Publications

301.

Journal Article

Köhler, M.; Saak, J.: On BLAS Level-3 Implementations of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. ACM Transactions on Mathematical Software 43 (1), 3 (2016)

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DOI

302.

Journal Article

Lang, N.; Saak, J.; Stykel, T.: Balanced Truncation Model Reduction for Linear Time-Varying Systems. Mathematical and Computer Modelling of Dynamical Systems 22 (4), pp. 267 - 281 (2016)

MPG.PuRe

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303.

Journal Article

Naumann, A.; Lang, N.; Partzsch, M.; Beitelschmidt, M.; Benner, P.; Voigt, A.; Wensch, J.: Computation of Thermo-Elastic Deformations on Machine Tools - A study of Numerical Methods. Production Engineering 10 (3), pp. 253 - 263 (2016)

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304.

Journal Article

Silva, J. P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.; Benner, P.: Balancing Energy and Performance in Dense Linear System Solvers for Hybrid ARM+GPU. CLEI Electronic Journal 19 (1), 2, 13 pages (2016)

MPG.PuRe

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publisher-version

305.

Journal Article

ter Maten, E. J. W.; Putek, P.; Günther, M.; Pulch, R.; Tischendorf, C.; Strohm, C.; Schoenmaker, W.; Meuris, P.; de Smedt, B.; Benner, P. et al.; Feng, L.; Banagaaya, N.; Yue, Y.; Janssen, R.; Dohmen, J. J.; Tasić, B.; Deleu, F.; Gillon, R.; Wieers, A.; Brachtendorf, H.-G.; Bittner, K.; Kratochvíl, T.; Petřzela, J.; Sotner, R.; Göthans, T.; Dřínovský, J.; Schöps, S.; Duque Guerra, D. J.; Casper, T.; De Gersem, H.; Römer, U.; Reynier, P.; Barroul, P.; Masliah, D.; Rousseau, B.: Nanoelectronic COupled Problems Solutions - nanoCOPS: Modelling, Multirate, Model Order Reduction, Uncertainty Quantification, Fast Fault Simulation. Journal of Mathematics in Industry 7 (1), 2, 19 pages (2016)

MPG.PuRe

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publisher-version

306.

Journal Article

Zuyev, A.: Exponential Stabilization of Nonholonomic Systems by Means of Oscillating Controls. SIAM Journal on Control and Optimization 54 (3), pp. 1678 - 1696 (2016)

MPG.PuRe

DOI

publisher-version

307.

Journal Article

Ahuja, K.; Benner, P.; de Sturler, E.; Feng, L.: Recycling BiCGSTAB with an Application to Parametric Model Order Reduction. SIAM Journal on Scientific Computing 37 (5), pp. S429 - S446 (2015)

MPG.PuRe

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publisher-version

308.

Journal Article

Altmann, R.; Heiland, J.: Finite Element Decomposition and Minimal Extension for Flow Equations. ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), pp. 1489 - 1509 (2015)

MPG.PuRe

DOI

publisher-version

309.

Journal Article

Bänsch, E.; Benner, P.; Saak, J.; Weichelt, H. K.: Riccati-Based Boundary Feedback Stabilization of Incompressible Navier-Stokes Flow. SIAM Journal on Scientific Computing 37 (2), pp. A832 - A858 (2015)

MPG.PuRe

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publisher-version

310.

Journal Article

Benner, P.; Breiten, T.: Two-Sided Projection Methods for Nonlinear Model Order Reduction. SIAM Journal on Scientific Computing 37 (2), pp. B239 - B260 (2015)

MPG.PuRe

DOI

publisher-version

311.

Journal Article

Benner, P.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Unleashing GPU Acceleration for Symmetric Band Linear Algebra Kernels and Model Reduction. Cluster Computing 18 (4), pp. 1351 - 1362 (2015)

MPG.PuRe

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312.

Journal Article

Benner, P.; Feng, L.: Model Order Reduction for Coupled Problems: Survey. Applied and Computational Mathematics: An International Journal 14 (1), pp. 3 - 22 (2015)

MPG.PuRe

313.

Journal Article

Benner, P.; Grundel, S.: Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain Systems. Applied Mathematics Letters 39, pp. 1 - 6 (2015)

MPG.PuRe

DOI

314.

Journal Article

Benner, P.; Grundel, S.; Hornung, N.: Parametric Model Order Reduction with a Small H₂-Error Using Radial Basis Functions. Advances in Computational Mathematics 41 (5), pp. 1231 - 1253 (2015)

MPG.PuRe

DOI

315.

Journal Article

Benner, P.; Gugercin, S.; Willcox, K.: A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems. SIAM Review 57 (4), pp. 483 - 531 (2015)

MPG.PuRe

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publisher-version

316.

Journal Article

Benner, P.; Heiland, J.: Time-dependent Dirichlet Conditions in Finite Element Discretizations. ScienceOpen Research, pp. 1 - 18 (2015)

MPG.PuRe

DOI

publisher-version

317.

Journal Article

Benner, P.; Mena, H.; Schneider, R.: Drogen, Herbizide und numerische Simulation. Mitteilungen der DMV 23 (4), pp. 222 - 225 (2015)

MPG.PuRe

DOI

318.

Journal Article

Benner, P.; Novaković, V.; Plaza, A.; Quintana-Ortí, E. S.; Remón, A.: Fast and Reliable Noise Estimation for Hyperspectral Subspace Identification. IEEE Geoscience and Remote Sensing Letters 12 (6), pp. 1199 - 1203 (2015)

MPG.PuRe

DOI

319.

Journal Article

Benner, P.; Onwunta, A.; Stoll, M.: Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients. SIAM/ASA Journal on Uncertainty Quantification 3 (1), pp. 622 - 649 (2015)

MPG.PuRe

DOI

publisher-version

320.

Journal Article

Benner, P.; Redmann, M.: Model Reduction for Stochastic Systems. Stochastic Partial Differential Equations: Analysis and Computations 3 (3), pp. 291 - 338 (2015)

MPG.PuRe

DOI

321.

Journal Article

Benner, P.; Remón, A.; Dufrechou, E.; Ezzatti, P.; Quintana-Ortí, E. S.: Extending Lyapack for the Solution of Band Lyapunov Equations on Hybrid CPU-GPU Platforms. The Journal of Supercomputing 71 (2), pp. 740 - 750 (2015)

MPG.PuRe

DOI

322.

Journal Article

Benner, P.; Schneider, J.: Uncertainty Quantification for Maxwell's Equations Using Stochastic Collocation and Model Order Reduction. International Journal for Uncertainty Quantification 5 (3), pp. 195 - 208 (2015)

MPG.PuRe

DOI

publisher-version

323.

Journal Article

Biermann, H.; Grundel, S.; Zorin, D.: Smoothness of Subdivision Surfaces with Boundary. Constructive Approximation 42 (1), pp. 1 - 29 (2015)

MPG.PuRe

DOI

324.

Journal Article

Bruns, A.; Benner, P.: Parametric Model Order Reduction of Thermal Models Using the Bilinear Interpolatory Rational Krylov Algorithm. Mathematical and Computer Modelling of Dynamical Systems 21 (2), pp. 103 - 129 (2015)

MPG.PuRe

DOI

325.

Journal Article

Bujanović, Z.; Drmač, Z.: A new framework for implicit restarting of the Krylov–Schur algorithm. Numerical Linear Algebra with Applications 22 (2), pp. 220 - 232 (2015)

MPG.PuRe

DOI

326.

Journal Article

De Luca, G.; Antonini, G.; Benner, P.: Parallel Model Order Reduction of Sparse Electromagnetic/Circuit Models. Applied Computational Electromagnetics Society Journal 30 (1), pp. S1 - 21 (2015)

MPG.PuRe

327.

Journal Article

Feng, L.; Korvink, J. G.; Benner, P.: A Fully Adaptive Scheme for Model Order Reduction Based on Moment-Matching. IEEE Transactions on Components, Packaging, and Manufacturing Technology 5 (12), pp. 1872 - 1884 (2015)

MPG.PuRe

DOI

328.

Journal Article

Freitag, M. A.; Kürschner, P.: Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration. Numerical Linear Algebra with Applications 22 (1), pp. 175 - 196 (2015)

MPG.PuRe

DOI

329.

Journal Article

Hess, M. W.; Grundel, S.; Benner, P.: Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. IEEE Transactions on Microwave Theory and Techniques 63 (11), pp. 3549 - 3557 (2015)

MPG.PuRe

DOI

330.

Journal Article

Hossain, M.-S.; Uddin, M. M.: Reduce Order Modelling of Power System Models Using Interpolatory Projections Technique. International Journal of Modeling and Optimization 5 (3), pp. 228 - 233 (2015)

MPG.PuRe

DOI

publisher-version

331.

Journal Article

Khoromskaia, V.; Khoromskij, B. N.: Tensor numerical methods in quantum chemistry: from Hartree–Fock to excitation energies. Physical Chemistry Chemical Physics 17 (47), pp. 31491 - 31509 (2015)

MPG.PuRe

DOI

publisher-version

332.

Journal Article

Lang, N.; Mena, H.; Saak, J.: On the Benefits of the LDL^T Factorization for Large-Scale Differential Matrix Equation Solvers. Linear Algebra and its Applications 480, pp. 44 - 71 (2015)

MPG.PuRe

DOI

333.

Journal Article

Lang, N.; Saak, J.; Benner, P.; Ihlenfeldt, S.; Nestmann, S.; Schädlich, K.: Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control Approach. Production Engineering: Development & Research 9 (3), pp. 343 - 349 (2015)

MPG.PuRe

DOI

post-print

334.

Journal Article

Liang, X.; Li, R.-C.: The Hyperbolic Quadratic Eigenvalue Problem. Forum of Mathematics, Sigma 3, e13 (2015)

MPG.PuRe

DOI

publisher-version

335.

Journal Article

Mangold, M.; Feng, L.; Khlopov, D.; Palis, S.; Benner, P.; Binev, D.; Seidel-Morgenstern, A.: Nonlinear model reduction of a continuous fluidized bed crystallizer. Journal of Computational and Applied Mathematics 289, pp. 253 - 266 (2015)

MPG.PuRe

DOI

336.

Journal Article

Saak, J.; Remón, A.: Interview: "Energiesparende Algorithmen?: Hochleistungsrechner auf dem Prüfstand". Laborpraxis (39), pp. 16 - 17 (2015)

MPG.PuRe

337.

Journal Article

Yücel, H.; Benner, P.: Adaptive Discontinuous Galerkin Methods for State Constrained Optimal Control Problems Governed by Convection Diffusion Equations. Computational Optimization and Applications 62 (1), pp. 291 - 321 (2015)

MPG.PuRe

DOI

338.

Journal Article

Yücel, H.; Stoll, M.; Benner, P.: A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms. Computers and Mathematics with Applications 70 (10), pp. 2414 - 2431 (2015)

MPG.PuRe

DOI

339.

Journal Article

Zhang, Y.; Feng, L.; Li, S.; Benner, P.: Accelerating PDE Constrained Optimization by the Reduced Basis Method: Application to Batch Chromatography. International Journal for Numerical Methods in Engineering 104 (11), pp. 983 - 1007 (2015)

MPG.PuRe

DOI

340.

Journal Article

Zhang, Y.; Feng, L.; Li, S.; Benner, P.: An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations. SIAM Journal on Scientific Computing 37 (6), pp. B910 - B936 (2015)

MPG.PuRe

DOI

publisher-version

341.

Journal Article

Zuyev, A.; Sawodny, O.: Modelling and Control of a Shell Structure Based on a Finite Dimensional Variational Formulation. Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences 21 (6), pp. 591 - 612 (2015)

MPG.PuRe

DOI

publisher-version

342.

Journal Article

Akman, T.; Yücel, H.; Karasözen, B.: A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Computational Optimization and Applications 57 (3), pp. 703 - 729 (2014)

MPG.PuRe

DOI

343.

Journal Article

Baur, U.; Benner, P.; Feng, L.: Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective. Archives of Computational Methods in Engineering 21 (4), pp. 331 - 358 (2014)

MPG.PuRe

DOI

344.

Journal Article

Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)

MPG.PuRe

DOI

345.

Journal Article

Benner, P.; Breiten, T.: Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis 42, pp. 147 - 164 (2014)

MPG.PuRe

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External

346.

Journal Article

Benner, P.; El Khoury, G.; Sadkane, M.: On the Squared Smith Method for Large-Scale Stein Equations. Numerical Linear Algebra with Applications 21 (5), pp. 645 - 665 (2014)

MPG.PuRe

DOI

347.

Journal Article

Benner, P.; Ezzati, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. CLEI Electronic Journal 17 (1), 3, 12 pages (2014)

MPG.PuRe

DOI

publisher-version

348.

Journal Article

Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign Function. Numerical Algorithms 66 (2), pp. 363 - 377 (2014)

MPG.PuRe

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349.

Journal Article

Benner, P.; Hossain, M.-S.; Stykel, T.: Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 67 (3), pp. 669 - 690 (2014)

MPG.PuRe

DOI

350.

Journal Article

Benner, P.; Kürschner, P.: Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI Method. Computers and Mathematics with Applications 67 (9), pp. 1656 - 1672 (2014)

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Journal Article (395)