TY - THES A1 - Hartmann, Carsten T1 - Aluminiumnitrid-Volumenkristallzüchtung mittels physikalischen Gasphasentransports Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:co1-opus-28992 ER - TY - GEN A1 - Hartmann, Carsten A1 - Banisch, Ralf A1 - Sarich, Marco A1 - Badowski, Tomasz A1 - Schütte, Christof T1 - Characterization of rare events in molecular dynamics T2 - Entropy Y1 - 2014 U6 - https://doi.org/10.3390/e16010350 SN - 1099-4300 VL - 16 IS - 1 SP - 350 EP - 376 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - Efficient rare event simulation by optimal nonequilibrium forcing T2 - Journal of Statistical Mechanics: Theory and Experiment Y1 - 2012 U6 - https://doi.org/10.1088/1742-5468/2012/11/P11004 SN - 1742-5468 VL - November SP - P 11004 ER - TY - GEN A1 - Sarich, Marco A1 - Banisch, Ralf A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - Markov state models for rare events in molecular dynamics T2 - Entropy Y1 - 2014 U6 - https://doi.org/10.3390/e16010258 SN - 1099-4300 VL - 16 IS - 1 SP - 258 EP - 286 ER - TY - GEN A1 - Zhang, Wei A1 - Wang, Han A1 - Hartmann, Carsten A1 - Weber, Marcus A1 - Schütte, Christof T1 - Applications of the cross-entropy method to importance sampling and optimal control of diffusions T2 - SIAM (Society for Industrial and Applied Mathematics) Y1 - 2014 U6 - https://doi.org/10.1137/14096493X SN - 1095-7197 VL - 36 IS - 6 SP - A2654 EP - A2672 ER - TY - GEN A1 - Hartmann, Carsten A1 - Latorre, Juan C. A1 - Zhang, Wei A1 - Pavliotis, Grigorios A. T1 - Optimal control of multiscale systems using reduced-order models T2 - Journal of Computational Dynamics (JCD) Y1 - 2014 U6 - https://doi.org/10.3934/jcd.2014.1.279 SN - 2158-2505 VL - 1 IS - 2 SP - 279 EP - 306 ER - TY - GEN A1 - Wang, Han A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - Linear response theory and optimal control for a molecular system under non-equilibrium conditions T2 - Molecular Physics: An International Journal at the Interface Between Chemistry and Physics Y1 - 2013 U6 - https://doi.org/10.1080/00268976.2013.844370 SN - 1362-3028 VL - 111 IS - 22-23 SP - 3555 EP - 3564 ER - TY - GEN A1 - Hartmann, Carsten A1 - Yanao, Tomohiro T1 - The falling cat problem and shape effects in small molecules in a random environment: a case study T2 - Molecular Physics Y1 - 2013 U6 - https://doi.org/10.1080/00268976.2013.831956 SN - 1362-3028 VL - 111 IS - 22-23 SP - 3534 EP - 3545 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schäfer-Bung, Boris A1 - Thöns-Zueva, Anastasia T1 - Balanced averaging of bilinear systems with applications to stochastic control T2 - SIAM Journal on Control and Optimization Y1 - 2013 U6 - https://doi.org/10.1137/100796844 SN - 1095-7138 VL - 51 IS - 3 SP - 2356 EP - 2378 ER - TY - GEN A1 - Wang, Han A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Delle Site, Luigi T1 - Grand-Canonical-like Molecular-Dynamics Simulations by Using an Adaptive-Resolution Technique T2 - PHYSICAL REVIEW X Y1 - 2013 U6 - https://doi.org/10.1103/PhysRevX.3.011018 SN - 2160-3308 VL - 3 IS - 1 SP - 011018 ER - TY - GEN A1 - Schäfer-Bung, Boris A1 - Hartmann, Carsten A1 - Schmidt, Burkhard A1 - Schütte, Christof T1 - Dimension reduction by balanced truncation: Application to light-induced control of open quantum systems T2 - The Journal of Chemical Physics Y1 - 2011 U6 - https://doi.org/10.1063/1.3605243 SN - 1089-7690 VL - 135 IS - 1 SP - 014112 ER - TY - GEN A1 - Hartmann, Carsten T1 - Balanced model reduction of partially-observed Langevin equations: an averaging principle T2 - Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences Y1 - 2011 U6 - https://doi.org/10.1080/13873954.2011.576517 SN - 1744-5051 VL - 17 IS - 5 SP - 463 EP - 490 ER - TY - GEN A1 - Hartmann, Carsten A1 - Latorre, Juan C. A1 - Ciccotti, Giovanni T1 - On two possible definitions of the free energy for collective variables T2 - The European Physical Journal Special Topics Y1 - 2011 U6 - https://doi.org/10.1140/epjst/e2011-01519-7 SN - 1951-6355 VL - 200 IS - 1 SP - 73 EP - 89 ER - TY - GEN A1 - Walter, Jessika A1 - Hartmann, Carsten A1 - Maddocks, John H. T1 - Ambient space formulations and statistical mechanics of holonomically constrained Langevin systems T2 - The European Physical Journal Special Topics Y1 - 2011 U6 - https://doi.org/10.1140/epjst/e2011-01523-y SN - 1951-6401 VL - 200 IS - 1 SP - 153 EP - 181 ER - TY - GEN A1 - Schütte, Christof A1 - Winkelmann, Stefanie A1 - Hartmann, Carsten T1 - Optimal control of molecular dynamics using Markov state models T2 - Mathematical Programming (Series B) Y1 - 2012 U6 - https://doi.org/10.1007/s10107-012-0547-6 SN - 0025-5610 VL - 134 IS - 1 SP - 259 EP - 282 ER - TY - GEN A1 - Leyendecker, Sigrid A1 - Hartmann, Carsten A1 - Koch, Michael T1 - Variational collision integrator for polymer chains T2 - Journal of Computational Physics Y1 - 2012 U6 - https://doi.org/10.1016/j.jcp.2012.01.017 SN - 0021-9991 VL - 231 IS - 10 SP - 3896 EP - 3911 ER - TY - GEN A1 - Latorre, Juan C. A1 - Metzner, Philipp A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - A Structure-preserving numerical discretization of reversible diffusions T2 - Communications in Mathematical Sciences Y1 - 2011 UR - http://dx.doi.org/10.4310/CMS.2011.v9.n4.a6 SN - 1945-0796 VL - 9 IS - 4 SP - 1051 EP - 1072 ER - TY - GEN A1 - Hartmann, Carsten A1 - Vulcanov, Valentina-Mira A1 - Schütte, Christof T1 - Balanced truncation of linear second-order systems: A Hamiltonian approach T2 - Multiscale Modeling & Simulation Y1 - 2010 U6 - https://doi.org/10.1137/080732717 SN - 1540-3467 VL - 8 IS - 4 SP - 1348 EP - 1367 ER - TY - GEN A1 - Schütte, Christof A1 - Walter, Jessika A1 - Hartmann, Carsten A1 - Huisinga, Wilhelm T1 - An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations T2 - Multiscale Modeling & Simulation Y1 - 2004 U6 - https://doi.org/10.1137/030600308 SN - 1540-3467 VL - 2 IS - 3 SP - 501 EP - 526 ER - TY - GEN A1 - Hartmann, Carsten A1 - Delle Site, Luigi T1 - Editorial: Scale bridging in molecular simulation T2 - The European Physical Journal Special Topics Y1 - 2015 U6 - https://doi.org/10.1140/epjst/e2015-02406-y SN - 1951-6355 SN - 1951-6401 VL - 224 IS - 12 SP - 2173 EP - 2176 ER - TY - GEN A1 - Bittracher, Andreas A1 - Hartmann, Carsten A1 - Junge, Oliver A1 - Koltai, Péter T1 - Pseudo generators for under-resolved molecular dynamics T2 - The European Physical Journal Special Topics Y1 - 2015 U6 - https://doi.org/10.1140/epjst/e2015-02422-y SN - 1951-6355 SN - 1951-6401 VL - 224 IS - 12 SP - 2463 EP - 2490 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Weber, Marcus A1 - Zhang, Wei T1 - Importance sampling in path space for diffusion processes with slow-fast variables T2 - Probability Theory and Related Fields Y1 - 2018 U6 - https://doi.org/10.1007/s00440-017-0755-3 SN - 0178-8051 SN - 1432-2064 VL - 170 IS - 1-2 SP - 177 EP - 228 ER - TY - GEN A1 - Zhang, Wei A1 - Hartmann, Carsten A1 - Schütte, Christof T1 - Effective dynamics along given reaction coordinates, and reaction rate theory T2 - Faraday Discussions Y1 - 2016 U6 - https://doi.org/10.1039/C6FD00147E SN - 1359-6640 SN - 1364-5498 VL - 195 SP - 365 EP - 394 ER - TY - GEN A1 - Banisch, Ralf A1 - Hartmann, Carsten T1 - A sparse Markov chain approximation of LQ-type stochastic control problems T2 - Mathematical Control and Related Fields Y1 - 2016 U6 - https://doi.org/10.3934/mcrf.2016007 SN - 2156-8499 SN - 2156-8472 VL - 6 IS - 3 SP - 363 EP - 389 ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Zhang, Wei T1 - Model reduction algorithms for optimal control and importance sampling of diffusions T2 - Nonlinearity Y1 - 2016 U6 - https://doi.org/10.1088/0951-7715/29/8/2298 SN - 1361-6544 SN - 0951-7715 VL - 29 IS - 8 SP - 2298 EP - 2326 ER - TY - GEN A1 - Agarwal, Animesh A1 - Zhu, Jinglong A1 - Hartmann, Carsten A1 - Wang, Han A1 - Delle Site, Luigi T1 - Molecular dynamics in a Grand Ensemble: Bergmann-Lebowitz model and adaptive resolution simulation T2 - New Journal of Physics Y1 - 2015 U6 - https://doi.org/10.1088/1367-2630/17/8/083042 SN - 1367-2630 VL - 17 ER - TY - JOUR A1 - Hartmann, Carsten T1 - Leimkuhler, Ben ; Matthews, Charles: Molecular Dynamics. With Deterministic and Stochastic Numerical Methods. Cham : Springer, 2015 JF - SIAM Review Y1 - 2016 SN - 1095-7200 VL - 58 IS - 3 SP - 586 EP - 588 ER - TY - GEN A1 - Hartmann, Carsten A1 - Richter, Lorenz A1 - Schütte, Christof A1 - Zhang, Wei T1 - Variational characterization of free energy: theory and algorithms T2 - Entropy Y1 - 2017 U6 - https://doi.org/10.3390/e19110626 SN - 1099-4300 N1 - Special Issue "Understanding Molecular Dynamics via Stochastic Processes" VL - 19 IS - 11 ER - TY - GEN A1 - Schmidt, Burkhard A1 - Hartmann, Carsten T1 - WavePacket: A Matlab package for numerical quantum dynamics.II : Open quantum systems, optimal control, and model reduction T2 - Computer Physics Communications Y1 - 2018 U6 - https://doi.org/10.1016/j.cpc.2018.02.022 SN - 0010-4655 VL - 228 SP - 229 EP - 244 ER - TY - GEN A1 - Delle Site, Luigi A1 - Ciccotti, Giovanni A1 - Hartmann, Carsten T1 - Partitioning a macroscopic system into independent subsystems T2 - Journal of Statistical Mechanics: Theory and Experiment Y1 - 2017 U6 - https://doi.org/10.1088/1742-5468/aa75db SN - 1742-5468 VL - August ER - TY - GEN A1 - Donati, Lorenzo A1 - Hartmann, Carsten A1 - Keller, Bettina G. T1 - Girsanov reweighting for path ensembles and Markov state models T2 - The Journal of Chemical Physics Y1 - 2017 U6 - https://doi.org/10.1063/1.4989474 SN - 1089-7690 VL - 146 IS - 124 SP - 244112-1 EP - 244112-15 ER - TY - GEN A1 - Daraghmeh, Adnan A1 - Qatanani, Naji A1 - Hartmann, Carsten T1 - Optimal control of linear systems with balanced reduced-order models: Perturbation approximations T2 - Applied Mathematics and Computation Y1 - 2018 U6 - https://doi.org/10.1016/j.amc.2018.04.065 SN - 0096-3003 VL - 337 SP - 119 EP - 136 ER - TY - GEN A1 - Kebiri, Omar A1 - Neureither, Lara A1 - Hartmann, Carsten T1 - Singularly Perturbed Forward-Backward Stochastic Differential Equations: Application to the Optimal Control of Bilinear Systems T2 - Computation Y1 - 2018 U6 - https://doi.org/10.3390/computation6030041 SN - 2079-3197 VL - 6 IS - 3 SP - 41 EP - 41 ER - TY - GEN A1 - Hartmann, Carsten A1 - Neureither, Lara A1 - Sharma, Upanshu T1 - Coarse-graining of non-reversible stochastic differential equations: quantitative results and connections to averaging T2 - SIAM Journal on Mathematical Analysis Y1 - 2020 U6 - https://doi.org/10.1137/19M1299852 SN - 1095-7154 SN - 0036-1410 VL - 52 IS - 3 SP - 2689 EP - 2733 ER - TY - GEN A1 - Benner, Peter A1 - Breiten, Tobias A1 - Hartmann, Carsten A1 - Schmidt, Burkhard T1 - Model reduction of controlled Fokker-Planck and Liouville-von Neumann equations T2 - American Institute of Mathematical Sciences Y1 - 2020 U6 - https://doi.org/10.3934/jcd.2020001 SN - 2158-2491 SN - 2158-2505 VL - 7 IS - 1 SP - 1 EP - 33 ER - TY - GEN A1 - Hartmann, Carsten A1 - Kebiri, Omar A1 - Neureither, Lara A1 - Richter, Lorenz T1 - Variational approach to rare event simulation using least-squares regression T2 - Chaos: An Interdisciplinary Journal of Nonlinear Science Y1 - 2019 U6 - https://doi.org/10.1063/1.5090271 SN - 1089-7682 SN - 1054-1500 VL - 29 IS - 6 ER - TY - GEN A1 - Becker, Simon A1 - Hartmann, Carsten T1 - Infinite-dimensional bilinear and stochastic balanced truncation with explicit error bounds T2 - Mathematics of Control, Signals, and Systems Y1 - 2019 U6 - https://doi.org/10.1007/s00498-019-0234-8 SN - 1435-568X SN - 0932-4194 VL - 31 IS - 2 ER - TY - GEN A1 - Mezdoud, Zaineb A1 - Hartmann, Carsten A1 - Remita, Mohamed Riad A1 - Kebiri, Omar T1 - α-Hypergeometric Uncertain Volatility Models and their Connection to 2BSDEs T2 - Bulletin of the Institute of Mathematics Academia Sinica : New series Y1 - 2021 U6 - https://doi.org/10.21915/BIMAS.2021304 SN - 2304-7909 SN - 2304-7895 VL - 16 IS - 3 SP - 263 EP - 288 ER - TY - GEN A1 - Skeel, Robert D. A1 - Hartmann, Carsten T1 - Choice of Damping Coefficient in Langevin Dynamics T2 - The European Physical Journal. B Y1 - 2021 U6 - https://doi.org/10.1140/epjb/s10051-021-00182-z SN - 1434-6036 SN - 1434-6028 VL - 94 IS - 9 ER - TY - GEN A1 - Hartmann, Carsten A1 - Neureither, Lara A1 - Strehlau, Markus T1 - Reachability Analysis of Randomly Perturbed Hamiltonian Systems T2 - IFAC PapersOnLine Y1 - 2021 UR - https://www.sciencedirect.com/science/article/pii/S2405896321021194?via%3Dihub U6 - https://doi.org/10.1016/j.ifacol.2021.11.095 SN - 2405-8963 N1 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2021, Berlin, Germany, 11-13 October 2021 VL - 54 IS - 19 SP - 307 EP - 314 ER - TY - CHAP A1 - Hartmann, Carsten ED - Klimczak, Peter ED - Petersen, Christer ED - Schilling, Samuel T1 - Gefangen in der Filterblase? Suchmaschinenergebnisse als Beispiel eines wissensbasierten Konsenses T2 - Maschinen der Kommunikation. Interdisziplinäre Perspektiven auf Technik und Gesellschaft im digitalen Zeitalter Y1 - 2020 SN - 978-3-658-27851-9 SN - 978-3-658-27852-6 U6 - https://doi.org/10.1007/978-3-658-27852-6_3 SN - 2662-5970 SP - 45 EP - 62 PB - Springer CY - Wiesbaden ER - TY - GEN A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Zhang, Wei T1 - Jarzysnki equality, fluctuation theorems and variance reduction: Mathematical analysis and numerical algorithms T2 - Journal of Statistical Physics Y1 - 2019 U6 - https://doi.org/10.1007/s10955-019-02286-4 SN - 1572-9613 SN - 0022-4715 VL - 175 IS - 6 SP - 1214 EP - 1261 ER - TY - GEN A1 - Daraghmeh, Adnan A1 - Hartmann, Carsten A1 - Qatanani, Naji T1 - Balanced model reduction of linear systems with nonzero initial conditions: singular perturbation approximation T2 - Applied Mathematics and Computation Y1 - 2019 U6 - https://doi.org/10.1016/j.amc.2019.02.001 SN - 1873-5649 SN - 0096-3003 VL - 353 SP - 295 EP - 307 ER - TY - GEN A1 - Hartmann, Carsten A1 - Köhler, Ekkehard A1 - Schmidt, Heiko A1 - Klein, Marten T1 - Scientific computing LAB (SCL) T2 - "Get Into Energy", BTU Cottbus-Senftenberg, ZHG Building, 1 Feb. 2023 N2 - KEY COMPETENCE AND FOCUS • Development of numerical methods and algorithms for multi-energy systems • Multiscale and multiphysics modeling and simulation of P2X technologies • Stochastic simulation and efficient optimization of complex energy networks KW - Energy Innovation Center (EIZ) KW - Scientific Computing Lab (SCL) KW - P2X KW - multiphysics multiscale problems KW - stochastic modeling and simulation KW - network optimization Y1 - 2023 UR - https://www-docs.b-tu.de/fg-stroemungsmodellierung/public/Poster_SCL_seed_v3.pdf CY - Cottbus ER - TY - JOUR A1 - Bouguetof, Khaoula A1 - Mezdoud, Zaineb A1 - Kebiri, Omar A1 - Hartmann, Carsten T1 - On the existence and uniqueness of the solution to multifractional stochastic delay differential equation JF - Fractional Calculus and Applied Analysis N2 - AbstractIn this paper we study existence and uniqueness of solution stochastic differential equations involving fractional integrals driven by Riemann-Liouville multifractional Brownian motion and a standard Brownian. Then, we obtain approximate numerical solution of our problem and colon cancer chemotherapy effect model are presented to confirm our results. We show that considering time dependent Hurst parameters play an important role to get more realistic results. Y1 - 2024 U6 - https://doi.org/10.1007/s13540-024-00314-z SN - 1311-0454 VL - 27 IS - 5 SP - 2284 EP - 2304 PB - Springer Science and Business Media LLC ER - TY - JOUR A1 - Bouanani, Hafida A1 - Kebiri, Omar A1 - Hartmann, Carsten A1 - Redjil, Amel T1 - Optimal Relaxed Control for a Decoupled G-FBSDE JF - Journal of Optimization Theory and Applications N2 - AbstractIn this paper we study a system of decoupled forward-backward stochastic differential equations driven by a G-Brownian motion (G-FBSDEs) with non-degenerate diffusion. Our objective is to establish the existence of a relaxed optimal control for a non-smooth stochastic optimal control problem. The latter is given in terms of a decoupled G-FBSDE. The cost functional is the solution of the backward stochastic differential equation at the initial time. The key idea to establish existence of a relaxed optimal control is to replace the original control problem by a suitably regularised problem with mollified coefficients, prove the existence of a relaxed control, and then pass to the limit. Y1 - 2024 U6 - https://doi.org/10.1007/s10957-024-02495-2 SN - 0022-3239 VL - 202 IS - 3 SP - 1027 EP - 1059 PB - Springer Science and Business Media LLC ER - TY - CHAP A1 - Hartmann, Carsten A1 - Richter, Lorenz ED - Klimczak, Peter ED - Petersen, Christer T1 - Transgressing the boundaries: towards a rigorous understanding of deep learning and its (non-)robustness T2 - Artificial Intelligence – Limits and Prospects Y1 - 2023 SN - 978-3-8376-5732-6 U6 - https://doi.org/10.14361/9783839457320-004 SP - 43 EP - 82 PB - transcript Verlag CY - Bielefeld ER - TY - GEN A1 - Schütte, Christof A1 - Klus, Stefan A1 - Hartmann, Carsten T1 - Overcoming the Timescale Barrier in Molecular Dynamics: Transfer Operators, Variational Principles, and Machine Learning T2 - Acta Numerica Y1 - 2023 U6 - https://doi.org/10.1017/S0962492923000016 SN - 1474-0508 SN - 0962-4929 VL - Vol. 32 SP - 517 EP - 673 ER - TY - GEN A1 - Mansouri Yarahmadi, Ashkan A1 - Breuß, Michael A1 - Hartmann, Carsten T1 - Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing T2 - Proceedings of SAI Intelligent Systems Conference N2 - n context of laser powder bed fusion (L-PBF), it is known that the properties of the final fabricated product highly depend on the temperature distribution and its gradient over the manufacturing plate. In this paper, we propose a novel means to predict the temperature gradient distributions during the printing process by making use of neural networks. This is realized by employing heat maps produced by an optimized printing protocol simulation and used for training a specifically tailored recurrent neural network in terms of a long short-term memory architecture. The aim of this is to avoid extreme and inhomogeneous temperature distribution that may occur across the plate in the course of the printing process. In order to train the neural network, we adopt a well-engineered simulation and unsupervised learning framework. To maintain a minimized average thermal gradient across the plate, a cost function is introduced as the core criteria, which is inspired and optimized by considering the well-known traveling salesman problem (TSP). As time evolves the unsupervised printing process governed by TSP produces a history of temperature heat maps that maintain minimized average thermal gradient. All in one, we propose an intelligent printing tool that provides control over the substantial printing process components for L-PBF, i.e. optimal nozzle trajectory deployment as well as online temperature prediction for controlling printing quality. KW - Additive manufacturing Laser beam trajectory optimization Powder bed fusion printing Heat simulation Linear-quadratic control Y1 - 2022 SN - 978-3-031-16074-5 U6 - https://doi.org/10.1007/978-3-031-16075-2_8 SN - 978-3-031-16075-2 SP - 119 EP - 132 PB - Springer CY - Cham ER - TY - GEN A1 - Mansouri Yarahmadi, Ashkan A1 - Breuß, Michael A1 - Hartmann, Carsten A1 - Schneidereit, Toni T1 - Unsupervised Optimization of Laser Beam Trajectories for Powder Bed Fusion Printing and Extension to Multiphase Nucleation Models T2 - Mathematical Methods for Objects Reconstruction : From 3D Vision to 3D Printing N2 - In laser powder bed fusion, it is known that the quality of printing results crucially depends on the temperature distribution and its gradient over the manufacturing plate. We propose a computational model for the motion of the laser beam and the simulation of the time-dependent heat evolution over the plate. For the optimization of the laser beam trajectory, we propose a cost function that minimizes the average thermal gradient and allows to steer the laser beam. The optimization is performed in an unsupervised way. Specifically, we propose an optimization heuristic that is inspired by the well-known traveling salesman problem and that employs simulated annealing to determine a nearly optimal pathway. By comparison of the heat transfer simulations of the derived trajectories with trajectory patterns from standard printing protocols we show that the method gives superior results in terms of the given cost functional. KW - Additive manufacturing Multiphase alloys Trajectory optimization Powder bed fusion printing Heat simulation Linear-quadratic control Y1 - 2023 SN - 978-981-99-0775-5 U6 - https://doi.org/10.1007/978-981-99-0776-2_6 SN - 978-981-99-0776-2 SP - 157 EP - 176 PB - Springer CY - Singapor ER - TY - GEN A1 - Masouri Yarahmadi, Ashkan A1 - Breuß, Michael A1 - Hartmann, Carsten T1 - Long Short-Term Memory Neural Network for Temperature Prediction in Laser Powder Bed Additive Manufacturing T2 - arXiv Y1 - 2023 U6 - https://doi.org/10.48550/arXiv.2301.12904 SP - 1 EP - 15 ER - TY - GEN A1 - Delle Site, Luigi A1 - Hartmann, Carsten T1 - Computationally feasible bounds for the free energy of nonequilibrium steady states, applied to simple models of heat conduction T2 - Molecular Physics Y1 - 2024 U6 - https://doi.org/10.1080/00268976.2024.2391484 SN - 0026-8976 PB - Informa UK Limited ER - TY - JOUR A1 - Hartmann, Carsten A1 - Richter, Lorenz T1 - Nonasymptotic Bounds for Suboptimal Importance Sampling JF - SIAM/ASA Journal on Uncertainty Quantification Y1 - 2024 U6 - https://doi.org/10.1137/21M1427760 SN - 2166-2525 VL - 12 IS - 2 SP - 309 EP - 346 PB - Society for Industrial & Applied Mathematics (SIAM) ER - TY - JOUR A1 - Delle Site, Luigi A1 - Hartmann, Carsten T1 - Scaling law for the size dependence of a finite-range quantum gas JF - Physical Review A Y1 - 2024 U6 - https://doi.org/10.1103/PhysRevA.109.022209 SN - 2469-9926 VL - 109 IS - 2 PB - American Physical Society (APS) ER - TY - GEN A1 - Reible, Benedikt A1 - Hille, Julian F. A1 - Hartmann, Carsten A1 - Delle Site, Luigi T1 - Finite size effects and thermodynamic accuracy in many-particle systems T2 - Physical Review Research Y1 - 2023 U6 - https://doi.org/10.1103/PhysRevResearch.5.023156 SN - 2643-1564 VL - 5 IS - 2 SP - 023156-1 EP - 023156-8 ER - TY - GEN A1 - Reible, Benedikt A1 - Hartmann, Carsten A1 - Delle Site, Luigi T1 - Two-sided Bogoliubov inequality to estimate finite-size effects in quantum molecular simulations T2 - Letters in Mathematical Physics Y1 - 2022 U6 - https://doi.org/10.1007/s11005-022-01586-3 SN - 1573-0530 SN - 0377-9017 VL - 112 IS - 5 SP - 1 EP - 17 ER -