Publications

252.

Journal Article

Altmann, R.; Heiland, J.: Simulation of Multibody Systems With Servo Constraints Through Optimal Control. Multibody System Dynamics 40 (1), pp. 75 - 98 (2017)

MPG.PuRe

253.

Journal Article

Anzt, H.; Gates, M.; Dongarra, J.; Kreutzer, M.; Wellein, G.; Köhler, M.: Preconditioned Krylov Solvers on GPUs. Parallel Computing 68, pp. 32 - 44 (2017)

MPG.PuRe

254.

Journal Article

Banagaaya, N.; Benner, P.; Feng, L.; Meuris, P.; Schoenmaker, W.: An Index-Aware Parametric Model Order Reduction Method for Parameterized Quadratic Differential–Algebraic Equations. Applied Mathematics and Computation 319, pp. 409 - 424 (2017)

MPG.PuRe

255.

Journal Article

Benner, P.; Damm, T.; Rodriguez Cruz, Y. R.: Dual Pairs of Generalized Lyapunov Inequalities and Balanced Truncation of Stochastic Linear Systems. IEEE Transactions on Automatic Control 62 (2), pp. 782 - 791 (2017)

MPG.PuRe

256.

Journal Article

Benner, P.; Denißen, J.; Kohaupt, L.: Trigonometric Spline and Spectral Bounds for the Solution of Linear Time-Periodic Systems. Journal of Applied Mathematics and Computing 54 (1), pp. 127 - 157 (2017)

MPG.PuRe

257.

Journal Article

Benner, P.; Dolgov, S.; Khoromskaia, V.; Khoromskij, B. N.: Fast Iterative Solution of the Bethe–Salpeter Eigenvalue Problem Using Low-Rank and QTT Tensor Approximation. Journal of Computational Physics 334, pp. 221 - 239 (2017)

MPG.PuRe

258.

Journal Article

Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: Extending the Gauss–Huard Method for the Solution of Lyapunov Matrix Equations and Matrix Inversion. Concurrency and Computation: Practice and Experience 29 (9), e4076 (2017)

MPG.PuRe

259.

Journal Article

Benner, P.; Hossain, M.-S.: Structure Preserving Iterative Methods for Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 76 (4), pp. 881 - 904 (2017)

MPG.PuRe

260.

Journal Article

Benner, P.; Yücel, H.: Adaptive Symmetric Interior Penalty Galerkin Method for Boundary Control Problems. SIAM Journal on Numerical Analysis 55 (2), pp. 1101 - 1133 (2017)

MPG.PuRe

261.

Journal Article

Bremer, J.; Goyal, P. K.; Feng, L.; Benner, P.; Sundmacher, K.: POD-DEIM for Efficient Reduction of a Dynamic 2D Catalytic Reactor Model. Computers & Chemical Engineering 106, pp. 777 - 784 (2017)

MPG.PuRe

262.

Journal Article

Chen, J.; Grundel, S.; Yu, T. P. Y.: A Flexible C² Subdivision Scheme on the Sphere: With Application to Biomembrane Modelling. SIAM Journal on Applied Algebra and Geometry 1 (1), pp. 459 - 483 (2017)

MPG.PuRe

263.

Journal Article

Curtis, F. E.; Mitchell, T.; Overton, M. L.: A BFGS-SQP Method for Nonsmooth, Nonconvex, Constrained Optimization and its Evaluation using Relative Minimization Profiles. Optimization Methods and Software 32 (1), pp. 148 - 181 (2017)

MPG.PuRe

264.

Journal Article

Damm, T.; Benner, P.; Hauth, J.: Computing the Stochastic H^∞-Norm by a Newton Iteration. IEEE Control Systems Letters 1 (1), pp. 92 - 97 (2017)

MPG.PuRe

265.

Journal Article

Eaton, J.; Grundel, S.; Gürbüzbalaban, M.; Overton, M. L.: Polynomial Root Radius Optimization with Affine Constraints. Mathematical Programming / A 165 (2), pp. 509 - 528 (2017)

MPG.PuRe

266.

Journal Article

Feng, L.; Antoulas, A. C.; Benner, P.: Some a Posteriori Error Bounds for Reduced-Order Modelling of (Non-) Parametrized Linear Systems. ESAIM: Mathematical Modelling and Numerical Analysis 51 (6), pp. 2127 - 2158 (2017)

MPG.PuRe

267.

Journal Article

Feng, L.; Mangold, M.; Benner, P.: Adaptive POD–DEIM Basis Construction and its Application to a Nonlinear Population Balance System. AIChE Journal 63 (9), pp. 3832 - 3844 (2017)

MPG.PuRe

268.

Journal Article

Grushkovskaya , V. V.; Zuyev, A.: Two-Point Problem for Systems Satisfying the Controllability Condition with Lie Brackets of the Second Order. Journal of Mathematical Sciences 220 (3), pp. 301 - 317 (2017)

MPG.PuRe

269.

Journal Article

Guglielmi, N.; Gürbüzbalaban, M.; Mitchell, T.; Overton, M. L.: Approximating the Real Structured Stability Radius with Frobenius Norm Bounded Perturbations. SIAM Journal on Matrix Analysis and Applications 38 (4), pp. 1323 - 1353 (2017)

MPG.PuRe

270.

Journal Article

Khoromskaia, V.; Khoromskij, B. N.: Block Circulant and Toeplitz Structures in the Linearized Hartree–Fock Equation on Finite Lattices: Tensor Approach. Computational Methods in Applied Mathematics 17 (3), pp. 431 - 455 (2017)

MPG.PuRe

271.

Journal Article

Redmann, M.; Benner, P.: An H₂-Type Error Bound for Balancing-Related Model Order Reduction of Linear Systems with Lévy Noise. Systems & Control Letters 105, pp. 1 - 5 (2017)

MPG.PuRe

272.

Journal Article

Zhang, Y.; Feng, L.; Seidel-Morgenstern, A.; Benner, P.: Accelerating Optimization and Uncertainty Quantification of Nonlinear SMB Chromatography Using Reduced-Order Models. Computers & Chemical Engineering 96, pp. 237 - 247 (2017)

MPG.PuRe

273.

Journal Article

Zuyev, A.; Grushkovskaya, V.: Motion Planning for Control-Affine Systems Satisfying Low-Order Controllability Conditions. International Journal of Control 90 (11), pp. 2517 - 2537 (2017)

MPG.PuRe

274.

Journal Article

Zuyev, A.; Seidel-Morgenstern, A.; Benner, P.: An Isoperimetric Optimal Control Problem for a Non-Isothermal Chemical Reactor with Periodic Inputs. Chemical Engineering Science 161, pp. 206 - 214 (2017)

MPG.PuRe

275.

Journal Article

Ahmad, M. I.; Benner, P.; Jaimoukha, I. M.: Krylov Subspace Methods for Model Reduction of Quadratic-Bilinear Systems. IET Control Theory & Applications 10 (16), pp. 2010 - 2018 (2016)

MPG.PuRe

276.

Journal Article

Anzt, H.; Chow, E.; Saak, J.; Dongarra, J.: Updating Incomplete Factorization Preconditioners for Model Order Reduction. Numerical Algorithms 73 (3), pp. 611 - 630 (2016)

MPG.PuRe

277.

Journal Article

Benner, P.; Bujanović, Z.: On the Solution of Large-Scale Algebraic Riccati Equations by Using Low-Dimensional Invariant Subspaces. Linear Algebra and Its Applications 488, pp. 430 - 459 (2016)

MPG.PuRe

278.

Journal Article

Benner, P.; Damm, T.; Redmann, M.; Rodriguez Cruz, Y. R.: Positive Operators and Stable Truncation. Linear Algebra and its Applications 498, pp. 74 - 87 (2016)

MPG.PuRe

279.

Journal Article

Benner, P.; Dolgov, S.; Onwunta, A.; Stoll, M.: Low-Rank Solvers for Unsteady Stokes-Brinkman Optimal Control Problem with Random Data. Computer Methods in Applied Mechanics and Engineering 304, pp. 26 - 54 (2016)

MPG.PuRe

280.

Journal Article

Benner, P.; Goyal, P. K.: Multipoint Interpolation of Volterra Series and H₂-Model Reduction for a Family of Bilinear Descriptor Systems. Systems & Control Letters 97, pp. 1 - 11 (2016)

MPG.PuRe

281.

Journal Article

Benner, P.; Heinkenschloss, M.; Saak, J.; Weichelt, H. K.: An Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations. Applied Numerical Mathematics 108, pp. 125 - 142 (2016)

MPG.PuRe

282.

Journal Article

Benner, P.; Khoromskaia, V.; Khoromskij, B. N.: A Reduced Basis Approach for Calculation of the Bethe-Salpeter Excitation Energies by using Low-Rank Tensor Factorisations. Molecular Physics 114 (7-8), pp. 1148 - 1161 (2016)

MPG.PuRe

pre-print

283.

Journal Article

Benner, P.; Kürschner, P.; Saak, J.: Low-Rank Newton-ADI Methods for Large Nonsymmetric Algebraic Riccati Equations. Journal of the Franklin Institute 353 (5), pp. 1147 - 1167 (2016)

MPG.PuRe

284.

Journal Article

Benner, P.; Kürschner, P.; Saak, J.: Frequency-Limited Balanced Truncation with Low-Rank Approximations. SIAM Journal on Scientific Computing 38 (1), pp. A471 - A499 (2016)

MPG.PuRe

285.

Journal Article

Benner, P.; Kürschner, P.; Tomljanović, Z.; Truhar, N.: Semi-Active Damping Optimization of Vibrational Systems using the Parametric Dominant Pole Algorithm. Zeitschrift für Angewandte Mathematik und Mechanik 96 (5), pp. 604 - 619 (2016)

MPG.PuRe

286.

Journal Article

Benner, P.; Mena, H.; Schneider, R.: Modeling Glyphosate Aerial Spray Drift at the Ecuador-Colombia Border. Applied Mathematical Modelling 40 (1), pp. 373 - 387 (2016)

MPG.PuRe

287.

Journal Article

Benner, P.; Onwunta, A.; Stoll, M.: Block-diagonal Preconditioning for Optimal Control Problems Constrained by PDEs with Uncertain Inputs. SIAM Journal on Matrix Analysis and Applications 37 (2), pp. 491 - 518 (2016)

MPG.PuRe

288.

Journal Article

Benner, P.; Saak, J.; Uddin, M. M.: Balancing Based Model Reduction for Structured Index-2 Unstable Descriptor Systems with Application to Flow Control. Numerical Algebra, Control and Optimization 6 (1), pp. 1 - 20 (2016)

MPG.PuRe

289.

Journal Article

Benner, P.; Saak, J.; Uddin, M. M.: Structure Preserving Model Order Reduction of Large Sparse Second-Order Index-1 Systems and Application to a Mechatronics Model. Mathematical and Computer Modelling of Dynamical Systems 22 (6), pp. 509 - 523 (2016)

MPG.PuRe

290.

Journal Article

Benner, P.; Sima, V.; Voigt, M.: Algorithm 961 - FORTRAN 77 Subroutines for the Solution of Skew-Hamiltonian/Hamiltonian Eigenproblems. ACM Transactions on Mathematical Software 42 (3), 24, 26 pages (2016)

MPG.PuRe

291.

Journal Article

Fehr, J.; Heiland, J.; Himpe, C.; Saak, J.: Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction Software. AIMS Mathematics 1 (3), pp. 261 - 281 (2016)

MPG.PuRe

292.

Journal Article

Feng, L.; Yue, Y.; Banagaaya, N.; Meuris, P.; Schoenmaker, W.; Benner, P.: Parametric Modeling and Model Order Reduction for (Electro-)Thermal Analysis of Nanoelectronic Structures. Journal of Mathematics in Industry 6 (1), 10, 16 pages (2016)

MPG.PuRe

293.

Journal Article

Heiland, J.: A Differential-Algebraic Riccati Equation for Applications in Flow Control. SIAM Journal on Control and Optimization 54 (2), pp. 718 - 739 (2016)

MPG.PuRe

294.

Journal Article

Köhler, M.; Penke, C.; Saak, J.; Ezzatti, P.: Energy-Aware Solution of Linear Systems with Many Right Hand Sides. Computer Science - Research and Development 31 (4), pp. 215 - 235 (2016)

MPG.PuRe

295.

Journal Article

Köhler, M.; Saak, J.: On GPU Acceleration of Common Solvers for (Quasi-) Triangular Generalized Lyapunov Equations. Parallel Computing 57, pp. 212 - 221 (2016)

MPG.PuRe

296.

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)

MPG.PuRe

297.

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

298.

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)

MPG.PuRe

299.

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

300.

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