Michael Dellnitz
Michael Dellnitz
Professor for Applied Mathematics, Paderborn University
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Zitiert von
Zitiert von
Texts in Applied Mathematics 2
JE Marsden, L Sirovich, SS Antman, G Iooss, P Holmes, D Barkley, ...
On the approximation of complicated dynamical behavior
M Dellnitz, O Junge
SIAM Journal on Numerical Analysis 36 (2), 491-515, 1999
A subdivision algorithm for the computation of unstable manifolds and global attractors
M Dellnitz, A Hohmann
Numerische Mathematik 75, 293-317, 1997
A survey of methods for computing (un) stable manifolds of vector fields
B Krauskopf, HM Osinga, EJ Doedel, ME Henderson, J Guckenheimer, ...
International Journal of Bifurcation and Chaos 15 (03), 763-791, 2005
The algorithms behind GAIO—Set oriented numerical methods for dynamical systems
M Dellnitz, G Froyland, O Junge
Ergodic theory, analysis, and efficient simulation of dynamical systems, 145-174, 2001
Set oriented numerical methods for dynamical systems
M Dellnitz, O Junge
Handbook of dynamical systems 2, 221-264, 2002
Covering Pareto sets by multilevel subdivision techniques
M Dellnitz, O Schütze, T Hestermeyer
Journal of optimization theory and applications 124, 113-136, 2005
Detecting and locating near-optimal almost-invariant sets and cycles
G Froyland, M Dellnitz
SIAM Journal on Scientific Computing 24 (6), 1839-1863, 2003
Transport in dynamical astronomy and multibody problems
M Dellnitz, O Junge, WS Koon, F Lekien, MW Lo, JE Marsden, K Padberg, ...
International Journal of Bifurcation and Chaos 15 (03), 699-727, 2005
Computational methods for bifurcation problems with symmetries—with special attention to steady state and Hopf bifurcation points
M Dellnitz, B Werner
Continuation techniques and bifurcation problems, 97-123, 1990
The computation of unstable manifolds using subdivision and continuation
M Dellnitz, A Hohmann
Nonlinear dynamical systems and chaos, 449-459, 1996
On continuation methods for the numerical treatment of multi-objective optimization problems
O Schütze, A Dell'Aere, M Dellnitz
Dagstuhl Seminar Proceedings, 2005
Computation of essential molecular dynamics by subdivision techniques
P Deuflhard, M Dellnitz, O Junge, C Schütte
Computational Molecular Dynamics: Challenges, Methods, Ideas: Proceedings of …, 1999
Exploring invariant sets and invariant measures
M Dellnitz, A Hohmann, O Junge, M Rumpf
CHAOS: An Interdisciplinary Journal of Nonlinear Science 7 (2), 221-228, 1997
Covering Pareto sets by multilevel evolutionary subdivision techniques
O Schütze, S Mostaghim, M Dellnitz, J Teich
International Conference on Evolutionary Multi-Criterion Optimization, 118-132, 2003
A survey of recent trends in multiobjective optimal control—surrogate models, feedback control and objective reduction
S Peitz, M Dellnitz
Mathematical and computational applications 23 (2), 30, 2018
An adaptive subdivision technique for the approximation of attractors and invariant measures
M Dellnitz, O Junge
Computing and Visualization in Science 1 (2), 63-68, 1998
The structure of symmetric attractors
I Melbourne, M Dellnitz, M Golubitsky
Archive for rational mechanics and analysis 123, 75-98, 1993
On the isolated spectrum of the Perron-Frobenius operator
M Dellnitz, G Froyland, S Sertl
Nonlinearity 13 (4), 1171, 2000
Seasonal variability of the subpolar gyres in the Southern Ocean: a numerical investigation based on transfer operators
M Dellnitz, G Froyland, C Horenkamp, K Padberg-Gehle, A Sen Gupta
Nonlinear Processes in Geophysics 16 (6), 655-663, 2009
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