Publications of Jan Heiland
All genres
Journal Article (24)
2023
Journal Article
Benner, P. & Heiland, J. (2023)Space and Chaos-Expansion Galerkin Proper Orthogonal Decomposition Low-order Discretization of PDEs for Uncertainty QuantificationInternational Journal for Numerical Methods in Engineering, 124 (12), 2801–2817doi: 10.1002/nme.7229.
Journal Article
Benner, P., Heiland, J., & (2023)A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic TermsNumerical Algorithms, 92, 1083–1103doi: 10.1007/s11075-022-01331-w.
Journal Article
Heiland, J. & (2023)Low-Complexity Linear Parameter-Varying Approximations of Incompressible Navier-Stokes Equations for Truncated State-Dependent Riccati FeedbackIEEE Control Systems Letters, 7, 3012–3017doi: 10.1109/LCSYS.2023.3291231.
Journal Article
Kumar, V., Heiland, J., & Benner, P. (2023)Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time ScalesNeural Processing Letters, 55, 9907–9929doi: 10.1007/s11063-023-11231-2.
Journal Article
Kumar, V., Heiland, J., & Benner, P. (2023)Projective Lag Quasi-Synchronization of Coupled Systems with Mixed Delays and Parameter Mismatch: A Unified TheoryNeural Computing and Applications, 35, 23649–23665doi: 10.1007/s00521-023-08980-5.
2022
Journal Article
Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2022)Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible FlowsElectronic Transactions on Numerical Analysis: Special Issue SciML, 56, 28–51doi: 10.1553/etna_vol56s28.
Journal Article
Benner, P., Heiland, J., & Werner, S. W. R. (2022)Robust Output-Feedback Stabilization for Incompressible Flows using Low-Dimensional H∞-ControllersComputational Optimization and Applications, 82, 225–249doi: 10.1007/s10589-022-00359-x.
Journal Article
Heiland, J. (2022)Convergence of Coprime Factor Perturbations for Robust Stabilization of Oseen SystemsMathematical Control and Related Fields, 12 (3), 747–761doi: 10.3934/mcrf.2021043.
Journal Article
Heiland, J., Benner, P., & (2022)Convolutional Neural Networks for Very Low-dimensional LPV Approximations of Incompressible Navier-Stokes EquationsFrontiers in Applied Mathematics and Statistics, section Statistical and Computational Physics, 8, 879140doi: 10.3389/fams.2022.879140.
Journal Article
Heiland, J. & (2022)Identification of linear time-invariant systems with Dynamic Mode Decompositionmathematics, 10 (3), 418doi: 10.3390/math10030418.
2021
Journal Article
Behr, M., Benner, P., & Heiland, J. (2021)Galerkin Trial Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati EquationsApplied Mathematics and Computation, 410, 126401, 28 pagesdoi: 10.1016/j.amc.2021.126401.
Journal Article
Heiland, J. & (2021)Classical System Theory Revisited for Turnpike in Standard State Space Systems and Impulse Controllable Descriptor SystemsSIAM Journal on Control and Optimization, 59 (5), 3600–3624doi: 10.1137/20M1356105.
2019
Journal Article
Behr, M., Benner, P., & Heiland, J. (2019)Solution Formulas for Differential Sylvester and Lyapunov EquationsCALCOLO: A Quarterly on Numerical Analysis and Theory of Computation, 56 (4), 30 pages, 51 figuresdoi: 10.1007/s10092-019-0348-x.
Journal Article
, , , Heiland, J., & (2019)Numerical Benchmarking of Fluid-Rigid Body InteractionsComputers and Fluids, 193, 104290, 17 pagesdoi: 10.1016/j.compfluid.2019.104290.
2018
Journal Article
& Heiland, J. (2018)Regularization and Rothe Discretization of Semi-Explicit Operator DAEsInternational Journal of Numerical Analysis and Modeling, 15 (3), 452–478.
Journal Article
Baran, B., Benner, P., Heiland, J., & Saak, J. (2018)Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh MovementAnalele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica, 26 (2), 11–40doi: 10.2478/auom-2018-0016.
Journal Article
, Benner, P., & Heiland, J. (2018)Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential EquationsSIAM Journal on Scientific Computing, 40 (3), A1611–A1641doi: 10.1137/17M1135281.
Journal Article
Benner, P. & Heiland, J. (2018)Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based FeedbackInternational Journal of Robust and Nonlinear Control, 28 (4), 1218–1232doi: 10.1002/rnc.3949.
2017
Journal Article
Ahmad, M. I., Benner, P., Goyal, P. K., & Heiland, J. (2017)Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor SystemsZeitschrift für Angewandte Mathematik und Mechanik, 97 (10), 1252–1267doi: 10.1002/zamm.201500262.
Journal Article
& Heiland, J. (2017)Simulation of Multibody Systems With Servo Constraints Through Optimal ControlMultibody System Dynamics, 40 (1), 75–98doi: 10.1007/s11044-016-9558-z.