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Kathrin Padberg-Gehle

Prof. Dr.

Kathrin Padberg-Gehle

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Prof. Dr. Kathrin Padberg-Gehle

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    1. 2024
    2. Published

      Lagrangian studies of coherent sets and heat transport in constant heat flux-driven turbulent Rayleigh-Bénard convection

      Vieweg, P. P., Klünker, A., Schumacher, J. & Padberg-Gehle, K., 01.01.2024, In: European Journal of Mechanics, B/Fluids. 103, p. 69-85 17 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    3. Published

      Mathematisches Modellieren und Bildung für nachhaltige Entwicklung — zusammen denken, was zusammengehört?

      Schlüter, D., Göller, R., Hagena, M., Padberg-Gehle, K. & Besser, M., 2024, Beiträge zum Mathematikunterricht 2024: 57. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 04.03.2024 bis 08.03.2024 in Essen. Ebers, P., Rösken, F., Barzel, B., Büchter, A., Schacht, F. & Scherer, P. (eds.). Münster: WTM - Verlag für wissenschaftliche Texte und Medien, Vol. 3. p. 1277-1280 4 p.

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research

    4. 2023
    5. Published

      Computational Study of Three-Dimensional Lagrangian Transport and Mixing in a Stirred Tank Reactor  

      Weiland, C., Steuwe, E., Fitschen, J., Hoffmann, M., Schlüter, M., Padberg-Gehle, K. & von Kameke, A., 15.05.2023, In: Chemical Engineering Journal Advances. 14, 13 p., 100448.

      Research output: Journal contributions › Journal articles › Research › peer-review

    6. Published

      A Python toolbox for the numerical solution of the Maxey-Riley equation

      Urizarna-Carasa, J., Ruprecht, D., von Kameke, A. & Padberg-Gehle, K., 01.03.2023, In: Proceedings in applied mathematics and mechanics. 22, 1, 6 p., e202200242.

      Research output: Journal contributions › Conference article in journal › Research › peer-review

    7. Published

      Network-based analysis of Lagrangian transport and mixing

      Padberg-Gehle, K., 2023, Transport and Scale Interactions in Geophysical Flows. Franzke, C. L. E., Oliver, M., Rademacher, J. & Rypina, I. (eds.). Oberwolfach-Walke: Mathematisches Forschungsinstitut Oberwolfach, p. 46-48 3 p. (Oberwolfach Reports - OWR; vol. 2023, no. 31).

      Research output: Contributions to collected editions/works › Published abstract in conference proceedings › Research

    8. 2022
    9. Published

      Open-flow mixing and transfer operators

      Klünker, A., Padberg-Gehle, K. & Thiffeault, J.-L., 13.06.2022, In: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 380, 2225, 22 p., 20210028.

      Research output: Journal contributions › Journal articles › Research › peer-review

    10. Published

      Evolutionary clustering of Lagrangian trajectories in turbulent Rayleigh-Bénard convection flows

      Schneide, C., Vieweg, P. P., Schumacher, J. & Padberg-Gehle, K., 01.01.2022, In: Chaos. 32, 1, 013123 .

      Research output: Journal contributions › Journal articles › Research › peer-review

    11. 2021
    12. Published

      Lagrangian heat transport in turbulent three-dimensional convection

      Vieweg, P. P., Schneide, C., Padberg-Gehle, K. & Schumacher, J., 01.04.2021, In: Physical Review Fluids. 6, 4, 8 p., L041501.

      Research output: Journal contributions › Journal articles › Research › peer-review

    13. Published

      Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns

      Ndour, M., Padberg-Gehle, K. & Rasmussen, M., 02.2021, In: Fluids. 6, 2, 24 p., 49.

      Research output: Journal contributions › Journal articles › Research › peer-review

    14. Published

      A transfer operator based computational study of mixing processes in open flow systems

      Klünker, A. & Padberg-Gehle, K., 25.01.2021, In: Proceedings in applied mathematics and mechanics. 20, 1, 3 p., e202000133.

      Research output: Journal contributions › Conference article in journal › Research › peer-review

    15. Published

      Lagrangian analysis of long-term dynamics of turbulent superstructures

      Schneide, C., Padberg-Gehle, K. & Schumacher, J., 01.01.2021, In: Proceedings in applied mathematics and mechanics. 20, 1, 4 p., e202000197.

      Research output: Journal contributions › Conference article in journal › Research › peer-review

    16. Published

      Meeresströmungen, Google-Matrix und Netzwerke: Analyse von Transportprozessen

      Padberg-Gehle, K., 2021, Beiträge zum Mathematikunterricht 2021: Vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) ; (1.-25. März 2021). Hein, K., Heil, C., Ruwisch, S. & Prediger, S. (eds.). Münster: WTM - Verlag für wissenschaftliche Texte und Medien, p. 13-20 8 p.

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research

    17. 2020
    18. Published

      Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection

      Klünker, A., Schneide, C., Froyland, G., Schumacher, J. & Padberg-Gehle, K., 01.01.2020, Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Junge, O., Schütze, O., Froyland, G., Ober-Blöbaum, S. & Padberg-Gehle, K. (eds.). Cham: Springer, p. 86-108 23 p. (Studies in Systems, Decision and Control; vol. 304).

      Research output: Contributions to collected editions/works › Chapter › peer-review

    19. Published

      Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

      Junge, O. (Editor), Schütze, O. (Editor), Froyland, G. (Editor), Ober-Blöbaum, S. (Editor) & Padberg-Gehle, K. (Editor), 2020, Cham: Springer. 392 p. (Studies in Systems, Decision and Control; vol. 304)

      Research output: Books and anthologies › Collected editions and anthologies › Research

    20. Published

      Extraction of finite-time coherent sets in 3D Rayleigh-Benard Convection using the dynamic Laplacian

      Froyland, G., Klünker, A., Padberg-Gehle, K., Schneide, C. & Schumacher, J., 2020, In: Bulletin of the American Physical Society. 65, 13, 1 p., K08.00003.

      Research output: Journal contributions › Conference abstract in journal › Research

    21. Published

      Lagrangian Coherent Sets as transport barriers in convection

      Schumacher, J., Vieweg, P. P., Schneide, C. & Padberg-Gehle, K., 2020, In: Bulletin of the American Physical Society. 65, 13, 1 p., F16.00009.

      Research output: Journal contributions › Conference abstract in journal › Research

    22. Published

      Machine Learning Applications in Convective Turbulence

      Kräuter, R., Krasnov, D., Pandey, A., Schneide, C., Padberg-Gehle, K., Giannakis, D., Sreenivasan, K. R. & Schumacher, J., 2020, NIC Symposium 2020: 27 − 28 February 2020, Jülich, Germany, Proceedings. Müller, M., Binder, K. & Trauntmann, A. (eds.). Jülich: Forschungszentrum Jülich , p. 357-366 10 p. (Publication Series of the John von Neumann Institute for Computing (NIC); vol. 50).

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research

    23. 2019
    24. Published

      Lagrangian coherent sets in turbulent Rayleigh-Bénard convection

      Schneide, C., Stahn, M., Pandey, A., Junge, O., Koltai, P., Padberg-Gehle, K. & Schumacher, J., 11.11.2019, In: Physical Review E. 100, 5, 16 p., 053103.

      Research output: Journal contributions › Journal articles › Research › peer-review

    25. Published

      Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

      Klünker, A., Schneide, C., Pandey, A., Padberg-Gehle, K. & Schumacher, J., 01.11.2019, In: Proceedings in applied mathematics and mechanics. 19, 1, 2 p., 201900201.

      Research output: Journal contributions › Conference abstract in journal › Research › peer-review

    26. Published

      Network measures of mixing

      Banisch, R., Koltai, P. & Padberg-Gehle, K., 06.2019, In: Chaos. 29, 6, 063125.

      Research output: Journal contributions › Journal articles › Research › peer-review

    27. Published

      Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps

      Sato, Y. & Padberg-Gehle, K., 2019, Ithaca: Cornell University, 6 p. (arXiv.org).

      Research output: Working paper › Working papers

    28. Published

      S. Balasuriya: “Barriers and Transport in Unsteady Flows: A Melnikov Approach”

      Padberg-Gehle, K., 2019, In: Jahresbericht der Deutschen Mathematiker-Vereinigung. 121, 2, p. 143-146 4 p.

      Research output: Journal contributions › Critical reviews › Research

    29. 2018
    30. Published

      Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters

      Schneide, C., Pandey, A., Padberg-Gehle, K. & Schumacher, J., 15.11.2018, In: Physical Review Fluids. 3, 11, 113502.

      Research output: Journal contributions › Journal articles › Research › peer-review

    31. Published

      Eulerian and Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

      Pandey, A., Schneide, C., Padberg-Gehle, K., Scheel, J. D. & Schumacher, J., 2018, NIC Symposium 2018: 22-23 February 2018, Jülich, Germany : proceedings. Binder, K., Müller, M. & Trautmann, A. (eds.). Jülich: Forschungszentrum Jülich , p. 421-428 8 p. (NIC Series; vol. 49).

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research

    32. Published

      Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters

      Schumacher, J., Schneide, C., Pandey, A. & Padberg-Gehle, K., 2018, 71st Annual Meeting of the APS Division of Fluid Dynamics . New York: American Physical Society, 1 p. BAPS.2018.DFD.G33.7. (Bulletin of the American Physical Society; vol. 63, no. 13).

      Research output: Contributions to collected editions/works › Published abstract in conference proceedings › Research

    33. 2017
    34. Published

      Modeling and Simulation of Electrochemical Cells under Applied Voltage

      Rossi, M., Wallmersperger, T., Neukamm, S. & Padberg-Gehle, K., 20.12.2017, In: Electrochimica Acta. 258, p. 241 - 254 14 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    35. Published

      Trajectory-based computational study of coherent behavior in flows

      Padberg-Gehle, K. & Schneide, C., 12.2017, In: Proceedings in applied mathematics and mechanics. 17, 1, p. 11-14 4 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    36. Published

      Set-oriented numerical computation of rotation sets

      Polotzek, K., Padberg-Gehle, K. & Oertel-Jäger, T., 01.11.2017, In: Journal of Computational Dynamics. 4, 1, p. 119-141 23 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    37. Published

      Network-based study of Lagrangian transport and mixing

      Padberg-Gehle, K. & Schneide, C., 20.10.2017, In: Nonlinear Processes in Geophysics. 24, 4, p. 661 - 671 11 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    38. Published

      Robustness of coherent sets computations

      Klünker, A. & Padberg-Gehle, K., 2017, Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary. Stépán, G. & Csernák, G. (eds.). Budapest: Congressline Ltd., 2 p. 493

      Research output: Contributions to collected editions/works › Published abstract in conference proceedings › Research › peer-review

    39. Transfer operator-based extraction of coherent features on surfaces

      Padberg-Gehle, K., Reuther, S., Praetorius, S. & Voigt, A., 2017, Topological Methods in Data Analysis and Visualization IV : Theory, Algorithms, and Applications. Carr, H., Garth, C. & Weinkauf, T. (eds.). Cham : Springer International Publishing AG, p. 283-297 15 p. (Topological methods in data analysis and visualization; vol. 4)( Mathematics and visualization).

      Research output: Contributions to collected editions/works › Contributions to collected editions/anthologies › Research › peer-review

    40. 2015

    41. Multiobjective optimal control of fluid mixing

      Ober-Blöbaum, S. & Padberg-Gehle, K., 21.10.2015, In: Proceedings in applied mathematics and mechanics. 15, 1, p. 639-640 2 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    42. Role of critical points of the skin friction field in formation of plumes in thermal convection

      Bandaru, V., Kolchinskaya, A., Padberg-Gehle, K. & Schumacher, J., 06.10.2015, In: Physical Review E. 92, 4, 1 p., 043006.

      Research output: Journal contributions › Journal articles › Research › peer-review

    43. A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data

      Froyland, G. & Padberg-Gehle, K., 01.08.2015, In: Chaos. 25, 8, 15 p., 087406.

      Research output: Journal contributions › Journal articles › Research › peer-review

    44. 2014

    45. Set-oriented numerical analysis of time-dependent transport

      Padberg-Gehle, K. & Froyland, G., 10.12.2014, In: Oberwolfach Reports. 11, 1, p. 258-259 2 p.

      Research output: Journal contributions › Conference abstract in journal › Research

    46. Accurate control of hyperbolic trajectories in any dimension

      Balasuriya, S. & Padberg-Gehle, K., 03.09.2014, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90, 3, 032903.

      Research output: Journal contributions › Journal articles › Research › peer-review

    47. Nonautonomous control of stable and unstable manifolds in two-dimensional flows

      Balasuriya, S. & Padberg-Gehle, K., 15.05.2014, In: Physica D: Nonlinear Phenomena. 276, p. 48-60 13 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    48. Almost-invariant and finite-time coherent sets: Directionality, duration, and diffusion

      Froyland, G. & Padberg-Gehle, K., 01.01.2014, Ergodic Theory, Open Dynamics, and Coherent Structures. Bahsoun, W., Bose, C. & Froyland, G. (eds.). New York: Springer, p. 171-216 46 p. (Springer Proceedings in Mathematics & Statistics; vol. 70).

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

    49. 2013

    50. Controlling the unsteady analogue of saddle stagnation points

      Balasuriya, S. & Padberg-Gehle, K., 23.04.2013, In: SIAM Journal on Applied Mathematics. 73, 2, p. 1038-1057 20 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    51. 2012

    52. Comment éviter la formation d'embouteillages de moteurs moléculaires lors du trafic intracellulaire?

      Leduc, C., Padberg-Gehle, K., Varga, V., Helbing, D., Diez, S. & Howard, J., 21.12.2012, In: Medecine/Sciences. 28, 12, p. 1064-1066 3 p.

      Research output: Journal contributions › Comments / Debate / Reports › Research

    53. Finite-time entropy: A probabilistic approach for measuring nonlinear stretching

      Froyland, G. & Padberg-Gehle, K., 01.10.2012, In: Physica D: Nonlinear Phenomena. 241, 19, p. 1612-1628 17 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    54. Molecular crowding creates traffic jams of kinesin motors on microtubules

      Leduc, C., Padberg-Gehle, K., Varga, V., Helbing, D., Diez, S. & Howard, J., 17.04.2012, In: Proceedings of the National Academy of Sciences (USA). 109, 16, p. 6100-6105 6 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    55. 2011

    56. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

      Dellnitz, M., Padberg, K., Preis, R. & Thiere, B., 2011, Nonlinear Science and Complexity. Machado, T. J. A., Luo, C. J. A., Barbosa, S. R., Silva, F. M. & Figueiredo, B. L. (eds.). Dordrecht: Springer Netherlands, p. 99-105 7 p.

      Research output: Contributions to collected editions/works › Chapter › peer-review

    57. 2010

    58. Dynamics of Supply Chains Under Mixed Production Strategies

      Donner, R., Padberg, K., Höfener, J. & Helbing, D., 2010, Progress in Industrial Mathematics at ECMI 2008. Fitt, D. A., Norbury, J., Ockendon, H. & Wilson, E. (eds.). Berlin, Heidelberg: Springer, p. 527-533 7 p. (Mathematics in Industry; vol. 15).

      Research output: Contributions to collected editions/works › Contributions to collected editions/anthologies › Research › peer-review

    59. 2009

    60. Seasonal variability of the subpolar gyres in the Southern Ocean: A numerical investigation based on transfer operators

      Dellnitz, M., Froyland, G., Horenkamp, C., Padberg-Gehle, K. & Sen Gupta, A., 08.12.2009, In: Nonlinear Processes in Geophysics. 16, 6, p. 655-663 10 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    61. Biologistics and the struggle for efficiency: Concepts and perspectives

      Helbing, D., Deutsch, A., Diez, S., Peters, K., Kalaidzidis, Y., Padberg-Gehle, K., Lämmer, S., Johansson, A., Breier, G., Schulze, F. & Zerial, M., 12.2009, In: Advances in Complex Systems. 12, 6, p. 533-548 16 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    62. Local expansion concepts for detecting transport barriers in dynamical systems

      Padberg, K., Thiere, B., Preis, R. & Dellnitz, M., 12.2009, In: Communications in Nonlinear Science and Numerical Simulation. 14, 12, p. 4176-4190 15 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    63. Almost-invariant sets and invariant manifolds: Connecting probabilistic and geometric descriptions of coherent structures in flows

      Froyland, G. & Padberg, K., 01.08.2009, In: Physica D: Nonlinear Phenomena. 238, 16, p. 1507-1523 17 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    64. On the approximation of transport phenomena: A dynamical systems approach

      Dellnitz, M., Froyland, G., Horenkamp, C. & Padberg, K., 01.06.2009, In: GAMM Mitteilungen. 32, 1, p. 47-60 14 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    65. 2008

    66. A transfer operator based numerical investigation of coherent structures in three-dimensional Southern ocean circulation

      Froyland, G., Schwalb, M., Padberg, K. & Dellnitz, M., 09.2008, Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications (NOLTA'08): Budapest, Hungary, September 7–10, 2008. Kolumban, G. & Endo, T. (eds.). Research Society of Nonlinear Theory and Its Application , p. 313-316 4 p.

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

    67. 2007

    68. Lagrangian structures and transport in turbulent magnetized plasmas

      Padberg, K., Hauff, T., Jenko, F. & Junge, O., 06.11.2007, In: New Journal of Physics. 9, November, 16 p., 400.

      Research output: Journal contributions › Journal articles › Research › peer-review

    69. Detection of coherent oceanic structures via transfer operators

      Froyland, G., Padberg, K., England, M. H. & Treguier, A. M., 01.06.2007, In: Physical Review Letters. 98, 22, 224503.

      Research output: Journal contributions › Journal articles › Research › peer-review

    70. Set oriented approximation of invariant manifolds: Review of concepts for astrodynamical problems

      Dellnitz, M., Padberg, K., Post, M. & Thiere, B., 07.02.2007, New Trends in Astrodynamics and Applications III: Princeton, New Jersey, 16-18 August 2006. Belbruno, E. (ed.). Princeton, New Jersey: American Institute of Physics Inc., p. 90-99 10 p. (AIP conference proceedings; vol. 886, no. 1).

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

    71. 2006

    72. Efficient control of formation flying spacecraft

      Dellnitz, M., Junge, O., Krishnamurthy, A., Ober-Bloebaum, S., Padberg, K. & Preis, R., 01.01.2006, New Trends in Parallel & Distributed Computing: within the scope of the DFG Collaborative Research Centre 376 Massively Parallel Computing: Algorithms, Design Methods, Applications. Meyer auf der Heide, F. & Monien, B. (eds.). Paderborn: Heinz Nixdorf Institut, p. 235-247 13 p. (HNI-Verlagsschriftenreihe; vol. 181).

      Research output: Contributions to collected editions/works › Contributions to collected editions/anthologies › Research › peer-review

    73. 2005

    74. Transport of Mars-crossing asteroids from the quasi-Hilda region

      Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D. & Thiere, B., 17.06.2005, In: Physical Review Letters. 94, 23, 231102.

      Research output: Journal contributions › Journal articles › Research › peer-review

    75. Transport in dynamical astronomy and multibody problems

      Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D. & Thiere, B., 03.2005, In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15, 3, p. 699-727 29 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    76. Set oriented computation of transport rates in 3-degree of freedom systems: The Rydberg atom in crossed fields

      Dellnitz, M., Grubits, K. A., Marsden, J. E., Padberg, K. & Thiere, B., 2005, In: Regular and Chaotic Dynamics. 10, 2, p. 173-192 20 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    77. 2004

    78. mαth-kit: Ein multimedialer Baukasten für die Mathematikausbildung im Grundstudium

      Unger, L., Bauch, M. J., Baudry, A., Bungenstock, M., Mertsching, B., Oevel, G., Thiere, B. & Padberg, K., 2004, In: Softwaretechnik-Trends . 24, 1, p. 62-71 10 p.

      Research output: Journal contributions › Journal articles › Research › peer-review

    79. 2002

    80. math-kit: Ein webbasierter multimedialer Baukasten für die Lehre.

      Padberg, K., Oevel, G. & Thiere, B., 08.2002, In: mathPAD. 11, 1, p. 25-26 2 p.

      Research output: Journal contributions › Journal articles › Transfer › peer-review

    81. Web-Based Drills in Maths Using a Computer Algebra System

      Padberg, K. & Schiller, S., 2002, Proceedings of ED-MEDIA 2002, World Conference on Educational Multimedia, Hypermedia and Telecommunications: June 24 - 29, 2002, Denver, Colorado, USA. Barker, P. & Rebelsky, S. (eds.). Norfolk: Association for the Advancement of Computing in Education, p. 1551-1552 2 p.

      Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review