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283 Publications
2021 | Preprint | LibreCat-ID: 21600
Efficient time stepping for numerical integration using reinforcement learning
M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, ArXiv:2104.03562 (2021).
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M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, ArXiv:2104.03562 (2021).
2021 | Journal Article | LibreCat-ID: 16295
Inverse multiobjective optimization: Inferring decision criteria from data
B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
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B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
2021 | Preprint | LibreCat-ID: 23428
Finite-data error bounds for Koopman-based prediction and control
F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, ArXiv:2108.07102 (2021).
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F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, ArXiv:2108.07102 (2021).
2021 | Preprint | LibreCat-ID: 21199
On the Universal Transformation of Data-Driven Models to Control Systems
S. Peitz, K. Bieker, ArXiv:2102.04722 (2021).
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S. Peitz, K. Bieker, ArXiv:2102.04722 (2021).
2021 | Preprint | LibreCat-ID: 27426
On the structure of regularization paths for piecewise differentiable regularization terms
B. Gebken, K. Bieker, S. Peitz, ArXiv:2111.06775 (2021).
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B. Gebken, K. Bieker, S. Peitz, ArXiv:2111.06775 (2021).
2021 | Conference Paper | LibreCat-ID: 22894
Bifurcation preserving discretisations of optimal control problems
C. Offen, S. Ober-Blöbaum, 54 (2021) 334–339.
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C. Offen, S. Ober-Blöbaum, 54 (2021) 334–339.
2021 | Journal Article | LibreCat-ID: 16867
An efficient descent method for locally Lipschitz multiobjective optimization problems
B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
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B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188 (2021) 696–723.
2021 | Journal Article | LibreCat-ID: 21195
Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults
C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
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C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger, S. Vieluf, Cognitive Neurodynamics (2021).
2021 | Journal Article | LibreCat-ID: 24170
Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry
S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
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S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology (2021).
2021 | Journal Article | LibreCat-ID: 20731
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation
K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence (2021).
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K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and Machine Intelligence (2021).
2021 | Preprint | LibreCat-ID: 23382
Symplectic integration of learned Hamiltonian systems
C. Offen, S. Ober-Blöbaum, (n.d.).
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C. Offen, S. Ober-Blöbaum, (n.d.).
2021 | Journal Article | LibreCat-ID: 24169
Tensor-based computation of metastable and coherent sets
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
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| DOI
F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena (2021).
2021 | Journal Article | LibreCat-ID: 16294
Explicit multiobjective model predictive control for nonlinear systems with symmetries
S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31 (2021) 380–403.
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S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 31 (2021) 380–403.
2021 | Preprint | LibreCat-ID: 21572
Learning ODE Models with Qualitative Structure Using Gaussian Processes
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, (n.d.).
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S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, (n.d.).
2021 | Journal Article | LibreCat-ID: 21337
Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models
M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
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M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26 (2021).
2021 | Journal Article | LibreCat-ID: 21820
Spectral Properties of Effective Dynamics from Conditional Expectations
F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
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F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
2020 | Journal Article | LibreCat-ID: 16961
LimSt – Ein Fragebogen zur Erhebung von Lernstrategien im mathematikhaltigen Studium
M. Liebendörfer, R. Göller, R. Biehler, R. Hochmuth, J. Kortemeyer, L. Ostsieker, J. Rode, N. Schaper, Journal für Mathematik-Didaktik (2020).
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| DOI
M. Liebendörfer, R. Göller, R. Biehler, R. Hochmuth, J. Kortemeyer, L. Ostsieker, J. Rode, N. Schaper, Journal für Mathematik-Didaktik (2020).
2020 | Journal Article | LibreCat-ID: 16290
Deep model predictive flow control with limited sensor data and online learning
K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
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K. Bieker, S. Peitz, S.L. Brunton, J.N. Kutz, M. Dellnitz, Theoretical and Computational Fluid Dynamics 34 (2020) 577–591.
2020 | Preprint | LibreCat-ID: 19941
Backward error analysis for variational discretisations of partial differential equations
R.I. McLachlan, C. Offen, ArXiv:2006.14172 (n.d.).
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R.I. McLachlan, C. Offen, ArXiv:2006.14172 (n.d.).
2020 | Journal Article | LibreCat-ID: 19939
Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
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L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
2020 | Journal Article | LibreCat-ID: 16288
Data-driven approximation of the Koopman generator: Model reduction, system identification, and control
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
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| DOI
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, C. Schütte, Physica D: Nonlinear Phenomena 406 (2020).
2020 | Journal Article | LibreCat-ID: 21819
Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator
S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
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S. Klus, F. Nüske, B. Hamzi, Entropy (2020).
2020 | Journal Article | LibreCat-ID: 10596
Pareto Explorer: a global/local exploration tool for many-objective optimization problems
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
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| DOI
O. Schütze, O. Cuate, A. Martín, S. Peitz, M. Dellnitz, Engineering Optimization 52 (2020) 832–855.
2020 | Book Chapter | LibreCat-ID: 16289
Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
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| DOI
S. Peitz, S. Klus, in: Lecture Notes in Control and Information Sciences, Springer, Cham, 2020, pp. 257–282.
2020 | Book Chapter | LibreCat-ID: 13108
Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge
J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen und Sprache im Mathematikunterricht, Springer, 2020.
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| DOI
J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen und Sprache im Mathematikunterricht, Springer, 2020.
2020 | Journal Article | LibreCat-ID: 16710
A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
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| DOI
R. Gerlach, A. Ziessler, B. Eckhardt, M. Dellnitz, SIAM Journal on Applied Dynamical Systems (2020) 705–723.
2020 | Journal Article | LibreCat-ID: 16309
Data-Driven Model Predictive Control using Interpolated Koopman Generators
S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
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S. Peitz, S.E. Otto, C.W. Rowley, SIAM Journal on Applied Dynamical Systems 19 (2020) 2162–2193.
2020 | Book Chapter | LibreCat-ID: 16963
Erklärung von Mathematikleistung im Ingenieursstudium
C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge Zum {Mathematikunterricht} 2019 53. {Jahrestagung} Der {Gesellschaft} Für {Didaktik} Der {Mathematik}., WTM-Verlag, Münster, 2020.
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C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: A. Frank, S. Krauss, K. Binder (Eds.), Beiträge Zum {Mathematikunterricht} 2019 53. {Jahrestagung} Der {Gesellschaft} Für {Didaktik} Der {Mathematik}., WTM-Verlag, Münster, 2020.
2020 | Book Chapter | LibreCat-ID: 17411
Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
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| DOI
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020.
2020 | Journal Article | LibreCat-ID: 16297
Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty
C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30 (2020) 7593–7618.
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C.I. Hernández Castellanos, S. Ober-Blöbaum, S. Peitz, International Journal of Robust and Nonlinear Control 30 (2020) 7593–7618.
2020 | Journal Article | LibreCat-ID: 16964
Das Kompetenzzentrum Hochschuldidaktik Mathematik (khdm)
R. Hochmuth, M. Liebendörfer, R. Biehler, A. Eichler, Neues Handbuch Hochschullehre 95 (2020) 117–138.
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R. Hochmuth, M. Liebendörfer, R. Biehler, A. Eichler, Neues Handbuch Hochschullehre 95 (2020) 117–138.
2020 | Journal Article | LibreCat-ID: 16965
Ein Kurzbericht aus dem Forschungsprojekt WiGeMath-Lernzentren als Unterstützungsmaßnahme für mathematikbezogenes Lernen in der Studieneingangsphase
M. Schürmann, N. Schaper, M. Liebendörfer, R. Biehler, E. Lankeit, R. Hochmuth, J. Ruge, C. Kuklinski, Dghd-Newsletter 01/2020 (2020) 25–29.
LibreCat
M. Schürmann, N. Schaper, M. Liebendörfer, R. Biehler, E. Lankeit, R. Hochmuth, J. Ruge, C. Kuklinski, Dghd-Newsletter 01/2020 (2020) 25–29.
2020 | Book Chapter | LibreCat-ID: 17994
The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020, pp. 55–85.
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| DOI
R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer, Cham, 2020, pp. 55–85.
2020 | Journal Article | LibreCat-ID: 19938
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
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R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
2019 | Journal Article | LibreCat-ID: 10595
On the hierarchical structure of Pareto critical sets
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
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| DOI
B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913.
2019 | Conference Paper | LibreCat-ID: 13107
A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers
J. Schumacher, S. Rezat, in: U.T. Jankvist, M. Van den Heuvel-Panhuizen, M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Freudenthal Group & Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands, n.d.
LibreCat
J. Schumacher, S. Rezat, in: U.T. Jankvist, M. Van den Heuvel-Panhuizen, M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Freudenthal Group & Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands, n.d.
2019 | Book Chapter | LibreCat-ID: 16966
Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students
C. Kuklinski, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, E. Lankeit, E. Leis, M. Schürmann, in: Proceedings of {CERME} 11, Utrecht, 2019.
LibreCat
C. Kuklinski, M. Liebendörfer, R. Hochmuth, R. Biehler, N. Schaper, E. Lankeit, E. Leis, M. Schürmann, in: Proceedings of {CERME} 11, Utrecht, 2019.
2019 | Book (Editor) | LibreCat-ID: 13139
Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany
S. Rezat, L. Fan, M. Hattermann, J. Schumacher, H. Wuschke, eds., Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany, Universitätsbibliothek Paderborn, Paderborn, 2019.
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S. Rezat, L. Fan, M. Hattermann, J. Schumacher, H. Wuschke, eds., Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany, Universitätsbibliothek Paderborn, Paderborn, 2019.
2019 | Preprint | LibreCat-ID: 16296
ROM-based multiobjective optimization of elliptic PDEs via numerical continuation
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, ArXiv:1906.09075 (2019).
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S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, ArXiv:1906.09075 (2019).
2019 | Journal Article | LibreCat-ID: 16708
The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems (2019) 1265–1292.
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| DOI
A. Ziessler, M. Dellnitz, R. Gerlach, SIAM Journal on Applied Dynamical Systems (2019) 1265–1292.
2019 | Conference Paper | LibreCat-ID: 10597
Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
LibreCat
| DOI
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.
2019 | Journal Article | LibreCat-ID: 16709
Continuous relaxations for the traveling salesman problem
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
LibreCat
| DOI
T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019).
2019 | Preprint | LibreCat-ID: 16711
Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
LibreCat
R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).
2019 | Journal Article | LibreCat-ID: 8753
Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2019) 171–199.
LibreCat
| DOI
S. Peitz, S. Ober-Blöbaum, M. Dellnitz, Acta Applicandae Mathematicae 161 (2019) 171–199.
2019 | Journal Article | LibreCat-ID: 10593
Koopman operator-based model reduction for switched-system control of PDEs
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
LibreCat
| DOI
S. Peitz, S. Klus, Automatica 106 (2019) 184–191.
2019 | Journal Article | LibreCat-ID: 21
A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices
D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.
LibreCat
| DOI
| arXiv
D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.
2019 | Journal Article | LibreCat-ID: 16712
On the equivariance properties of self-adjoint matrices
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems (2019) 1–19.
LibreCat
| DOI
M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems (2019) 1–19.
2019 | Misc | LibreCat-ID: 8482
Arbitrary sensitivity for inverse problems in piezoelectricity
B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
LibreCat
B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.
2019 | Journal Article | LibreCat-ID: 21944
Coarse-graining molecular systems by spectral matching
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
LibreCat
| DOI
F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019).
2019 | Conference Paper | LibreCat-ID: 13106
Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen
J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.
LibreCat
J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.