Edit Profile (opens in new tab) Chorin, Alexandre Joel Compute Distance To: Compute Author ID: chorin.alexandre-joel Published as: Chorin, Alexandre J.; Chorin, Alexandre Joel; Chorin, A. J.; Chorin, Alexandre External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 112 Publications since 1967, including 10 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 47 Co-Authors with 58 Joint Publications 1,725 Co-Co-Authors all top 5 Co-Authors 56 single-authored 16 Barenblatt, Grigory Isaakovich 11 Hald, Ole Hansen 9 Kupferman, Raz 8 Tu, Xuemin 7 Morzfeld, Matthias 7 Prostokishin, Valeriy M. 4 Kast, Anton P. 4 Marsden, Jerrold Eldon 3 Lu, Fei 2 Summers, David M. 1 Akao, James H. 1 Arenas, Alexandre 1 Atkins, Ethan 1 Bernard, Peter S. 1 Bertsch, Michiel 1 Bloch, Anthony Michael 1 Buttke, Thomas Frederick 1 Cendra, Hernán 1 Dellnitz, Michael 1 Desbrun, Mathieu 1 Ghoniem, Ahmed F. 1 Goldenfeld, Nigel 1 Golubitsky, Martin A. 1 Gotay, Mark J. 1 Hughes, Thomas J. R. 1 Isenberg, Jim 1 Keyfitz, Barbara Lee 1 Krause, Paul J. 1 Krishnaprasad, P.s. 1 Levy, Doron 1 Lin, Kevin K. 1 Liu, Tai-Ping 1 Majda, Andrew J. 1 Marsden, Alison L. 1 McCracken, Marjorie F. 1 Miller, Robert N. 1 Montgomery, Richard 1 Oppenheim, Antoni Kazimierz 1 Ortiz, Michael 1 Ratiu, Tudor Stefan 1 Rauch, Jeffrey B. 1 Raugel, Geneviève 1 Scheurle, Jürgen 1 Stinis, Panagiotis 1 Teng, Zhen-Huan 1 Vazquez, Juan Luis 1 Weinstein, Alan David 1 Wilkening, Jon A. 1 Yoshimura, Hiroaki all top 5 Serials 16 Journal of Computational Physics 14 Proceedings of the National Academy of Sciences of the United States of America 6 Communications on Pure and Applied Mathematics 5 Communications in Mathematical Physics 5 Physica D 4 Mathematics of Computation 4 Communications in Applied Mathematics and Computational Science 3 Physics of Fluids 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Texts in Applied Mathematics 2 Journal of Fluid Mechanics 2 Journal of Statistical Physics 2 SIAM Journal on Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Surveys and Tutorials in the Applied Mathematical Sciences 1 Meccanica 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Quarterly of Applied Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Journal of Scientific Computing 1 SIAM Review 1 Notices of the American Mathematical Society 1 Monte Carlo Methods and Applications 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 European Mathematical Society Newsletter 1 Mathematics and Mechanics of Solids 1 RIMS Kokyuroku 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Bulletin of the American Mathematical Society 1 Applied Mathematical Sciences 1 Mathematics Lecture Series 1 Mathematical Sciences Research Institute Publications 1 Universitext all top 5 Fields 76 Fluid mechanics (76-XX) 31 Numerical analysis (65-XX) 19 Partial differential equations (35-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Probability theory and stochastic processes (60-XX) 12 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Systems theory; control (93-XX) 2 Geophysics (86-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 3,525 times in 2,798 Documents Cited by ▼ Year ▼ Numerical solution of the Navier-Stokes equations. Zbl 0198.50103Chorin, Alexandre Joel 1,015 1968 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 604 1967 On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103Chorin, A. J. 189 1969 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 121 1979 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 96 1990 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 89 1978 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 86 1993 The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501Chorin, A. J. 82 1967 Random choice solution of hyperbolic systems. Zbl 0354.65047Chorin, Alexandre Joel 74 1976 A numerical method for solving incompressible viscous flow problems. Reprint. Zbl 0899.76283Chorin, Alexandre Joel 73 1997 Vorticity and turbulence. Zbl 0795.76002Chorin, Alexandre J. 71 1994 Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 68 2000 Optimal prediction with memory. Zbl 1017.60046Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 56 2002 The evolution of a turbulent vortex. Zbl 0494.76024Chorin, Alexandre Joel 54 1982 Vortex sheet approximation of boundary layers. Zbl 0387.76040Chorin, Alexandre Joel 52 1978 Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022Chorin, Alexandre Joel; Bernard, Peter S. 40 1973 Random choice methods with applications to reacting gas flow. Zbl 0403.65049Chorin, Alexandre Joel 37 1977 Flame advection and propagation algorithms. Zbl 0425.76086Chorin, Alexandre Joel 36 1980 A random map implementation of implicit filters. Zbl 1242.65012Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J. 29 2012 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 27 1982 Hermite expansions in Monte-Carlo computation. Zbl 0229.65025Chorin, Alexandre Joel 27 1971 Vortex models and boundary layer instability. Zbl 0451.76034Chorin, Alexandre Joel 26 1980 Gaussian fields and random flow. Zbl 0285.76022Chorin, Alexandre Joel 26 1974 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 25 2010 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 24 2006 Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping 24 1982 Curvature and solidification. Zbl 0555.65085Chorin, Alexandre Joel 22 1985 Dimensional reduction for a Bayesian filter. Zbl 1135.93377Chorin, Alexandre J.; Krause, Paul 19 2004 Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J. 18 2017 Stochastic tools in mathematics and science. Zbl 1086.60001Chorin, Alexandre J.; Hald, Ole H. 18 2006 Optimal prediction of underresolved dynamic. Zbl 0904.65117Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 17 1998 Hairpin removal in vortex interactions. II. Zbl 0778.76071Chorin, Alexandre Joel 17 1993 Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 16 1997 New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035Barenblatt, G. I.; Chorin, A. J. 16 1998 Hairpin removal in vortex interactions. Zbl 0711.76047Chorin, Alexandre Joel 16 1990 Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 15 2000 Lectures on turbulence theory. Zbl 0353.76034Chorin, Alexandre Joel 15 1975 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001Chorin, Alexandre J.; Hald, Ole H. 13 2013 Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026Barenblatt, G. I.; Chorin, Alexandre J. 12 1996 Scaling laws in the vortex lattice model of turbulence. Zbl 0638.76072Chorin, Alexandre Joel 12 1988 Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems. Zbl 1351.62075Lu, Fei; Morzfeld, Matthias; Tu, Xuemin; Chorin, Alexandre J. 12 2015 Equilibrium statistics of a vortex filament with applications. Zbl 0734.76015Chorin, Alexandre Joel 11 1991 Vortex equilibria in turbulence theory and quantum analogues. Zbl 0736.76025Chorin, Alexandre Joel; Akao, James H. 10 1991 Unresolved computation and optimal predictions. Zbl 0933.65123Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 10 1999 Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M. 10 1997 Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001Chorin, Alexandre J.; Hald, Ole H. 10 2009 Turbulence and vortex stretching on a lattice. Zbl 0595.60098Chorin, Alexandre Joel 10 1986 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 10 2015 Conditional expectations and renormalization. Zbl 1064.65004Chorin, Alexandre J. 9 2003 Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron 9 2000 Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035Barenblatt, G. I.; Chorin, Alexandre J. 9 1997 A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 9 2000 Turbulence calculations in magnetization variables. Zbl 0770.76054Buttke, Thomas F.; Chorin, Alexandre J. 8 1993 Numerical vorticity creation based on impulse conservation. Zbl 0852.76070Summers, David M.; Chorin, Alexandre J. 8 1996 Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655Barenblatt, G. I.; Chorin, Alexandre J. 8 1998 Accurate evaluation of Wiener integrals. Zbl 0256.65013Chorin, Alexandre Joel 7 1973 Numerical solution of Boltzmann’s equation. Zbl 0226.65077Chorin, A. J. 6 1972 Sampling, feasibility, and priors in data assimilation. Zbl 1333.65007Tu, Xuemin; Morzfeld, Matthias; Miller, Robert N.; Lu, Fei; Chorin, Alexandre J. 6 2016 A mathematical model for the scaling of turbulence. Zbl 1063.76043Barenblatt, Grigory Isaakovich; Chorin, Alexandre J. 5 2004 Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 5 1999 Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence. Zbl 1027.76609Chorin, Alexandre J. 5 1996 Computational fluid mechanics. Selected papers. Zbl 0699.76003Chorin, Alexandre Joel 4 1989 Averaging and renormalization for the Korteveg-de Vries-Burgers equation. Zbl 1064.35165Chorin, Alexandre J. 4 2003 Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 4 2000 Vortex phase transitions in \(2\frac 12\) dimensions. Zbl 0839.76037Chorin, Alexandre J. 4 1994 Estimates of intermittency, spectra, and blow-up in developed turbulence. Zbl 0458.76042Chorin, Alexandre Joel 4 1981 Constrained random walks and vortex filaments in turbulence theory. Zbl 0708.76077Chorin, Alexandre Joel 4 1990 Statistical mechanics and vortex motion. Zbl 0751.76037Chorin, Alexandre Joel 3 1991 Microstructure, renormalization, and more efficient vortex methods. Zbl 0873.76036Chorin, Alexandre J. 3 1996 On the prediction of large-scale dynamics using unresolved computations. Zbl 0941.65129Chorin, Alexandre; Kast, Anton P.; Kupferman, Raz 3 1999 Non-Markovian optimal prediction. Zbl 0982.65011Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 3 2001 A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 3 2002 Turbulence as a near-equilibrium process. Zbl 0838.76034Chorin, Alexandre J. 3 1996 Prediction from partial data, renormalization, and averaging. Zbl 1101.82002Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 3 2006 Numerical methods for use in combustion modeling. Zbl 0488.76037Chorin, Alexandre Joel 3 1980 Analysis of Kosterlitz-Thouless transition models. Zbl 0898.76013Chorin, Alexandre J.; Hald, Ole H. 2 1997 Hybrid vortex/magnet methods for flow over a solid boundary. Zbl 0873.76066Summers, David M.; Chorin, Alexandre J. 2 1996 Turbulence: An old challenge and new perspectives. Zbl 0931.76031Barenblatt, G. I.; Chorin, A. J. 2 1998 The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091Barenblatt, G. I.; Chorin, A. J.; Kast, A. 2 1997 A vortex model with superfluid and turbulent percolation. Zbl 0925.82215Chorin, Alexandre Joel 2 1992 Viscosity-dependent inertial spectra of the Burgers and Kortewe–de Vries–Burgers equations. Zbl 1112.35135Chorin, Alexandre J.; Hald, Ole H. 2 2005 The instability of fronts in a porous medium. Zbl 0529.76054Chorin, Alexandre Joel 2 1983 Numerical solution o f incompressible flow problems. Zbl 0225.76017Chorin, Alexandre Joel 2 1970 Implicit sampling, with application to data assimilation. Zbl 1261.62084Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin 2 2013 One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition. Zbl 1050.82021Kupferman, Raz; Chorin, Alexandre J. 1 1999 On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350Arenas, Alexandre; Chorin, Alexandre J. 1 2006 Numerical estimates of Hausdorff dimension. Zbl 0491.76052Chorin, Alexandre Joel 1 1982 Numerical methods in statistical hydrodynamics. Zbl 0362.76101Chorin, Alexandre 1 1977 An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290Chorin, Alexandre J.; Tu, Xuemin 1 2012 Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J. 18 2017 Sampling, feasibility, and priors in data assimilation. Zbl 1333.65007Tu, Xuemin; Morzfeld, Matthias; Miller, Robert N.; Lu, Fei; Chorin, Alexandre J. 6 2016 Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems. Zbl 1351.62075Lu, Fei; Morzfeld, Matthias; Tu, Xuemin; Chorin, Alexandre J. 12 2015 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 10 2015 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001Chorin, Alexandre J.; Hald, Ole H. 13 2013 Implicit sampling, with application to data assimilation. Zbl 1261.62084Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin 2 2013 A random map implementation of implicit filters. Zbl 1242.65012Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J. 29 2012 An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290Chorin, Alexandre J.; Tu, Xuemin 1 2012 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 25 2010 Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001Chorin, Alexandre J.; Hald, Ole H. 10 2009 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 24 2006 Stochastic tools in mathematics and science. Zbl 1086.60001Chorin, Alexandre J.; Hald, Ole H. 18 2006 Prediction from partial data, renormalization, and averaging. Zbl 1101.82002Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 3 2006 On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350Arenas, Alexandre; Chorin, Alexandre J. 1 2006 Viscosity-dependent inertial spectra of the Burgers and Kortewe–de Vries–Burgers equations. Zbl 1112.35135Chorin, Alexandre J.; Hald, Ole H. 2 2005 Dimensional reduction for a Bayesian filter. Zbl 1135.93377Chorin, Alexandre J.; Krause, Paul 19 2004 A mathematical model for the scaling of turbulence. Zbl 1063.76043Barenblatt, Grigory Isaakovich; Chorin, Alexandre J. 5 2004 Conditional expectations and renormalization. Zbl 1064.65004Chorin, Alexandre J. 9 2003 Averaging and renormalization for the Korteveg-de Vries-Burgers equation. Zbl 1064.35165Chorin, Alexandre J. 4 2003 Optimal prediction with memory. Zbl 1017.60046Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 56 2002 A model of a turbulent boundary layer with a nonzero pressure gradient. Zbl 1030.76022Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 3 2002 Non-Markovian optimal prediction. Zbl 0982.65011Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 3 2001 Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 68 2000 Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 15 2000 Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron 9 2000 A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 9 2000 Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow. Zbl 0977.76036Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 4 2000 Unresolved computation and optimal predictions. Zbl 0933.65123Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 10 1999 Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. Zbl 0973.76561Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 5 1999 On the prediction of large-scale dynamics using unresolved computations. Zbl 0941.65129Chorin, Alexandre; Kast, Anton P.; Kupferman, Raz 3 1999 One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition. Zbl 1050.82021Kupferman, Raz; Chorin, Alexandre J. 1 1999 Optimal prediction of underresolved dynamic. Zbl 0904.65117Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 17 1998 New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035Barenblatt, G. I.; Chorin, A. J. 16 1998 Scaling of the intermediate region in wall-bounded turbulence: the power law. Comment on: “Log laws or power laws: the scaling in the overlap region” [Phys. Fluid 9 (1997), no. 7, 2094–2100] by M. V. Zagarola, A. E. Perry and A. J. Smits. Zbl 1185.76655Barenblatt, G. I.; Chorin, Alexandre J. 8 1998 Turbulence: An old challenge and new perspectives. Zbl 0931.76031Barenblatt, G. I.; Chorin, A. J. 2 1998 A numerical method for solving incompressible viscous flow problems. Reprint. Zbl 0899.76283Chorin, Alexandre Joel 73 1997 Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 16 1997 Structure of the zero-pressure-gradient turbulent boundary layer. Zbl 0899.76231Barenblatt, G. I.; Chorin, A. J.; Hald, O. H.; Prostokishin, V. M. 10 1997 Scaling laws and vanishing-viscosity limits for wall-bounded shear flows and for local structure in developed turbulence. Zbl 0866.76035Barenblatt, G. I.; Chorin, Alexandre J. 9 1997 Analysis of Kosterlitz-Thouless transition models. Zbl 0898.76013Chorin, Alexandre J.; Hald, Ole H. 2 1997 The influence of the flow of the reacting gas on the conditions for a thermal explosion. Zbl 0945.76091Barenblatt, G. I.; Chorin, A. J.; Kast, A. 2 1997 Small viscosity asymptotics for the inertial range of local structure and for the wall region of wall-bounded turbulent shear flow. Zbl 0856.76026Barenblatt, G. I.; Chorin, Alexandre J. 12 1996 Numerical vorticity creation based on impulse conservation. Zbl 0852.76070Summers, David M.; Chorin, Alexandre J. 8 1996 Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence. Zbl 1027.76609Chorin, Alexandre J. 5 1996 Microstructure, renormalization, and more efficient vortex methods. Zbl 0873.76036Chorin, Alexandre J. 3 1996 Turbulence as a near-equilibrium process. Zbl 0838.76034Chorin, Alexandre J. 3 1996 Hybrid vortex/magnet methods for flow over a solid boundary. Zbl 0873.76066Summers, David M.; Chorin, Alexandre J. 2 1996 Vorticity and turbulence. Zbl 0795.76002Chorin, Alexandre J. 71 1994 Vortex phase transitions in \(2\frac 12\) dimensions. Zbl 0839.76037Chorin, Alexandre J. 4 1994 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 86 1993 Hairpin removal in vortex interactions. II. Zbl 0778.76071Chorin, Alexandre Joel 17 1993 Turbulence calculations in magnetization variables. Zbl 0770.76054Buttke, Thomas F.; Chorin, Alexandre J. 8 1993 A vortex model with superfluid and turbulent percolation. Zbl 0925.82215Chorin, Alexandre Joel 2 1992 Equilibrium statistics of a vortex filament with applications. Zbl 0734.76015Chorin, Alexandre Joel 11 1991 Vortex equilibria in turbulence theory and quantum analogues. Zbl 0736.76025Chorin, Alexandre Joel; Akao, James H. 10 1991 Statistical mechanics and vortex motion. Zbl 0751.76037Chorin, Alexandre Joel 3 1991 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 96 1990 Hairpin removal in vortex interactions. Zbl 0711.76047Chorin, Alexandre Joel 16 1990 Constrained random walks and vortex filaments in turbulence theory. Zbl 0708.76077Chorin, Alexandre Joel 4 1990 Computational fluid mechanics. Selected papers. Zbl 0699.76003Chorin, Alexandre Joel 4 1989 Scaling laws in the vortex lattice model of turbulence. Zbl 0638.76072Chorin, Alexandre Joel 12 1988 Turbulence and vortex stretching on a lattice. Zbl 0595.60098Chorin, Alexandre Joel 10 1986 Curvature and solidification. Zbl 0555.65085Chorin, Alexandre Joel 22 1985 The instability of fronts in a porous medium. Zbl 0529.76054Chorin, Alexandre Joel 2 1983 The evolution of a turbulent vortex. Zbl 0494.76024Chorin, Alexandre Joel 54 1982 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 27 1982 Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping 24 1982 Numerical estimates of Hausdorff dimension. Zbl 0491.76052Chorin, Alexandre Joel 1 1982 Estimates of intermittency, spectra, and blow-up in developed turbulence. Zbl 0458.76042Chorin, Alexandre Joel 4 1981 Flame advection and propagation algorithms. Zbl 0425.76086Chorin, Alexandre Joel 36 1980 Vortex models and boundary layer instability. Zbl 0451.76034Chorin, Alexandre Joel 26 1980 Numerical methods for use in combustion modeling. Zbl 0488.76037Chorin, Alexandre Joel 3 1980 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 121 1979 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 89 1978 Vortex sheet approximation of boundary layers. Zbl 0387.76040Chorin, Alexandre Joel 52 1978 Random choice methods with applications to reacting gas flow. Zbl 0403.65049Chorin, Alexandre Joel 37 1977 Numerical methods in statistical hydrodynamics. Zbl 0362.76101Chorin, Alexandre 1 1977 Random choice solution of hyperbolic systems. Zbl 0354.65047Chorin, Alexandre Joel 74 1976 Lectures on turbulence theory. Zbl 0353.76034Chorin, Alexandre Joel 15 1975 Gaussian fields and random flow. Zbl 0285.76022Chorin, Alexandre Joel 26 1974 Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022Chorin, Alexandre Joel; Bernard, Peter S. 40 1973 Accurate evaluation of Wiener integrals. Zbl 0256.65013Chorin, Alexandre Joel 7 1973 Numerical solution of Boltzmann’s equation. Zbl 0226.65077Chorin, A. J. 6 1972 Hermite expansions in Monte-Carlo computation. Zbl 0229.65025Chorin, Alexandre Joel 27 1971 Numerical solution o f incompressible flow problems. Zbl 0225.76017Chorin, Alexandre Joel 2 1970 On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103Chorin, A. J. 189 1969 Numerical solution of the Navier-Stokes equations. Zbl 0198.50103Chorin, Alexandre Joel 1,015 1968 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 604 1967 The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501Chorin, A. J. 82 1967 all cited Publications top 5 cited Publications all top 5 Cited by 4,385 Authors 40 Chorin, Alexandre Joel 20 Majda, Andrew J. 18 Codina, Ramon 17 Oliva, Assensi 16 Guermond, Jean-Luc 16 Kim, Junseok 16 Nithiarasu, Perumal 15 Dumbser, Michael 15 Glowinski, Roland 15 Oñate Ibáñez de Navarra, Eugenio 15 Shen, Jie 15 Trias, Francesc Xavier 14 Xiao, Feng 13 Klein, Rupert 12 Gibou, Frédéric 12 Gorobets, Andrey V. 12 Knio, Omar M. 12 Liu, Jianguo 12 Pan, Tsorng-Whay 12 Rebholz, Leo G. 11 Layton, William J. 11 Yuan, Li 10 Fedkiw, Ronald P. 10 Idelsohn, Sergio Rodolfo 10 Marzouk, Youssef M. 10 Peskin, Charles S. 10 Sheu, Tony Wen-Hann 10 Si, Zhiyong 10 Stansby, Peter K. 10 Temam, Roger Meyer 9 Juric, Damir 9 Min, Chohong 9 Najm, Habib N. 9 Shin, Seungwon 9 Xie, Bin 8 An, Rong 8 Barenblatt, Grigory Isaakovich 8 Benson, David J. 8 Cuminato, José Alberto 8 E, Weinan 8 Guo, Ben-Yu 8 Hou, Thomas Yizhao 8 Ibrahimbegović, Adnan 8 Kozel, Karel 8 Le Maître, Olivier P. 8 Marsden, Jerrold Eldon 8 Mittal, Rajat 8 Morzfeld, Matthias 8 Oishi, Cassio M. 8 Sethian, James A. 8 Zhao, Yong 7 Asinari, Pietro 7 Atzberger, Paul J. 7 Balsara, Dinshaw S. 7 Chekroun, Mickaël D. 7 Duraisamy, Karthik 7 Ghanem, Roger G. 7 Griffith, Boyce E. 7 Hald, Ole Hansen 7 Iollo, Angelo 7 Jin, Shi 7 Kupferman, Raz 7 Kwak, Dochan 7 Li, Xiantao 7 Li, Xikui 7 Lind, Steven J. 7 Malan, Arnaud George 7 Minev, Peter Dimitrov 7 Morinishi, Koji 7 Muradoglu, Metin 7 Patankar, Neelesh A. 7 Popinet, Stéphane 7 Šarler, Božidar 7 Satofuka, Nobuyuki 7 Tanno, Itaru 7 Tiwari, Sudarshan 7 Venturi, Daniele 7 Yang, Junxiang 6 Badia, Santiago 6 Bell, John B. 6 Bergmann, Michel 6 Colella, Phillip 6 Constantin, Peter 6 Flandoli, Franco 6 Ghoniem, Ahmed F. 6 Gresho, Philip M. 6 Griebel, Michael 6 Harlim, John 6 Hashimoto, Tomohisa 6 He, Tao 6 Hejranfar, Kazem 6 Kiris, Cetin C. 6 Klar, Axel 6 Li, Jian 6 Liu, Gui-Rong 6 Luo, Hong 6 McKee, Sean 6 Minion, Michael L. 6 Oberlack, Martin 6 Olshanskii, Maxim A. ...and 4,285 more Authors all top 5 Cited in 307 Serials 587 Journal of Computational Physics 303 Computers and Fluids 194 Computer Methods in Applied Mechanics and Engineering 120 Journal of Fluid Mechanics 91 International Journal for Numerical Methods in Fluids 58 Physics of Fluids 52 Journal of Computational and Applied Mathematics 45 Journal of Scientific Computing 44 Computers & Mathematics with Applications 44 Physica D 43 International Journal for Numerical Methods in Engineering 36 Applied Mathematics and Computation 35 Applied Numerical Mathematics 33 Engineering Analysis with Boundary Elements 31 International Journal of Computational Fluid Dynamics 29 Applied Mathematical Modelling 27 Journal of Statistical Physics 23 Communications in Mathematical Physics 23 International Journal of Numerical Methods for Heat & Fluid Flow 23 European Journal of Mechanics. 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Real World Applications 10 Mathematical and Computer Modelling 10 Journal of Mathematical Fluid Mechanics 10 International Journal of Computational Methods 9 International Journal of Heat and Mass Transfer 9 Journal of Engineering Mathematics 8 Archive for Rational Mechanics and Analysis 8 Mathematical Problems in Engineering 8 Communications in Nonlinear Science and Numerical Simulation 8 Discrete and Continuous Dynamical Systems. Series S 8 International Journal for Numerical Methods in Biomedical Engineering 7 Mathematical Methods in the Applied Sciences 7 SIAM Journal on Numerical Analysis 7 Advances in Computational Mathematics 7 Archives of Computational Methods in Engineering 7 Discrete and Continuous Dynamical Systems. Series B 7 Multiscale Modeling & Simulation 7 SIAM/ASA Journal on Uncertainty Quantification 6 Computer Physics Communications 6 Meccanica 6 Transactions of the American Mathematical Society 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Journal of Non-Newtonian Fluid Mechanics 6 Journal of Nonlinear Science 6 Discrete and Continuous Dynamical Systems 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Acta Mechanica Sinica 5 Physics Letters. A 5 Journal of Functional Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Applied Mathematics and Mechanics. (English Edition) 5 Chinese Annals of Mathematics. Series B 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Numerical Methods for Partial Differential Equations 5 The Annals of Applied Probability 5 Applications of Mathematics 5 International Journal of Computer Mathematics 5 Journal of Dynamics and Differential Equations 5 Applied and Computational Harmonic Analysis 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Journal of Turbulence 5 Sādhanā 5 SIAM Journal on Applied Dynamical Systems 5 Advances in Applied Mathematics and Mechanics 4 Nonlinearity 4 Bulletin of Mathematical Biology 4 Shock Waves 4 The Annals of Probability 4 Studies in Applied Mathematics 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Numerical Algorithms 4 SIAM Journal on Mathematical Analysis 4 Stochastic Processes and their Applications 4 Continuum Mechanics and Thermodynamics 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Chaos 4 Acta Numerica 4 Journal of Theoretical Biology 4 SN Partial Differential Equations and Applications 3 International Journal of Modern Physics B 3 Applicable Analysis 3 Journal of Mathematical Biology 3 Physica A ...and 207 more Serials all top 5 Cited in 50 Fields 2,229 Fluid mechanics (76-XX) 1,001 Numerical analysis (65-XX) 531 Partial differential equations (35-XX) 195 Mechanics of deformable solids (74-XX) 145 Probability theory and stochastic processes (60-XX) 144 Classical thermodynamics, heat transfer (80-XX) 92 Biology and other natural sciences (92-XX) 85 Statistical mechanics, structure of matter (82-XX) 84 Dynamical systems and ergodic theory (37-XX) 71 Geophysics (86-XX) 70 Statistics (62-XX) 39 Mechanics of particles and systems (70-XX) 32 Ordinary differential equations (34-XX) 32 Systems theory; control (93-XX) 29 Computer science (68-XX) 21 Quantum theory (81-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 18 Operator theory (47-XX) 15 Global analysis, analysis on manifolds (58-XX) 12 Optics, electromagnetic theory (78-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 History and biography (01-XX) 10 Approximations and expansions (41-XX) 10 Differential geometry (53-XX) 7 Integral equations (45-XX) 7 Information and communication theory, circuits (94-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Functional analysis (46-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 4 Difference and functional equations (39-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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