Edit Profile Pavliotis, Grigorios A. Compute Distance To: Compute Author ID: pavliotis.grigorios-a Published as: Pavliotis, G. A.; Pavliotis, Grigorios; Pavliotis, Grigorios A. Documents Indexed: 67 Publications since 2002, including 2 Books all top 5 Co-Authors 1 single-authored 12 Kalliadasis, Serafim 12 Stuart, Andrew M. 6 Papageorgiou, Demetrios T. 5 Gomes, Susana N. 5 Pradas, Marc 4 Duncan, Andrew B. 4 Schmuck, Markus 3 Abdulle, Assyr 3 Carrillo de la Plata, José Antonio 3 Latorre, Juan Cristobal 2 Gvalani, Rishabh S. 2 Kramer, Peter R. 2 Krumscheid, Sebastian 2 Lelièvre, Tony 2 Nüsken, Nikolas 2 Savva, Nikos 2 Tomlin, Ruben J. 2 Vaes, U. 2 Zygalakis, Konstantinos C. 1 Band, Leah R. 1 Blömker, Dirk 1 Bonnaillie-Noël, Virginie 1 Coti Zelati, Michele 1 Cuthbertson, Charles 1 Delgadino, Matias Gonzalo 1 Duong, Manh Hong 1 Durán-Olivencia, Miguel A. 1 Elliott, Charles M. 1 Goddard, Benjamin D. 1 Goudon, Thierry 1 Hairer, Martin 1 Hartmann, Carsten 1 Holmes, Mark H. 1 Kevrekidis, Ioannis George 1 Nier, Francis 1 Nolen, James H. 1 Papaefthymiou, E. S. 1 Papavasiliou, Anastasia 1 Pokern, Yvo 1 Pozharskij, D. A 1 Pruessner, Gunnar 1 Rafailidis, Avraam 1 Rubin, Katy J. 1 Schlichting, André 1 Thiffeault, Jean-Luc 1 Tseluiko, Dmitri 1 Vilmart, Gilles 1 Wiberg, Petter 1 Wichrowski, Noah J. 1 Zhang, Wei all top 5 Serials 6 Journal of Statistical Physics 5 Multiscale Modeling & Simulation 4 Journal of Computational Physics 4 Journal of Fluid Mechanics 3 IMA Journal of Applied Mathematics 3 Physica D 2 Journal of Nonlinear Science 2 Communications in Mathematical Sciences 2 Texts in Applied Mathematics 2 Journal of Computational Dynamics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Archive for Rational Mechanics and Analysis 1 IMA Journal of Numerical Analysis 1 Journal of Engineering Mathematics 1 Nonlinearity 1 Journal of Functional Analysis 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Stochastic Processes and their Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Theoretical and Applied Finance 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 23 Partial differential equations (35-XX) 23 Probability theory and stochastic processes (60-XX) 16 Fluid mechanics (76-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Numerical analysis (65-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 59 Publications have been cited 703 times in 474 Documents Cited by ▼ Year ▼ Multiscale methods. Averaging and homogenization. Zbl 1160.35006Pavliotis, Grigorios A.; Stuart, Andrew M. 192 2008 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003Pavliotis, Grigorios A. 74 2014 Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A. 28 2016 Parameter estimation for multiscale diffusions. Zbl 1137.82016Pavliotis, G. A.; Stuart, A. M. 27 2007 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042Lelièvre, T.; Nier, F.; Pavliotis, G. A. 26 2013 Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 20 2012 Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M. 19 2009 Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076Ottobre, M.; Pavliotis, G. A. 18 2011 Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 16 2013 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 16 2007 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 16 2004 White noise limits for inertial particles in a random field. Zbl 1038.60060Pavliotis, G. A.; Stuart, A. M. 15 2003 Optimizing the source distribution in fluid mixing. Zbl 1388.76088Thiffeault, Jean-Luc; Pavliotis, Grigorios A. 14 2008 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R. 9 2013 The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S. 9 2012 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 9 2008 Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 8 2015 Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 8 2012 Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D. 8 2012 Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013Abdulle, A.; Pavliotis, G. A. 8 2012 Periodic homogenization for inertial particles. Zbl 1100.82023Pavliotis, G. A.; Stuart, A. M. 8 2005 Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A. 7 2020 Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494Gomes, S. N.; Pavliotis, G. A. 7 2018 Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S. 7 2013 Multiscale modelling and inverse problems. Zbl 1245.76107Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M. 7 2012 Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006Pavliotis, G. A.; Stuart, A. M. 7 2005 Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A. 6 2017 Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045Pavliotis, G. A. 6 2010 Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A. 6 2010 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 6 2009 Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A. 5 2017 A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S. 5 2015 Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A. 5 2014 Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 5 2011 Homogenization for inertial particles in a random flow. Zbl 1133.60338Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 5 2007 A multiscale approach to Brownian motors. Zbl 1194.60057Pavliotis, G. A. 5 2005 Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135Duong, Manh Hong; Pavliotis, Grigorios A. 4 2018 Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580Duncan, A. B.; Nüsken, N.; Pavliotis, G. A. 4 2017 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 4 2016 Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim 4 2014 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143Cotter, C. J.; Pavliotis, G. A. 4 2009 Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. 3 2017 Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M. 3 2017 A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A. 3 2015 Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042Joubaud, R.; Pavliotis, G. A.; Stoltz, G. 3 2015 Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A. 3 2013 Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 3 2011 Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348Gibbon, J. D.; Pavliotis, G. A. 3 2007 Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063Pavliotis, G. A.; Stuart, A. M.; Band, L. 3 2006 Cloaking via mapping for the heat equation. Zbl 1401.35142Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A. 2 2018 Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter 2 2010 Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118Nüsken, N.; Pavliotis, G. A. 1 2019 Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. Zbl 07066212Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles 1 2019 A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M. 1 2015 Mapping multiplicative to additive noise. Zbl 1291.82091Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A. 1 2014 Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M. 1 2012 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 1 2010 A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040Pavliotis, Grigorios A.; Holmes, Mark H. 1 2002 Long-time behaviour and phase transitions for the McKean-Vlasov equation on the torus. Zbl 1436.58025Carrillo, J. A.; Gvalani, R. S.; Pavliotis, G. A.; Schlichting, A. 7 2020 Constructing sampling schemes via coupling: Markov semigroups and optimal transport. Zbl 1454.60118Nüsken, N.; Pavliotis, G. A. 1 2019 Accelerated convergence to equilibrium and reduced asymptotic variance for Langevin dynamics using Stratonovich perturbations. Zbl 07066212Abdulle, Assyr; Pavliotis, Grigorios A.; Vilmart, Gilles 1 2019 Mean field limits for interacting diffusions in a two-scale potential. Zbl 1394.35494Gomes, S. N.; Pavliotis, G. A. 7 2018 Mean field limits for non-Markovian interacting particles: convergence to equilibrium, generic formalism, asymptotic limits and phase transitions. Zbl 1411.35135Duong, Manh Hong; Pavliotis, Grigorios A. 4 2018 Cloaking via mapping for the heat equation. Zbl 1401.35142Craster, R. V.; Guenneau, Sebastien R. L.; Hutridurga, H. R.; Pavliotis, G. A. 2 2018 Stabilizing non-trivial solutions of the generalized Kuramoto-Sivashinsky equation using feedback and optimal control. Zbl 1406.35276Gomes, Susana N.; Papageorgiou, Demetrios T.; Pavliotis, Grigorios A. 6 2017 Three-dimensional wave evolution on electrified falling films. Zbl 1383.76553Tomlin, R. J.; Papageorgiou, D. T.; Pavliotis, G. A. 5 2017 Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions. Zbl 1387.35580Duncan, A. B.; Nüsken, N.; Pavliotis, G. A. 4 2017 Spectral methods for multiscale stochastic differential equations. Zbl 1398.65313Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. 3 2017 Controlling roughening processes in the stochastic Kuramoto-Sivashinsky equation. Zbl 1376.93119Gomes, S. N.; Kalliadasis, S.; Papageorgiou, D. T.; Pavliotis, G. A.; Pradas, M. 3 2017 Variance reduction using nonreversible Langevin samplers. Zbl 1343.82036Duncan, A. B.; Lelièvre, T.; Pavliotis, G. A. 28 2016 Efficient numerical calculation of drift and diffusion coefficients in the diffusion approximation of kinetic equations. Zbl 1433.82009Bonnaillie-Noël, V.; Carrillo, J. A.; Goudon, T.; Pavliotis, G. A. 4 2016 Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1316.35092Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 8 2015 A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation. Zbl 1328.35238Schmuck, M.; Pradas, M.; Pavliotis, G. A.; Kalliadasis, S. 5 2015 A new framework for extracting coarse-grained models from time series with multiscale structure. Zbl 1352.62136Kalliadasis, S.; Krumscheid, S.; Pavliotis, G. A. 3 2015 Langevin dynamics with space-time periodic nonequilibrium forcing. Zbl 1317.82042Joubaud, R.; Pavliotis, G. A.; Stoltz, G. 3 2015 A multiscale analysis of diffusions on rapidly varying surfaces. Zbl 1311.35324Duncan, A. B.; Elliott, C. M.; Pavliotis, G. A.; Stuart, A. M. 1 2015 Stochastic processes and applications. Diffusion processes, the Fokker-Planck and Langevin equations. Zbl 1318.60003Pavliotis, Grigorios A. 74 2014 Optimal control of multiscale systems using reduced-order models. Zbl 1303.93187Hartmann, Carsten; Latorre, Juan C.; Zhang, Wei; Pavliotis, Grigorios A. 5 2014 Effective macroscopic interfacial transport equations in strongly heterogeneous environments for general homogeneous free energies. Zbl 1320.35051Schmuck, Markus; Pavliotis, Grigorios A.; Kalliadasis, Serafim 4 2014 Mapping multiplicative to additive noise. Zbl 1291.82091Rubin, Katy J.; Pruessner, Gunnar; Pavliotis, Grigorios A. 1 2014 Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042Lelièvre, T.; Nier, F.; Pavliotis, G. A. 26 2013 Derivation of effective macroscopic Stokes-Cahn-Hilliard equations for periodic immiscible flows in porous media. Zbl 1302.76184Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 16 2013 Corrections to Einstein’s relation for Brownian motion in a tilted periodic potential. Zbl 1268.82025Latorre, J. C.; Pavliotis, G. A.; Kramer, P. R. 9 2013 Semiparametric drift and diffusion estimation for multiscale diffusions. Zbl 1411.60085Krumscheid, S.; Pavliotis, G. A.; Kalliadasis, S. 7 2013 Nonlinear interfacial dynamics in stratified multilayer channel flows. Zbl 1294.76105Papaefthymiou, E. S.; Papageorgiou, D. T.; Pavliotis, G. A. 3 2013 Exponential return to equilibrium for hypoelliptic quadratic systems. Zbl 1256.47032Ottobre, M.; Pavliotis, G. A.; Pravda-Starov, K. 20 2012 The overdamped limit of dynamic density functional theory: rigorous results. Zbl 1264.82090Goddard, B. D.; Pavliotis, G. A.; Kalliadasis, S. 9 2012 Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains. Zbl 1371.76141Schmuck, Markus; Pradas, Marc; Pavliotis, Grigorios A.; Kalliadasis, Serafim 8 2012 Additive noise effects in active nonlinear spatially extended systems. Zbl 1279.60081Pradas, M.; Pavliotis, G. A.; Kalliadasis, S.; Papageorgiou, D. T.; Tseluiko, D. 8 2012 Numerical methods for stochastic partial differential equations with multiple scales. Zbl 1429.65013Abdulle, A.; Pavliotis, G. A. 8 2012 Multiscale modelling and inverse problems. Zbl 1245.76107Nolen, James; Pavliotis, Grigorios A.; Stuart, Andrew M. 7 2012 Parameter estimation for multiscale diffusions: an overview. Zbl 1375.62022Pavliotis, Grigorios A.; Pokern, Yvo; Stuart, Andrew M. 1 2012 Asymptotic analysis for the generalized Langevin equation. Zbl 1221.82076Ottobre, M.; Pavliotis, G. A. 18 2011 Contact lines over random topographical substrates. I: Statics. Zbl 1225.76284Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 5 2011 Contact lines over random topographical substrates. II: Dynamics. Zbl 1225.76285Savva, Nikos; Pavliotis, Grigorios A.; Kalliadasis, Serafim 3 2011 Asymptotic analysis of the Green-Kubo formula. Zbl 1223.35045Pavliotis, G. A. 6 2010 Frequency domain estimation of integrated volatility for Itô processes in the presence of market-microstructure noise. Zbl 1190.62182Olhede, S. C.; Sykulski, A. M.; Pavliotis, G. A. 6 2010 Asymptotic analysis for foreign exchange derivatives with stochastic volatility. Zbl 1291.91204Cuthbertson, Charles; Pavliotis, Grigorios; Rafailidis, Avraam; Wiberg, Petter 2 2010 Some remarks on stabilization by additive noise. Zbl 1279.60076Blömker, Dirk; Hairer, Martin; Pavliotis, Grigorios A. 1 2010 Maximum likelihood drift estimation for multiscale diffusions. Zbl 1171.62047Papavasiliou, A.; Pavliotis, G. A.; Stuart, A. M. 19 2009 Calculating effective diffusivities in the limit of vanishing molecular diffusion. Zbl 1161.65007Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 6 2009 Estimating eddy diffusivities from noisy Lagrangian observations. Zbl 1183.62143Cotter, C. J.; Pavliotis, G. A. 4 2009 Multiscale methods. Averaging and homogenization. Zbl 1160.35006Pavliotis, Grigorios A.; Stuart, Andrew M. 192 2008 Optimizing the source distribution in fluid mixing. Zbl 1388.76088Thiffeault, Jean-Luc; Pavliotis, Grigorios A. 14 2008 From ballistic to diffusive behavior in periodic potentials. Zbl 1152.82015Hairer, M.; Pavliotis, G. A. 9 2008 Parameter estimation for multiscale diffusions. Zbl 1137.82016Pavliotis, G. A.; Stuart, A. M. 27 2007 Multiscale analysis for stochastic partial differential equations with quadratic nonlinearities. Zbl 1138.60004Blömker, D.; Hairer, M.; Pavliotis, G. A. 16 2007 Homogenization for inertial particles in a random flow. Zbl 1133.60338Pavliotis, G. A.; Stuart, A. M.; Zygalakis, K. C. 5 2007 Estimates for the two-dimensional Navier-Stokes equations in terms of the Reynolds number. Zbl 1144.81348Gibbon, J. D.; Pavliotis, G. A. 3 2007 Monte Carlo studies of effective diffusivities for inertial particles. Zbl 1130.76063Pavliotis, G. A.; Stuart, A. M.; Band, L. 3 2006 Modulation equations: Stochastic bifurcation in large domains. Zbl 1084.60038Blömker, D.; Hairer, M.; Pavliotis, G. A. 11 2005 Periodic homogenization for inertial particles. Zbl 1100.82023Pavliotis, G. A.; Stuart, A. M. 8 2005 Analysis of white noise limits for stochastic systems with two fast relaxation times. Zbl 1091.60006Pavliotis, G. A.; Stuart, A. M. 7 2005 A multiscale approach to Brownian motors. Zbl 1194.60057Pavliotis, G. A. 5 2005 Periodic homogenization for hypoelliptic diffusions. Zbl 1130.82026Hairer, M.; Pavliotis, G. A. 16 2004 White noise limits for inertial particles in a random field. Zbl 1038.60060Pavliotis, G. A.; Stuart, A. M. 15 2003 A perturbation-based numerical method for solving a three-dimensional axisymmetric indentation problem. Zbl 1036.74040Pavliotis, Grigorios A.; Holmes, Mark H. 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 775 Authors 31 Pavliotis, Grigorios A. 16 Kalliadasis, Serafim 12 Spiliopoulos, Konstantinos V. 11 Blömker, Dirk 9 Stuart, Andrew M. 9 Wehr, Jan 8 Carrillo de la Plata, José Antonio 8 Mohammed, Wael W. 8 Papageorgiou, Demetrios T. 8 Pravda-Starov, Karel 7 Abdulle, Assyr 7 Duncan, Andrew B. 6 Hairer, Martin 6 Ottobre, Michela 6 Roberts, Anthony John 6 Savva, Nikos 6 Stoltz, Gabriel 6 Thiffeault, Jean-Luc 5 Birrell, Jeremiah 5 Froyland, Gary 5 Gomes, Susana N. 5 Kevrekidis, Ioannis George 5 Koltai, Péter 5 Kramer, Peter R. 5 Kuske, Rachel A. 5 Lelièvre, Tony 5 Schütte, Christof 5 Sharma, Upanshu 5 Temizer, Ilker 4 Azencott, Robert 4 Bunder, J. E. 4 Doering, Charles R. 4 Duong, Manh Hong 4 Gottwald, Georg A. 4 Harlim, John 4 Hartmann, Carsten 4 Hitrik, Michael 4 Hottovy, Scott 4 Lu, Jianfeng 4 Schlichting, André 4 Schmuck, Markus 4 Timofeyev, Ilya 4 Viola, Joe 4 Wriggers, Peter 3 Barré, Julien 3 Bierkens, Joris 3 Bittracher, Andreas 3 Bo, Stefano 3 Daly, Keith R. 3 Efendiev, Yalchin R. 3 Grothaus, Martin 3 Gvalani, Rishabh S. 3 Iyer, Gautam 3 Kropat, Erik 3 Latorre, Juan Cristobal 3 Legoll, Frédéric 3 Li, Xue-Mei 3 Lim, Soon Hoe 3 Lucarini, Valerio 3 Mckinley, Scott A. 3 Novikov, Alexei 3 Nüsken, Nikolas 3 Pavliotis, Greg A. 3 Peletier, Mark Adriaan 3 Pradas, Marc 3 Roberts, Gareth O. 3 Roose, Tiina 3 Samaey, Giovanni 3 Tomlin, Ruben J. 3 Tzella, Alexandra 3 Vanneste, Jacques 3 Vilmart, Gilles 3 Volpe, Giovanni 3 Weare, Jonathan Quincy 3 Wouters, Jeroen 3 Xin, Jack X. 3 Yurk, Brian P. 3 Zhang, Wei 3 Zhang, Zhiwen 3 Zielinski, Przemyslaw 3 Zimmer, Johannes 2 Balasuriya, Sanjeeva 2 Banisch, Ralf 2 Beauchard, Karine 2 Beri, Arjun 2 Bianchi, Luigi Amedeo 2 Bostan, Mihai 2 Bréhier, Charles-Edouard 2 Brook, Bindi S. 2 Celani, Antonio 2 Cerrai, Sandra 2 Chapman, Stephen Jonathan 2 Chekroun, Mickaël D. 2 Chetrite, Raphaël 2 Choi, Young-Pil 2 Chung, Tsz Shun Eric 2 Cornalba, Federico 2 Craster, Richard V. 2 Dascaliuc, Radu 2 Dijkstra, Henk A. ...and 675 more Authors all top 5 Cited in 160 Serials 40 Journal of Statistical Physics 23 Multiscale Modeling & Simulation 22 Journal of Computational Physics 18 Journal of Fluid Mechanics 14 Physica D 10 SIAM Journal on Applied Mathematics 10 Stochastic Processes and their Applications 9 Nonlinearity 9 Journal of Nonlinear Science 8 Journal of Differential Equations 8 SIAM Journal on Mathematical Analysis 8 SIAM Journal on Applied Dynamical Systems 7 Journal of Computational and Applied Mathematics 7 European Journal of Applied Mathematics 7 Annales Henri Poincaré 7 SIAM/ASA Journal on Uncertainty Quantification 6 Communications in Mathematical Physics 6 Journal of Mathematical Physics 6 The Annals of Probability 6 Journal of Functional Analysis 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 The Annals of Applied Probability 5 Discrete and Continuous Dynamical Systems 5 Chaos 5 Research in the Mathematical Sciences 4 Advances in Applied Probability 4 Computer Methods in Applied Mechanics and Engineering 4 Bulletin of Mathematical Biology 4 SIAM Journal on Numerical Analysis 4 Probability Theory and Related Fields 4 Applied Mathematics Letters 4 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Statistical Mechanics: Theory and Experiment 4 Networks and Heterogeneous Media 4 Statistics and Computing 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Transactions of the American Mathematical Society 3 SIAM Review 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Computational Dynamics 2 International Journal of Engineering Science 2 Journal of Engineering Mathematics 2 Mathematical Biosciences 2 Applied Mathematics and Computation 2 Integral Equations and Operator Theory 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Statistics & Probability Letters 2 Applied Numerical Mathematics 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Computational Statistics and Data Analysis 2 Journal of Dynamics and Differential Equations 2 SIAM Journal on Scientific Computing 2 Calculus of Variations and Partial Differential Equations 2 Bulletin des Sciences Mathématiques 2 Finance and Stochastics 2 Computational Geosciences 2 Methodology and Computing in Applied Probability 2 The ANZIAM Journal 2 Journal of Evolution Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Communications on Pure and Applied Analysis 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Algebra, Control and Optimization 2 Journal of Theoretical Biology 1 Biological Cybernetics 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Physica A 1 Physics Reports 1 Reports on Mathematical Physics 1 Russian Mathematical Surveys 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Journal of Economic Theory 1 Journal of Statistical Planning and Inference 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Numerische Mathematik 1 Systems & Control Letters 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae ...and 60 more Serials all top 5 Cited in 37 Fields 209 Probability theory and stochastic processes (60-XX) 161 Partial differential equations (35-XX) 110 Numerical analysis (65-XX) 103 Statistical mechanics, structure of matter (82-XX) 80 Fluid mechanics (76-XX) 53 Dynamical systems and ergodic theory (37-XX) 46 Ordinary differential equations (34-XX) 43 Statistics (62-XX) 42 Biology and other natural sciences (92-XX) 28 Systems theory; control (93-XX) 25 Mechanics of deformable solids (74-XX) 22 Operator theory (47-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Geophysics (86-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Operations research, mathematical programming (90-XX) 10 Mechanics of particles and systems (70-XX) 9 Optics, electromagnetic theory (78-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Quantum theory (81-XX) 4 Approximations and expansions (41-XX) 4 Functional analysis (46-XX) 3 Integral equations (45-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) Citations by Year