Publications of Patrick Kürschner

Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: A Numerical Comparison of Different Solvers for Large-Scale, Continuous-Time Algebraic Riccati Equations and LQR Problems. SIAM Journal on Scientific Computing 42 (2), pp. A957 - A996 (2020)

Benner, P.; Bujanović, Z.; Kürschner, P.; Saak, J.: RADI: a Low-Rank ADI-Type Algorithm for Large Scale Algebraic Riccati Equations. Numerische Mathematik 138 (2), pp. 301 - 330 (2018)

Freitag, M. A.; Kürschner, P.; Pestana, J.: GMRES Convergence Bounds for Eigenvalue Problems. Computational Methods in Applied Mathematics 18 (2), pp. 203 - 222 (2018)

Kürschner, P.: Balanced Truncation Model Order Reduction in Limited Time Intervals for Large Systems. Advances in Computational Mathematics 44 (6), pp. 1821 - 1844 (2018)

Redmann, M.; Kürschner, P.: An Output Error Bound for Time-Limited Balanced Truncation. Systems & Control Letters 121, pp. 1 - 6 (2018)

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)

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)

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)

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)

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)

Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis 43, pp. 142 - 162 (2014)

Benner, P.; Kürschner, P.; Saak, J.: Efficient Handling of Complex Shift Parameters in the Low-Rank Cholesky Factor ADI method. Numerical Algorithms 62 (2), pp. 225 - 251 (2013)

Benner, P.; Kürschner, P.; Saak, J.: An Improved Numerical Method for Balanced Truncation for Symmetric Second-Order Systems. Mathematical and Computer Modelling of Dynamical Systems 19 (6), pp. 593 - 615 (2013)

Nowakowski, C.; Kürschner, P.; Eberhard, P.; Benner, P.: Model Reduction of an Elastic Crankshaft for Elastic Multibody Simulations. Zeitschrift für Angewandte Mathematik und Mechanik 93 (4), pp. 198 - 216 (2013)

Benner, P.; Kürschner, P.; Saak, J.: A Reformulated Low-Rank ADI Iteration with Explicit Residual Factors. 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad, Serbia, March 18, 2013 - March 22, 2013. Proceedings in Applied Mathematics and Mechanics 13 (1), pp. 585 - 586 (2013)

Benner, P.; Kürschner, P.; Saak, J.: Improved Second-Order Balanced Truncation for Symmetric Systems. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 758 - 762 (2012)

Benner, P.; Kürschner, P.; Saak, J.: Avoiding Complex Arithmetic in the Low-Rank ADI Method Efficiently. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 639 - 640 (2012)

Saak, J.; Benner, P.; Kürschner, P.: A Goal-Oriented Dual LRCF-ADI for Balanced Truncation. MATHMOD 2012 - 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 14, 2012 - February 17, 2012. IFAC Proceedings Volumes 45 (2), pp. 752 - 757 (2012)

Benner, P.; Eberhard, P.; Knoll, G.; Kürschner, P.; Nowakowski, C.; Ochse, G.: Optimale FE-Reduktion, Moderne Modellreduktion elastischer Bauteile für die Simulation flexibler Mehrkörpersysteme. In: Informationstagung Motoren: Frühjahrstagung 2011, Vol. Heft R 553, pp. 175 - 197. FVV Frühjahrstagung 2011, Bad Neuenahr, Germany, March 17, 2011 - March 18, 2011. (2011)

Benner, P.; Hochstenbach, M. E.; Kürschner, P.: Model Order Reduction of Large-Scale Dynamical Systems with Jacobi-Davidson Style Eigensolvers. In: 2011 International Conference on Communications, Computing and Control Applications (CCCA 2011), pp. 1 - 6. 2011 International Conference on Comunications, Computing and Control Applications - CCCA 2011, Hammamet, Tunesia, March 03, 2011 - March 05, 2011. (2011)