl 1485.93090
Antoulas, A. C.; Benner, Peter; Feng, Lihong
3
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.
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
A linear quadratic control problem for the stochastic heat equation driven by Q-Wiener processes. Zbl 1370.93315
Benner, Peter; Trautwein, Christoph
3
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
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
A direct index 1 DAE model of gas networks. Zbl 1416.78021
Benner, Peter; Braukmüller, Maike; Grundel, Sara
1
2018
Adaptive discontinuous Galerkin approximation of optimal control problems governed by transient convection-diffusion equations. Zbl 1412.65228
Yücel, Hamdullah; Stoll, Martin; Benner, Peter
1
2018
Numerical investigation of Newton’s method for solving discrete-time algebraic Riccati equations. Zbl 07765455
Sima, Vasile; Benner, Peter
1
2018
Model reduction and approximation. Theory and algorithms. Zbl 1378.65010
219
2017
...and 171 more Documents
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Cited by 2,681 Authors

195 Benner, Peter
48 Jiang, Yaolin
40 Gugercin, Serkan
39 Mehrmann, Volker
38 Rozza, Gianluigi
33 Peherstorfer, Benjamin
27 Feng, Lihong
25 Stoll, Martin
25 Willcox, Karen E.
24 Redmann, Martin
24 Simoncini, Valeria
23 Breiten, Tobias
23 Kressner, Daniel
23 Saak, Jens
23 Stykel, Tatjana
19 Faßbender, Heike
19 Goyal, Pawan
19 Krämer, Boris
19 Kürschner, Patrick
18 Beattie, Christopher A.
18 Manzoni, Andrea
17 Haasdonk, Bernard
17 Kutz, J. Nathan
17 Tomljanović, Zoran
17 Voigt, Matthias
16 Brunton, Steven L.
16 Hesthaven, Jan S.
16 Khoromskiĭ, Boris Nikolaevich
16 Luo, Zhendong
15 Gosea, Ion Victor
15 Grundel, Sara M.
15 Jbilou, Khalide
15 Mena, Hermann
15 Werner, Steffen W. R.
14 Dolgov, Sergey V.
14 Heinkenschloss, Matthias
14 Quintana-Ortí, Enrique S.
14 Xiao, Zhihua
13 Antoulas, Athanasios C.
13 Eberhard, Peter
13 Hajarian, Masoud
13 Palitta, Davide
13 Pontes Duff, Igor
12 Alla, Alessandro
12 Heiland, Jan
12 Pulch, Roland
12 Quarteroni, Alfio M.
12 Stabile, Giovanni
12 Van Dooren, Paul M.
11 Ballarin, Francesco
11 Du, Xin
11 King-wah Chu, Eric
11 Mitchell, Tim
11 Truhar, Ninoslav
11 Xu, Hongguo
11 Xu, Kangli
10 Kunisch, Karl
10 Robol, Leonardo
10 Singler, John R.
10 Yadykin, Igor Borisovich
9 Damm, Tobias
9 de Sturler, Eric
9 Fan, Hung-Yuan
9 Himpe, Christian
9 Jarlebring, Elias
9 Lin, Wen-Wei
9 Ma, Changfeng
9 Nouy, Anthony
9 Ohlberger, Mario
9 Poloni, Federico Giovanni
9 Unger, Benjamin
9 Yücel, Hamdullah
8 Ahmad, Mian Ilyas
8 Chen, Peng
8 Choi, Youngsoo
8 Dehghan Takht Fooladi, Mehdi
8 Desmet, Wim
8 Freitag, Melina A.
8 Fresca, Stefania
8 Karasözen, Bülent
8 Khoromskaia, Venera
8 Marheineke, Nicole
8 Mehl, Christian
8 Narayan, Akil C.
8 Qi, Zhen-Zhong
8 Uzunca, Murat
8 Wang, Xiaolong
8 Watkins, David S.
8 Zimmermann, Ralf
7 Antil, Harbir
7 Bentbib, Abdeslem Hafid
7 Carlberg, Kevin T.
7 Chen, Xiaoshan
7 Fehr, Jörg
7 Huang, Ting-Zhu
7 Karatzas, Efthymios N.
7 Lanteri, Stéphane
7 Li, Kun
7 Li, Liang
7 Massei, Stefano
...and 2,581 more Authors
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Cited in 248 Serials

126 SIAM Journal on Scientific Computing
103 Computer Methods in Applied Mechanics and Engineering
99 Journal of Computational Physics
93 Linear Algebra and its Applications
73 Journal of Computational and Applied Mathematics
59 SIAM Journal on Matrix Analysis and Applications
59 Advances in Computational Mathematics
52 Numerical Linear Algebra with Applications
51 Journal of Scientific Computing
44 International Journal for Numerical Methods in Engineering
40 Journal of the Franklin Institute
40 Applied Mathematics and Computation
35 Applied Numerical Mathematics
34 Numerical Algorithms
33 Systems & Control Letters
32 Computers & Mathematics with Applications
32 Automatica
29 International Journal of Control
23 BIT
22 SIAM/ASA Journal on Uncertainty Quantification
21 Numerische Mathematik
20 Mathematical and Computer Modelling of Dynamical Systems
19 SIAM Journal on Control and Optimization
19 Computational and Applied Mathematics
18 ETNA. Electronic Transactions on Numerical Analysis
15 Applied Mathematical Modelling
14 Mathematics and Computers in Simulation
14 GAMM-Mitteilungen
14 International Journal of Systems Science. Principles and Applications of Systems and Integration
13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Asian Journal of Control
11 Computers and Fluids
11 Physica D
11 Computational Mechanics
11 Applied Mathematics Letters
11 International Journal of Computer Mathematics
10 Journal of Mathematical Analysis and Applications
10 MCSS. Mathematics of Control, Signals, and Systems
10 Vietnam Journal of Mathematics
10 Numerical Algebra, Control and Optimization
9 Mathematics of Computation
9 SIAM Journal on Numerical Analysis
9 Automation and Remote Control
9 Computational Methods in Applied Mathematics
8 Mathematical Problems in Engineering
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Chaos
8 SIAM Journal on Applied Dynamical Systems
7 Journal of Fluid Mechanics
7 Linear and Multilinear Algebra
7 Mathematical Methods in the Applied Sciences
7 SIAM Review
7 Journal of Mathematical Sciences (New York)
7 Acta Numerica
7 Communications in Computational Physics
7 East Asian Journal on Applied Mathematics
6 Numerical Methods for Partial Differential Equations
6 Computational Optimization and Applications
6 Multibody System Dynamics
6 Journal of Computational Dynamics
5 Inverse Problems
5 Journal of Optimization Theory and Applications
5 Optimal Control Applications & Methods
5 International Journal of Robust and Nonlinear Control
5 ELA. The Electronic Journal of Linear Algebra
5 Doklady Mathematics
5 Advances in Difference Equations
5 IET Control Theory & Applications
5 Journal of Mathematics in Industry
5 Journal of Applied Analysis and Computation
4 ACM Transactions on Mathematical Software
4 Calcolo
4 Circuits, Systems, and Signal Processing
4 Applications of Mathematics
4 SIAM Journal on Optimization
4 Engineering Analysis with Boundary Elements
4 European Journal of Control
4 Computing and Visualization in Science
4 Communications in Nonlinear Science and Numerical Simulation
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 Networks and Heterogeneous Media
4 Algorithms
4 Mathematical Control and Related Fields
4 Journal of Mathematical Modeling
3 Journal of Engineering Mathematics
3 Ukrainian Mathematical Journal
3 Applied Mathematics and Optimization
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 International Journal of Computational Fluid Dynamics
3 Nonlinear Dynamics
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Applied Mathematics
3 International Journal of Computational Methods
3 Journal of Statistical Mechanics: Theory and Experiment
3 Evolution Equations and Control Theory
...and 148 more Serials
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Cited in 54 Fields

1,248 Numerical analysis (65-XX)
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198 Calculus of variations and optimal control; optimization (49-XX)
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