Edit Profile (opens in new tab) Apte, Amit Co-Author Distance Author ID: apte.amit Published as: Apte, Amit; Apte, A. External Links: MGP Documents Indexed: 24 Publications since 1998, including 4 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 20 Joint Publications 905 Co-Co-Authors all top 5 Co-Authors 1 single-authored 3 Jones, Christopher K. R. T. 3 Mandal, Pinak 3 Reddy, Anugu Sumith 2 Auroux, Didier 2 Carrassi, Alberto 2 Fuchss, K. 2 Grudzien, Colin J. 2 Gurumoorthy, Karthik S. 2 Ramaswamy, Mythily 2 Roy, Shashank Kumar 2 Stuart, Andrew M. 2 Voss, Jochen 1 Bocquet, Marc 1 Budhiraja, Amarjit S. 1 da Silva Dias, Pedro Leite 1 de la Llave, Rafael 1 Dhar, Abhishek 1 Engler, Hans 1 Esteban, Maria J. 1 Ganapa, Santhosh 1 Hairer, Martin 1 Kennington, Jeffery L. 1 Krass, Iosif A. 1 Lungu, Edward M. 1 Mahata, Ajit 1 Mohamed, Riad A. K. 1 Nurujjaman, Md. 1 Padhi, Reetish 1 Parmananda, Punit 1 Petrov, Nikola P. 1 Sagastizábal, Claudia A. 1 Shivamurthy, Sumanth 1 Singla, Tanu 1 Vadlamani, Sreekar 1 Whitler, Jason E. all top 5 Serials 4 Physica D 4 Chaos 3 SIAM Journal on Control and Optimization 1 International Journal for Numerical Methods in Fluids 1 Journal of Statistical Physics 1 Nonlinearity 1 Naval Research Logistics 1 Systems & Control Letters 1 Electronic Journal of Differential Equations (EJDE) 1 SIAM/ASA Journal on Uncertainty Quantification 1 Foundations of Data Science all top 5 Fields 8 Dynamical systems and ergodic theory (37-XX) 7 Systems theory; control (93-XX) 4 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 133 times in 94 Documents Cited by ▼ Year ▼ Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026 Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 30 2007 Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300 Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J. 19 2008 Meanders and reconnection-collision sequences in the standard nontwist map. Zbl 1080.37048 Wurm, A.; Apte, A.; Fuchss, K.; Morrison, P. J. 18 2005 Renormalization and destruction of \(1/\gamma^2\) tori in the standard nontwist map. Zbl 1080.37556 Apte, A.; Wurm, A.; Morrison, P. J. 14 2003 Breakup of shearless meanders and “outer” tori in the standard nontwist map. Zbl 1146.37349 Fuchss, K.; Wurm, A.; Apte, A.; Morrison, P. J. 13 2006 Regularity of critical invariant circles of the standard nontwist map. Zbl 1074.37026 Apte, A.; de la Llave, Rafael; Petrov, Nikola P. 12 2005 Renormalization for breakup of invariant tori. Zbl 1153.37374 Apte, A.; Wurm, A.; Morrison, P. J. 8 2005 Degenerate Kalman filter error covariances and their convergence onto the unstable subspace. Zbl 1365.93497 Bocquet, Marc; Gurumoorthy, Karthik S.; Apte, Amit; Carrassi, Alberto; Grudzien, Colin; Jones, Christopher K. R. T. 7 2017 Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution. Zbl 1361.93062 Gurumoorthy, Karthik S.; Grudzien, Colin; Apte, Amit; Carrassi, Alberto; Jones, Christopher K. R. T. 4 2017 Asymptotic properties of linear filter for deterministic processes. Zbl 1447.93353 Reddy, Anugu Sumith; Apte, Amit; Vadlamani, Sreekar 3 2020 Class scheduling algorithms for navy training schools. Zbl 0948.90061 Apte, A.; Jayasuriya, A.; Kennington, J.; Krass, I.; Mohamed, R.; Sorensen, S.; Whitler, J. 2 1998 Thermalization of local observables in the \(\alpha \)-FPUT chain. Zbl 1473.70059 Ganapa, Santhosh; Apte, Amit; Dhar, Abhishek 2 2020 Variational data assimilation for discrete Burgers equation. Zbl 1200.35010 Apte, Amit; Auroux, Didier; Ramaswamy, Mythily 2 2010 Stability of non-linear filter for deterministic dynamics. Zbl 1481.93135 Reddy, Anugu Sumith; Apte, Amit 1 2021 Stability of non-linear filter for deterministic dynamics. Zbl 1481.93135 Reddy, Anugu Sumith; Apte, Amit 1 2021 Asymptotic properties of linear filter for deterministic processes. Zbl 1447.93353 Reddy, Anugu Sumith; Apte, Amit; Vadlamani, Sreekar 3 2020 Thermalization of local observables in the \(\alpha \)-FPUT chain. Zbl 1473.70059 Ganapa, Santhosh; Apte, Amit; Dhar, Abhishek 2 2020 Degenerate Kalman filter error covariances and their convergence onto the unstable subspace. Zbl 1365.93497 Bocquet, Marc; Gurumoorthy, Karthik S.; Apte, Amit; Carrassi, Alberto; Grudzien, Colin; Jones, Christopher K. R. T. 7 2017 Rank deficiency of Kalman error covariance matrices in linear time-varying system with deterministic evolution. Zbl 1361.93062 Gurumoorthy, Karthik S.; Grudzien, Colin; Apte, Amit; Carrassi, Alberto; Jones, Christopher K. R. T. 4 2017 Variational data assimilation for discrete Burgers equation. Zbl 1200.35010 Apte, Amit; Auroux, Didier; Ramaswamy, Mythily 2 2010 Data assimilation: mathematical and statistical perspectives. Zbl 1384.62300 Apte, A.; Jones, C. K. R. T.; Stuart, A. M.; Voss, J. 19 2008 Sampling the posterior: an approach to non-Gaussian data assimilation. Zbl 1113.62026 Apte, A.; Hairer, M.; Stuart, A. M.; Voss, J. 30 2007 Breakup of shearless meanders and “outer” tori in the standard nontwist map. Zbl 1146.37349 Fuchss, K.; Wurm, A.; Apte, A.; Morrison, P. J. 13 2006 Meanders and reconnection-collision sequences in the standard nontwist map. Zbl 1080.37048 Wurm, A.; Apte, A.; Fuchss, K.; Morrison, P. J. 18 2005 Regularity of critical invariant circles of the standard nontwist map. Zbl 1074.37026 Apte, A.; de la Llave, Rafael; Petrov, Nikola P. 12 2005 Renormalization for breakup of invariant tori. Zbl 1153.37374 Apte, A.; Wurm, A.; Morrison, P. J. 8 2005 Renormalization and destruction of \(1/\gamma^2\) tori in the standard nontwist map. Zbl 1080.37556 Apte, A.; Wurm, A.; Morrison, P. J. 14 2003 Class scheduling algorithms for navy training schools. Zbl 0948.90061 Apte, A.; Jayasuriya, A.; Kennington, J.; Krass, I.; Mohamed, R.; Sorensen, S.; Whitler, J. 2 1998 all cited Publications top 5 cited Publications all top 5 Cited by 187 Authors 8 Apte, Amit 7 Meiss, James D. 5 Morozov, Al’bert Dmitrievich 4 Caldas, Iberê L. 4 de la Llave, Rafael 4 Stuart, Andrew M. 3 Bocquet, Marc 3 Dullin, Holger R. 3 Li, Jinglai 3 Morozov, Kirill Evgen’evich 3 Wen, Linjie 3 Wu, Jiangqi 2 Calleja, Renato C. 2 Carrassi, Alberto 2 Constantinescu, Constanţa Dana 2 del-Castillo-Negrete, Diego 2 Fox, Adam M. 2 Fuchss, K. 2 Grudzien, Colin J. 2 Hairer, Martin 2 Haro, Àlex 2 Horn, Martin Erik 2 Ivanov, Alexey V. 2 Jones, Christopher K. R. T. 2 Law, Kody J. H. 2 McDougall, Damon 2 Olvera, Arturo 2 Petrov, Nikola P. 2 Reddy, Anugu Sumith 2 Rougier, Jonathan C. 2 Seeber, Richard 2 Tempone, Raúl F. 2 Tigan, Gheorghe 2 Tranninger, Markus 2 Voss, Jochen 1 Abarbanel, Henry D. I. 1 Abud, C. V. 1 Alawieh, Leen 1 Anitescu, Mihai 1 Arcucci, Rossella 1 Argentiero, Amedeo 1 Balasuriya, Sanjeeva 1 Beattie, Christopher A. 1 Beims, Marcus W. 1 Bell, John B. 1 Benning, Martin 1 Béréziat, Dominique 1 Berliner, L. Mark 1 Blazevski, Daniel 1 Bou-Rabee, Nawaf M. 1 Bovi, Maurizio 1 Bröcker, Jochen 1 Brunton, Steven L. 1 Budišić, Marko 1 Bui-Thanh, Tan 1 Burger, Martin 1 Burnetas, Apostolos N. 1 Carbajal, Leopoldo 1 Cerqueti, Roy 1 Chakraborti, Subhadip 1 Chen, Jiaheng 1 Chen, Nan 1 Cheng, Sibo 1 Chertovskih, Roman A. 1 Chian, Abraham C.-L. 1 Chimanski, Emanuel V. 1 Cocciaglia, Niccolò 1 Constantine, Paul G. 1 Cornford, Dan 1 Cotter, Simon L. 1 Cox, Graham 1 Dashti, Masoumeh 1 Dhar, Abhishek 1 El Moselhy, Tarek A. 1 Ellam, Louis 1 Ernst, Oliver G. 1 Farazmand, Mohammad 1 Farchi, Alban 1 Figueras, Jordi-Lluís 1 Firpo, Marie-Christine 1 Freitag, Melina A. 1 Fu, Shubin 1 Gidea, Marian 1 Girolami, Mark A. 1 Goldstein, Sheldon 1 González-Enríquez, Alejandra 1 González, Alejandra 1 Goodman, Jonathan B. 1 Gradenigo, Giacomo 1 Green, Peter L. 1 Gugercin, Serkan 1 Guo, Yike 1 Gurumoorthy, Karthik S. 1 Haller, George 1 Herlin, Isabelle L. 1 Herty, Michael Matthias 1 Howard, James E. 1 Iacomini, Elisa 1 Jiang, Jiahua 1 Jing, Yang ...and 87 more Authors all top 5 Cited in 42 Serials 15 Physica D 10 Chaos 5 Chaos, Solitons and Fractals 4 Journal of Computational Physics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Inverse Problems 3 The Annals of Applied Probability 3 SIAM Review 3 Regular and Chaotic Dynamics 3 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Statistical Physics 2 Systems & Control Letters 2 Journal of Scientific Computing 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Foundations of Data Science 1 International Journal for Numerical Methods in Fluids 1 Physica A 1 Scandinavian Journal of Statistics 1 Journal of Statistical Planning and Inference 1 Memoirs of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Numerical Algorithms 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Computational Geosciences 1 Foundations of Computational Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Industrial and Management Optimization 1 GAMM-Mitteilungen 1 Journal of the Korean Statistical Society 1 Journal of Biological Dynamics 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Journal of Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Statistics and Computing 1 Communications in Applied and Industrial Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 24 Fields 39 Dynamical systems and ergodic theory (37-XX) 27 Statistics (62-XX) 20 Numerical analysis (65-XX) 19 Probability theory and stochastic processes (60-XX) 13 Systems theory; control (93-XX) 9 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 7 Geophysics (86-XX) 6 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year