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282 Publications


2003 | Journal Article | LibreCat-ID: 16600
Froyland, G., & Dellnitz, M. (2003). Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles. SIAM Journal on Scientific Computing, 1839–1863. https://doi.org/10.1137/s106482750238911x
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2002 | Journal Article | LibreCat-ID: 16586
Elsässer, R., Monien, B., & Preis, R. (2002). Diffusion Schemes for Load Balancing on Heterogeneous Networks. Theory of Computing Systems, 305–320. https://doi.org/10.1007/s00224-002-1056-4
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2002 | Journal Article | LibreCat-ID: 16556
Dellnitz, M. (2002). Finding zeros by multilevel subdivision techniques. IMA Journal of Numerical Analysis, 167–185. https://doi.org/10.1093/imanum/22.2.167
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2002 | Book Chapter | LibreCat-ID: 16538
Dellnitz, M., & Junge, O. (2002). Set Oriented Numerical Methods for Dynamical Systems. In Handbook of Dynamical Systems. https://doi.org/10.1016/s1874-575x(02)80026-1
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2001 | Book Chapter | LibreCat-ID: 16598
Froyland, G. (2001). Extracting Dynamical Behavior via Markov Models. In Nonlinear Dynamics and Statistics. Boston, MA. https://doi.org/10.1007/978-1-4612-0177-9_12
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2001 | Journal Article | LibreCat-ID: 16601
Froyland, G., Junge, O., & Ochs, G. (2001). Rigorous computation of topological entropy with respect to a finite partition. Physica D: Nonlinear Phenomena, 68–84. https://doi.org/10.1016/s0167-2789(01)00216-0
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2001 | Book Chapter | LibreCat-ID: 16555
Dellnitz, M., Froyland, G., & Junge, O. (2001). The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems. In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56589-2_7
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2001 | Journal Article | LibreCat-ID: 16617
Junge, O. (2001). An adaptive subdivision technique for the approximation of attractors and invariant measures: proof of convergence. Dynamical Systems, 213–222. https://doi.org/10.1080/14689360109696233
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2000 | Book Chapter | LibreCat-ID: 16513
Aston, P. J., & Dellnitz, M. (2000). The Computation of Lyapunov Exponents via Spatial Integration Using Vector Norms. In Equadiff 99. https://doi.org/10.1142/9789812792617_0196
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2000 | Book Chapter | LibreCat-ID: 16553
Dellnitz, M., Froyland, G., & Sertl, S. (2000). A Conjecture on the Existence of Isolated Eigenvalues of the Perron-Frobenius Operator. In Equadiff 99. https://doi.org/10.1142/9789812792617_0199
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2000 | Book Chapter | LibreCat-ID: 16616
Junge, O. (2000). Rigorous discretization of subdivision techniques. In Equadiff 99. https://doi.org/10.1142/9789812792617_0178
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2000 | Book Chapter | LibreCat-ID: 17018
Dellnitz, M., Junge, O., Rumpf, M., & Strzodka, R. (2000). The computation of an unstable invariant set inside a cylinder containing a knotted flow. In Equadiff 99 (pp. 1053--1059). https://doi.org/10.1142/9789812792617_0204
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2000 | Journal Article | LibreCat-ID: 16554
Dellnitz, M., Froyland, G., & Sertl, S. (2000). On the isolated spectrum of the Perron-Frobenius operator. Nonlinearity, 1171–1188. https://doi.org/10.1088/0951-7715/13/4/310
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1999 | Journal Article | LibreCat-ID: 16537
Dellnitz, M., & Junge, O. (1999). On the Approximation of Complicated Dynamical Behavior. SIAM Journal on Numerical Analysis, 491–515. https://doi.org/10.1137/s0036142996313002
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1999 | Journal Article | LibreCat-ID: 17017
Bürkle, D., Dellnitz, M., Junge, O., Rumpf, M., & Spielberg, M. (1999). Visualizing Complicated Dynamics. Proceedings of Visualization 99.
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1999 | Book Chapter | LibreCat-ID: 16584
Deuflhard, P., Dellnitz, M., Junge, O., & Schütte, C. (1999). Computation of Essential Molecular Dynamics by Subdivision Techniques. In Computational Molecular Dynamics: Challenges, Methods, Ideas. Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58360-5_5
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1999 | Journal Article | LibreCat-ID: 16511
Aston, P. J., & Dellnitz, M. (1999). The computation of lyapunov exponents via spatial integration with application to blowout bifurcations. Computer Methods in Applied Mechanics and Engineering, 223–237. https://doi.org/10.1016/s0045-7825(98)00196-0
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1998 | Journal Article | LibreCat-ID: 16536
Dellnitz, M., & Junge, O. (1998). An adaptive subdivision technique for the approximation of attractors and invariant measures. Computing and Visualization in Science, 63–68. https://doi.org/10.1007/s007910050006
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1997 | Journal Article | LibreCat-ID: 17015
Dellnitz, M., & Hohmann, A. (1997). A subdivision algorithm for the computation of unstable manifolds and global attractors. Numerische Mathematik, 75, 293–317. https://doi.org/10.1007/s002110050240
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1997 | Journal Article | LibreCat-ID: 16614
Guder, R., Dellnitz, M., & Kreuzer, E. (1997). An adaptive method for the approximation of the generalized cell mapping. Chaos, Solitons & Fractals, 525–534. https://doi.org/10.1016/s0960-0779(96)00118-x
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