Edit Profile Jolly, Michael S. Compute Distance To: Compute Author ID: jolly.michael-s Published as: Jolly, M.; Jolly, M. S.; Jolly, Michael; Jolly, Michael S. Documents Indexed: 63 Publications since 1989 all top 5 Co-Authors 4 single-authored 26 Foiaş, Ciprian Ilie 18 Titi, Edriss Saleh 8 Kevrekidis, Ioannis George 8 Rosa, Ricardo M. S. 6 Dascaliuc, Radu 6 Manley, Oscar P. 5 Temam, Roger Meyer 4 Martinez, Vincent R. 3 Balci, Nusret 3 Farhat, Aseel 3 Sadigov, Tural 2 Brown, Harry S. 2 Johnson, Mark E. 2 Kravchenko, Rostyslav V. 2 Kukavica, Igor 2 Van Vleck, Erik S. 2 Wirosoetisno, Djoko 2 Xiong, Changming 2 Yang, Yong 2 Zhang, Bingsheng 1 Biswas, Animikh 1 Cao, Yu 1 Cheskidov, Alexey 1 Chung, Yi-Min 1 Dieci, Luca 1 Grujić, Zoran 1 Holmes, William R. 1 Huang, Aimin 1 Hudson, Joshua 1 Huo, Wenru 1 Isenberg, A. M. 1 Johnston, Hans 1 Lan, Ruomeng 1 Li, Wenshuang 1 Lithio, Dan 1 Lunasin, Evelyn M. 1 Olson, Eric J. 1 Rubinstein, Jacob 1 Rupam, Rishika 1 Whitehead, Jared P. 1 Xiong, Chunguang 1 Yang, Mengta all top 5 Serials 7 Physica D 6 Nonlinearity 4 Journal of Differential Equations 4 Journal of Dynamics and Differential Equations 3 Journal of Mathematical Physics 3 Discrete and Continuous Dynamical Systems 2 Journal of Statistical Physics 2 Indiana University Mathematics Journal 2 Journal of Nonlinear Science 2 Journal of Mathematical Fluid Mechanics 2 Advanced Nonlinear Studies 1 Communications in Mathematical Physics 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Physics Letters. A 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 Numerical Functional Analysis and Optimization 1 Chinese Annals of Mathematics. Series B 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 SIAM Journal on Scientific Computing 1 Advances in Differential Equations 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Confluentes Mathematici 1 Journal of Computational Dynamics all top 5 Fields 49 Partial differential equations (35-XX) 35 Fluid mechanics (76-XX) 27 Dynamical systems and ergodic theory (37-XX) 14 Ordinary differential equations (34-XX) 11 Numerical analysis (65-XX) 5 Operator theory (47-XX) 3 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 518 times in 299 Documents Cited by ▼ Year ▼ Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 82 1990 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 31 2015 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Dissipativity of numerical schemes. Zbl 0734.65080Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 Explicit construction of an inertial manifold for a reaction diffusion equation. Zbl 0691.35049Jolly, Michael S. 26 1989 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 19 2005 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 17 2012 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 17 2010 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 17 1995 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 15 2017 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 14 2014 Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations. Zbl 0767.35059Jolly, M. S. 14 1993 Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation. Zbl 0738.35024Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 14 1991 A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 12 2015 Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048Jolly, M. S.; Rosa, R.; Temam, R. 11 2000 Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies. Zbl 0885.65081Johnson, Mark E.; Jolly, Michael S.; Kevrekidis, Ioannis G. 11 1997 Accurate computations on inertial manifolds. Zbl 0988.34048Jolly, M. S.; Rosa, R.; Temam, R. 10 2001 On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation. Zbl 0941.65526Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 10 1994 Kolmogorov theory via finite-time averages. Zbl 1083.35091Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 9 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S. 8 2018 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335Dascaliuc, R.; Foias, C.; Jolly, M. S. 7 2007 Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 6 2017 Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211Foias, Ciprian; Jolly, Michael S.; Lan, Ruomeng; Rupam, Rishika; Yang, Yong; Zhang, Bingsheng 6 2015 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2008 On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 6 2003 On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419Dascaliuc, R.; Foias, C.; Jolly, M. S. 5 2009 Computation of non-smooth local centre manifolds. Zbl 1076.76062Jolly, M. S.; Rosa, R. 5 2005 The Oseberg transition: visualization of global bifurcations for the Kuramoto-Sivashinsky equation. Zbl 1090.35506Johnson, M. E.; Jolly, M. S.; Kevrekidis, I. G. 5 2001 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 5 1996 A unified approach to compute foliations, inertial manifolds, and tracking solutions. Zbl 1347.37134Chung, Y.-M.; Jolly, M. S. 4 2015 Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. 4 2014 On single mode forcing of the 2D-NSE. Zbl 1285.35067Foias, C.; Jolly, M. S.; Yang, M. 4 2013 Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046Foias, C.; Jolly, M. S.; Li, W.-S. 4 2002 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 3 2019 Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. Zbl 1397.35312Huang, Aimin; Huo, Wenru; Jolly, Michael 3 2018 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 3 2017 2-D turbulence for forcing in all scales. Zbl 1193.35123Balci, N.; Foias, C.; Jolly, M. S. 3 2010 On universal relations in 2-D turbulence. Zbl 1193.35124Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo 3 2010 On computing the long-time solution of the two-dimensional Navier-Stokes equations. Zbl 0838.76065Jolly, M. S.; Xiong, C. 3 1995 A minimal model for spatio-temporal patterns in thin film flow. Zbl 0744.58054Brown, H. S.; Kevrekidis, I. G.; Jolly, M. S. 3 1991 Use of approximate inertial manifolds in bifurcation calculations. Zbl 0739.35005Brown, H. S.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 3 1990 Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 07100323Hudson, Joshua; Jolly, Michael 2 2019 A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S. 2 2019 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044Foias, C.; Jolly, M. S. 2 2005 Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. Zbl 1080.34551Jolly, M. S.; Témam, R.; Xiong, C. 2 1995 An application of approximate inertial manifolds to a weakly damped nonlinear Schrödinger equation. Zbl 0851.65071Jolly, M. S.; Temam, R.; Xiong, C. 2 1995 Turbulence in vertically averaged convection. Zbl 1398.76064Balci, N.; Isenberg, A. M.; Jolly, M. S. 1 2018 Energy spectra and passive tracer cascades in turbulent flows. Zbl 1394.76052Jolly, M. S.; Wirosoetisno, D. 1 2018 On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng 1 2014 Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models. Zbl 1304.35483Farhat, Aseel; Jolly, Michael S.; Lunasin, Evelyn 1 2014 Hydro-elastic waves in a cochlear model: numerical simulations and an analytically reduced model. Zbl 1387.35492Holmes, William R.; Jolly, Michael; Rubinstein, Jacob 1 2011 Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation. Zbl 1427.35204Jolly, Michael S.; Martinez, Vincent R.; Olson, Eric J.; Titi, Edriss S. 3 2019 Numerical efficacy study of data assimilation for the 2D magnetohydrodynamic equations. Zbl 07100323Hudson, Joshua; Jolly, Michael 2 2019 A determining form for the subcritical surface quasi-geostrophic equation. Zbl 1420.35042Jolly, Michael S.; Martinez, Vincent R.; Sadigov, Tural; Titi, Edriss S. 2 2019 Assimilation of nearly turbulent Rayleigh-Bénard flow through vorticity or local circulation measurements: a computational study. Zbl 1404.76100Farhat, Aseel; Johnston, Hans; Jolly, Michael; Titi, Edriss S. 8 2018 Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian. Zbl 1397.35312Huang, Aimin; Huo, Wenru; Jolly, Michael 3 2018 Turbulence in vertically averaged convection. Zbl 1398.76064Balci, N.; Isenberg, A. M.; Jolly, M. S. 1 2018 Energy spectra and passive tracer cascades in turbulent flows. Zbl 1394.76052Jolly, M. S.; Wirosoetisno, D. 1 2018 A data assimilation algorithm for the subcritical surface quasi-geostrophic equation. Zbl 1358.35091Jolly, Michael S.; Martinez, Vincent R.; Titi, Edriss S. 15 2017 Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equation – Fourier modes case. Zbl 1364.35312Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 6 2017 One-dimensional parametric determining form for the two-dimensional Navier-Stokes equations. Zbl 1379.35211Foias, Ciprian; Jolly, Michael S.; Lithio, Dan; Titi, Edriss S. 3 2017 Continuous data assimilation for the 2D Bénard convection through velocity measurements alone. Zbl 1364.76053Farhat, Aseel; Jolly, Michael S.; Titi, Edriss S. 31 2015 A determining form for the damped driven nonlinear Schrödinger equation – Fourier modes case. Zbl 1309.35135Jolly, Michael S.; Sadigov, Tural; Titi, Edriss S. 12 2015 Time analyticity with higher norm estimates for the 2D Navier-Stokes equations. Zbl 1339.35211Foias, Ciprian; Jolly, Michael S.; Lan, Ruomeng; Rupam, Rishika; Yang, Yong; Zhang, Bingsheng 6 2015 A unified approach to compute foliations, inertial manifolds, and tracking solutions. Zbl 1347.37134Chung, Y.-M.; Jolly, M. S. 4 2015 A unified approach to determining forms for the 2D Navier-Stokes equations – the general interpolants case. Zbl 1301.35108Foias, C.; Jolly, M. S.; Kravchenko, R.; Titi, E. S. 14 2014 Dissipation length scale estimates for turbulent flows: a Wiener algebra approach. Zbl 1300.35066Biswas, A.; Jolly, M. S.; Martinez, V. R.; Titi, E. S. 4 2014 On whether zero is in the global attractor of the 2D Navier-Stokes equations. Zbl 1304.35485Foias, Ciprian; Jolly, Michael S.; Yang, Yong; Zhang, Bingsheng 1 2014 Bounds on energy and enstrophy for the 3D Navier-Stokes-\(\alpha\) and Leray-\(\alpha\) models. Zbl 1304.35483Farhat, Aseel; Jolly, Michael S.; Lunasin, Evelyn 1 2014 On single mode forcing of the 2D-NSE. Zbl 1285.35067Foias, C.; Jolly, M. S.; Yang, M. 4 2013 A determining form for the two-dimensional Navier-Stokes equations: the Fourier modes case. Zbl 1426.76103Foias, Ciprian; Jolly, Michael S.; Kravchenko, Rostyslav; Titi, Edriss S. 17 2012 Hydro-elastic waves in a cochlear model: numerical simulations and an analytically reduced model. Zbl 1387.35492Holmes, William R.; Jolly, Michael; Rubinstein, Jacob 1 2011 Estimates on enstrophy, palinstrophy, and invariant measures for 2-D turbulence. Zbl 1185.35161Dascaliuc, R.; Foias, C.; Jolly, M. S. 17 2010 2-D turbulence for forcing in all scales. Zbl 1193.35123Balci, N.; Foias, C.; Jolly, M. S. 3 2010 On universal relations in 2-D turbulence. Zbl 1193.35124Balci, Nusret; Foias, Ciprian; Jolly, M. S.; Rosa, Ricardo 3 2010 On the asymptotic behavior of average energy and enstrophy in 3D turbulent flows. Zbl 1160.37419Dascaliuc, R.; Foias, C.; Jolly, M. S. 5 2009 Some specific mathematical constraints on 2D turbulence. Zbl 1158.76016Dascaliuc, R.; Foias, C.; Jolly, M. S. 6 2008 Error in approximation of Lyapunov exponents on intertial manifolds: the Kuramoto-Sivashinsky equation. Zbl 1162.35401Dieci, L.; Jolly, M. S.; Rosa, R.; Van Vleck, E. S. 2 2008 Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane. Zbl 1144.81335Dascaliuc, R.; Foias, C.; Jolly, M. S. 7 2007 Relations between energy and enstrophy on the global attractor of the 2-D Navier-Stokes equations. Zbl 1100.35078Dascaliuc, R.; Foias, C.; Jolly, M. S. 19 2005 Kolmogorov theory via finite-time averages. Zbl 1083.35091Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R.; Temam, R. 9 2005 Kraichnan turbulence via finite time averages. Zbl 1065.76101Foias, C.; Jolly, M. S.; Manley, O. P. 9 2005 Computation of non-smooth local centre manifolds. Zbl 1076.76062Jolly, M. S.; Rosa, R. 5 2005 On the behavior of the Lorenz equation backward in time. Zbl 1068.34044Foias, C.; Jolly, M. S. 2 2005 On the Landau–Lifschitz degrees of freedom in 2-D turbulence. Zbl 1028.76014Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 6 2003 Statistical estimates for the Navier-Stokes equations and the Kraichnan theory of 2-D fully developed turbulence. Zbl 1158.76327Foias, C.; Jolly, M. S.; Manley, O. P.; Rosa, R. 29 2002 Nevanlinna-Pick interpolation of attractors. Zbl 1015.37046Foias, C.; Jolly, M. S.; Li, W.-S. 4 2002 Accurate computations on inertial manifolds. Zbl 0988.34048Jolly, M. S.; Rosa, R.; Temam, R. 10 2001 The Lorenz equation as a metaphor for the Navier-Stokes equations. Zbl 1052.76012Foias, C.; Jolly, M. S.; Kukavica, I.; Titi, E. S. 8 2001 The Oseberg transition: visualization of global bifurcations for the Kuramoto-Sivashinsky equation. Zbl 1090.35506Johnson, M. E.; Jolly, M. S.; Kevrekidis, I. G. 5 2001 Evaluating the dimension of an inertial manifold for the Kuramoto-Sivashinsky equation. Zbl 1045.37048Jolly, M. S.; Rosa, R.; Temam, R. 11 2000 Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies. Zbl 0885.65081Johnson, Mark E.; Jolly, Michael S.; Kevrekidis, Ioannis G. 11 1997 Localization of attractors by their analytic properties. Zbl 0905.34048Foias, C.; Jolly, M. S.; Kukavica, I. 5 1996 On the numerical algebraic approximation of global attractors. Zbl 0837.34052Foias, C.; Jolly, M. S. 17 1995 On computing the long-time solution of the two-dimensional Navier-Stokes equations. Zbl 0838.76065Jolly, M. S.; Xiong, C. 3 1995 Convergence of a chaotic attractor with increased spatial resolution of the Ginzburg-Landau equation. Zbl 1080.34551Jolly, M. S.; Témam, R.; Xiong, C. 2 1995 An application of approximate inertial manifolds to a weakly damped nonlinear Schrödinger equation. Zbl 0851.65071Jolly, M. S.; Temam, R.; Xiong, C. 2 1995 On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation. Zbl 0941.65526Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 10 1994 Bifurcation computations on an approximate inertial manifold for the 2D Navier-Stokes equations. Zbl 0767.35059Jolly, M. S. 14 1993 Dissipativity of numerical schemes. Zbl 0734.65080Foias, C.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 27 1991 Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation. Zbl 0738.35024Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 14 1991 A minimal model for spatio-temporal patterns in thin film flow. Zbl 0744.58054Brown, H. S.; Kevrekidis, I. G.; Jolly, M. S. 3 1991 Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations. Zbl 0704.58030Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 82 1990 Use of approximate inertial manifolds in bifurcation calculations. Zbl 0739.35005Brown, H. S.; Jolly, M. S.; Kevrekidis, I. G.; Titi, E. S. 3 1990 Explicit construction of an inertial manifold for a reaction diffusion equation. Zbl 0691.35049Jolly, Michael S. 26 1989 all cited Publications top 5 cited Publications all top 5 Cited by 407 Authors 39 Titi, Edriss Saleh 34 Jolly, Michael S. 20 Foiaş, Ciprian Ilie 14 Danca, Marius-Florin 10 Temam, Roger Meyer 8 Dascaliuc, Radu 8 Kevrekidis, Ioannis George 8 Rosa, Ricardo M. S. 7 Biswas, Animikh 7 Farhat, Aseel 7 Lunasin, Evelyn M. 6 Kukavica, Igor 6 Martinez, Vincent R. 6 Rocha, Carlos 6 Wang, Xiaoming 5 Cheskidov, Alexey 5 Fiedler, Bernold 5 Grujić, Zoran 5 Olson, Eric J. 5 Osinga, Hinke Maria 5 Vicol, Vlad C. 4 Dai, Mimi 4 Doering, Charles R. 4 García-Archilla, Bosco 4 Glatt-Holtz, Nathan E. 4 Jones, Don A. 4 Larios, Adam 4 Mondaini, Cecilia F. 4 Novo, Julia 4 Roberts, Anthony John 4 Zhu, Jiang 3 Akhtar, Imran 3 Ayala, Diego 3 Bartuccelli, Michele V. 3 Bollt, Erik M. 3 Chen, Guanrong 3 Karniadakis, George Em 3 Krauskopf, Bernd 3 Kuznetsov, Nikolay Vladimirovich 3 Luo, Zhendong 3 Manley, Oscar P. 3 Papageorgiou, Demetrios T. 3 Robinson, James Cooper 3 Sadigov, Tural 2 Adrover, Alessandra 2 Akrivis, Georgios D. 2 Allouba, Hassan 2 Armero, Francisco 2 Azouani, Abderrahim 2 Balci, Nusret 2 Barker, Blake 2 Borggaard, Jeff T. 2 Brunovský, Pavol 2 Bunder, J. E. 2 Çamliyurt, Güher 2 Carlberg, Kevin T. 2 Chen, Zhimin 2 Chorin, Alexandre Joel 2 Christofides, Panagiotis D. 2 Constantin, Peter 2 Cung The Anh 2 Dellnitz, Michael 2 Duan, Jinqiao 2 Dubois, Thierry 2 Ervin, Vincent J. 2 Gao, Peng 2 Gerlach, Raphael 2 Giona, Massimiliano 2 Goubet, Olivier 2 Guo, Shangjiang 2 Guo, Yanqiu 2 Hassanaly, Malik 2 Hay, Alexander 2 Hudson, Joshua 2 Jauberteau, François 2 Kirby, Michael P. 2 Ma, Liangliang 2 Marion, Martine 2 Mazzucato, Anna L. 2 Pei, Yuan 2 Pötzsche, Christian 2 Price, W. Geraint 2 Protas, Bartosz 2 Raman, Venkat 2 Rasmussen, Martin 2 Rebholz, Leo G. 2 Rezunenko, Oleksandr V”yacheslavovych 2 Russell, Robert D. 2 Sell, George Roger 2 Simo, Juan Carlos 2 Sirisup, Sirod 2 Smaoui, Nejib 2 Smyrlis, Yiorgos-Sokratis 2 Steyer, Andrew J. 2 Toi, Vu Manh 2 Tomlin, Ruben J. 2 Van Vleck, Erik S. 2 Vega, José Manuel 2 Whitehead, Jared P. 2 Wirosoetisno, Djoko ...and 307 more Authors all top 5 Cited in 86 Serials 32 Physica D 18 Journal of Differential Equations 17 Journal of Dynamics and Differential Equations 11 Journal of Mathematical Analysis and Applications 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Chaos 9 Journal of Computational Physics 9 Journal of Nonlinear Science 9 SIAM Journal on Applied Dynamical Systems 7 Mathematics of Computation 7 Applied Mathematics and Computation 6 Communications in Mathematical Physics 6 Journal of Computational and Applied Mathematics 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Archive for Rational Mechanics and Analysis 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Numerical Mathematics 5 Evolution Equations and Control Theory 4 Computers & Mathematics with Applications 4 Journal of Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Theoretical and Computational Fluid Dynamics 4 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Fluid Mechanics 4 Journal of Applied Analysis and Computation 3 Journal of Fluid Mechanics 3 Journal of Statistical Physics 3 Chaos, Solitons and Fractals 3 SIAM Journal on Numerical Analysis 3 Applied Mathematics and Mechanics. (English Edition) 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 RAIRO. 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Mathematics 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 St. Petersburg Mathematical Journal 1 Advances in Computational Mathematics 1 Complexity 1 Mathematical Problems in Engineering 1 Computational Geosciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Journal of Physics A: Mathematical and Theoretical 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 São Paulo Journal of Mathematical Sciences 1 Journal of Computational Dynamics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics of Climate and Weather Forecasting all top 5 Cited in 31 Fields 196 Partial differential equations (35-XX) 131 Fluid mechanics (76-XX) 120 Dynamical systems and ergodic theory (37-XX) 68 Numerical analysis (65-XX) 48 Ordinary differential equations (34-XX) 28 Systems theory; control (93-XX) 12 Geophysics (86-XX) 10 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 6 Biology and other natural sciences (92-XX) 5 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year