Edit Profile (opens in new tab) Lekien, Francois Co-Author Distance Author ID: lekien.francois Published as: Lekien, Francois; Lekien, François; Lekien, F. more...less External Links: MGP Documents Indexed: 9 Publications since 2005 Co-Authors: 17 Co-Authors with 9 Joint Publications 577 Co-Co-Authors all top 5 Co-Authors 0 single-authored 5 Marsden, Jerrold Eldon 3 Ross, Shane D. 2 Haller, George 2 Shadden, Shawn C. 1 Coulliette, Chad 1 Dellnitz, Michael 1 Junge, Oliver 1 Koon, Wang Sang 1 Leonard, Naomi Ehrich 1 Lo, Martin W. 1 Mariano, Arthur J. 1 Naik, Shibabrat 1 Padberg-Gehle, Kathrin 1 Preis, Robert 1 Ryan, Edward H. 1 Shay, Lynn K. 1 Thiere, Bianca all top 5 Serials 2 Physica D 1 Journal of Mathematical Physics 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Control and Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Physics of Fluids 1 Chaos 1 Regular and Chaotic Dynamics all top 5 Fields 6 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Geophysics (86-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 9 Publications have been cited 388 times in 278 Documents Cited by ▼ Year ▼ Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487 Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 204 2005 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374 Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 54 2007 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012 Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 32 2005 Tricubic interpolation in three dimensions. Zbl 1140.76423 Lekien, F.; Marsden, J. 29 2005 The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds. Zbl 1311.76109 Lekien, Francois; Ross, Shane D. 28 2010 Pollution release tied to invariant manifolds: a case study for the coast of Florida. Zbl 1149.86302 Lekien, Francois; Coulliette, Chad; Mariano, Arthur J.; Ryan, Edward H.; Shay, Lynn K.; Haller, George; Marsden, Jerry 24 2005 Nonuniform coverage and cartograms. Zbl 1182.93109 Lekien, Francois; Leonard, Naomi Ehrich 11 2009 Unsteady flow separation on slip boundaries. Zbl 1182.76447 Lekien, Francois; Haller, George 4 2008 Computational method for phase space transport with applications to Lobe dynamics and rate of escape. Zbl 1381.37098 Naik, Shibabrat; Lekien, Francois; Ross, Shane D. 2 2017 Computational method for phase space transport with applications to Lobe dynamics and rate of escape. Zbl 1381.37098 Naik, Shibabrat; Lekien, Francois; Ross, Shane D. 2 2017 The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds. Zbl 1311.76109 Lekien, Francois; Ross, Shane D. 28 2010 Nonuniform coverage and cartograms. Zbl 1182.93109 Lekien, Francois; Leonard, Naomi Ehrich 11 2009 Unsteady flow separation on slip boundaries. Zbl 1182.76447 Lekien, Francois; Haller, George 4 2008 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374 Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 54 2007 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487 Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 204 2005 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012 Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 32 2005 Tricubic interpolation in three dimensions. Zbl 1140.76423 Lekien, F.; Marsden, J. 29 2005 Pollution release tied to invariant manifolds: a case study for the coast of Florida. Zbl 1149.86302 Lekien, Francois; Coulliette, Chad; Mariano, Arthur J.; Ryan, Edward H.; Shay, Lynn K.; Haller, George; Marsden, Jerry 24 2005 all cited Publications top 5 cited Publications all top 5 Cited by 520 Authors 18 Froyland, Gary 15 Haller, George 14 Balasuriya, Sanjeeva 13 Leung, Shingyu 13 You, Guoqiao 10 Ross, Shane D. 9 Bollt, Erik M. 9 Marsden, Jerrold Eldon 8 Padberg-Gehle, Kathrin 7 Siegmund, Stefan 6 Brunton, Steven L. 6 Koltai, Péter 6 Lekien, Francois 6 Santitissadeekorn, Naratip 6 Shadden, Shawn C. 5 Karrasch, Daniel 5 Mezić, Igor 5 Peikert, Ronald 5 Rowley, Clarence Worth 4 Branicki, Michał 4 Budišić, Marko 4 Dabiri, John O. 4 Song, Cheng 4 Tang, Wenbo 4 Wiggins, Stephen R. 3 Artana, Guillermo 3 Charó, Gisela D. 3 Dellnitz, Michael 3 Doan, Thai Son 3 Du Toit, Philip C. 3 Farazmand, Mohammad 3 Feng, Gang 3 Forgoston, Eric 3 Fuchs, Raphael 3 González-Tokman, Cecilia 3 Guzzo, Massimiliano 3 Lega, Elena 3 Liu, Lu 3 Ma, Tian 3 Mancho, Ana María 3 Masdemont, Josep J. 3 Mease, Kenneth D. 3 Mireles-James, Jason D. 3 Naik, Shibabrat 3 Ouellette, Nicholas T. 3 Rypina, Irina I. 3 Sadlo, Filip 3 Schindler, Benjamin 3 Schwartz, Ira Bruce 3 Sciamarella, Denisse 2 Arzani, Amirhossein 2 Attux, Romis 2 Avinyo, Albert 2 Aykutlug, Erkut 2 Besio, Giovanni 2 Billings, Lora 2 Boateng, Henry A. 2 Bremer, Peer-Timo 2 Chian, Abraham C.-L. 2 Curbelo, Jezabel 2 de Oliveira, José Raimundo 2 Duc, Luu Hoang 2 Ertl, Thomas 2 Fan, Yuan 2 Fazanaro, Filipe I. 2 Gaitonde, Datta V. 2 García-Garrido, Víctor J. 2 Garon, André 2 Giesl, Peter 2 Gómez, Gerard 2 Günther, Tobias 2 Horenkamp, Christian 2 Jacobs, Gustaaf B. 2 Kaiser, Eurika 2 Kantz, Holger 2 Kirwan, A. D. jun. 2 Krueger, Paul S. 2 Kutz, J. Nathan 2 Lalescu, Cristian C. 2 Liu, Yan 2 Lloyd, Simon 2 Lünsmann, Benedict J. 2 Madrid, Marconi K. 2 Maggia, Marco 2 Miron, Philippe 2 Mohseni, Kamran 2 Muñoz, Pablo R. 2 Nave, Gary K. jun. 2 Nelson, Daniel A. 2 Ng, Yu-Keung 2 Norgard, Greg 2 Olcay, Ali B. 2 Peacock, Thomas 2 Pobitzer, Armin 2 Rasmussen, Martin 2 Rempel, Erico L. 2 Sapsis, Themistoklis P. 2 Schlueter-Kuck, Kristy L. 2 Solà-Morales, Joan 2 Son, Doan Thai ...and 420 more Authors all top 5 Cited in 67 Serials 35 Physica D 35 Chaos 26 Journal of Fluid Mechanics 20 Journal of Computational Physics 9 Communications in Nonlinear Science and Numerical Simulation 7 Celestial Mechanics and Dynamical Astronomy 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Computers and Fluids 6 Automatica 6 Journal of Nonlinear Science 6 Physics of Fluids 6 SIAM Journal on Applied Dynamical Systems 5 Communications in Computational Physics 4 Journal of Scientific Computing 4 SIAM Review 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 Journal of Mathematical Analysis and Applications 3 Nonlinearity 3 Journal of Differential Equations 3 Nonlinear Dynamics 3 Regular and Chaotic Dynamics 3 Journal of Computational Dynamics 2 International Journal of Engineering Science 2 Journal of Computational and Applied Mathematics 2 Ergodic Theory and Dynamical Systems 2 Computational Mathematics and Mathematical Physics 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 European Journal of Mechanics. B. Fluids 2 GAMM-Mitteilungen 2 Acta Mechanica Sinica 2 Mathematical Geosciences 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 International Journal for Numerical Methods in Engineering 1 Journal of Optimization Theory and Applications 1 Meccanica 1 Results in Mathematics 1 Computer Aided Geometric Design 1 Journal of Intelligent & Robotic Systems 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Difference Equations and Applications 1 International Transactions in Operational Research 1 Computing and Visualization in Science 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Matematicheskoe Modelirovanie 1 Discrete and Continuous Dynamical Systems. Series B 1 Stochastics and Dynamics 1 Journal of Biological Dynamics 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Theoretical Biology 1 Forum of Mathematics, Sigma 1 SIAM/ASA Journal on Uncertainty Quantification 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 AIMS Mathematics 1 SMAI Journal of Computational Mathematics all top 5 Cited in 33 Fields 144 Dynamical systems and ergodic theory (37-XX) 121 Fluid mechanics (76-XX) 47 Numerical analysis (65-XX) 32 Ordinary differential equations (34-XX) 26 Mechanics of particles and systems (70-XX) 22 Geophysics (86-XX) 18 Computer science (68-XX) 17 Partial differential equations (35-XX) 15 Biology and other natural sciences (92-XX) 15 Systems theory; control (93-XX) 6 Operator theory (47-XX) 6 Probability theory and stochastic processes (60-XX) 6 Information and communication theory, circuits (94-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Algebraic topology (55-XX) 4 Statistics (62-XX) 4 Operations research, mathematical programming (90-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year