Edit Profile (opens in new tab) Chorin, Alexandre Joel Co-Author Distance Author ID: chorin.alexandre-joel Published as: Chorin, Alexandre J.; Chorin, Alexandre Joel; Chorin, A. J.; Chorin, Alexandre more...less 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 1,791 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 92 Publications have been cited 3,887 times in 3,089 Documents Cited by ▼ Year ▼ Numerical solution of the Navier-Stokes equations. Zbl 0198.50103Chorin, Alexandre Joel 1,138 1968 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 653 1967 On the convergence of discrete approximations to the Navier-Stokes equations. Zbl 0184.20103Chorin, A. J. 207 1969 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 126 1979 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 113 1990 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 108 1993 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 96 1978 The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501Chorin, A. J. 92 1967 A numerical method for solving incompressible viscous flow problems. Reprint. Zbl 0899.76283Chorin, Alexandre Joel 87 1997 Vorticity and turbulence. Zbl 0795.76002Chorin, Alexandre J. 78 1994 Random choice solution of hyperbolic systems. Zbl 0354.65047Chorin, Alexandre Joel 76 1976 Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 74 2000 Optimal prediction with memory. Zbl 1017.60046Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 66 2002 The evolution of a turbulent vortex. Zbl 0494.76024Chorin, Alexandre Joel 55 1982 Vortex sheet approximation of boundary layers. Zbl 0387.76040Chorin, Alexandre Joel 55 1978 Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022Chorin, Alexandre Joel; Bernard, Peter S. 44 1973 Random choice methods with applications to reacting gas flow. Zbl 0403.65049Chorin, Alexandre Joel 40 1977 Flame advection and propagation algorithms. Zbl 0425.76086Chorin, Alexandre Joel 37 1980 A random map implementation of implicit filters. Zbl 1242.65012Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J. 33 2012 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 31 2010 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 29 2006 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 28 1982 Gaussian fields and random flow. Zbl 0285.76022Chorin, Alexandre Joel 28 1974 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 Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping 25 1982 Curvature and solidification. Zbl 0555.65085Chorin, Alexandre Joel 22 1985 Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J. 22 2017 Stochastic tools in mathematics and science. Zbl 1086.60001Chorin, Alexandre J.; Hald, Ole H. 19 2006 Optimal prediction of underresolved dynamic. Zbl 0904.65117Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 19 1998 Dimensional reduction for a Bayesian filter. Zbl 1135.93377Chorin, Alexandre J.; Krause, Paul 19 2004 Hairpin removal in vortex interactions. II. Zbl 0778.76071Chorin, Alexandre Joel 17 1993 New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035Barenblatt, G. I.; Chorin, A. J. 17 1998 Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data. Zbl 0872.76047Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 17 1997 Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 16 2000 Hairpin removal in vortex interactions. Zbl 0711.76047Chorin, Alexandre Joel 16 1990 Lectures on turbulence theory. Zbl 0353.76034Chorin, Alexandre Joel 16 1975 Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001Chorin, Alexandre J.; Hald, Ole H. 14 2009 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001Chorin, Alexandre J.; Hald, Ole H. 14 2013 Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems. Zbl 1351.62075Lu, Fei; Morzfeld, Matthias; Tu, Xuemin; Chorin, Alexandre J. 13 2015 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 13 2015 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 Equilibrium statistics of a vortex filament with applications. Zbl 0734.76015Chorin, Alexandre Joel 11 1991 A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 11 2000 Turbulence and vortex stretching on a lattice. Zbl 0595.60098Chorin, Alexandre Joel 10 1986 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. 10 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 Unresolved computation and optimal predictions. Zbl 0933.65123Chorin, Alexandre J.; Kast, Anton P.; Kupferman, Raz 10 1999 Vortex equilibria in turbulence theory and quantum analogues. Zbl 0736.76025Chorin, Alexandre Joel; Akao, James H. 10 1991 Turbulence calculations in magnetization variables. Zbl 0770.76054Buttke, Thomas F.; Chorin, Alexandre J. 9 1993 Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron 9 2000 Numerical vorticity creation based on impulse conservation. Zbl 0852.76070Summers, David M.; Chorin, Alexandre J. 9 1996 Conditional expectations and renormalization. Zbl 1064.65004Chorin, Alexandre J. 9 2003 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 Constrained random walks and vortex filaments in turbulence theory. Zbl 0708.76077Chorin, Alexandre Joel 6 1990 Sampling, feasibility, and priors in data assimilation. Zbl 1333.65007Tu, Xuemin; Morzfeld, Matthias; Miller, Robert N.; Lu, Fei; Chorin, Alexandre J. 6 2016 Numerical solution of Boltzmann’s equation. Zbl 0226.65077Chorin, A. J. 6 1972 Averaging and renormalization for the Korteveg-de Vries-Burgers equation. Zbl 1064.35165Chorin, Alexandre J. 6 2003 Vortex phase transitions in \(2\frac 12\) dimensions. Zbl 0839.76037Chorin, Alexandre J. 5 1994 Estimates of intermittency, spectra, and blow-up in developed turbulence. Zbl 0458.76042Chorin, Alexandre Joel 5 1981 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 A mathematical model for the scaling of turbulence. Zbl 1063.76043Barenblatt, Grigory Isaakovich; Chorin, Alexandre J. 5 2004 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 Prediction from partial data, renormalization, and averaging. Zbl 1101.82002Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 4 2006 Computational fluid mechanics. Selected papers. Zbl 0699.76003Chorin, Alexandre Joel 4 1989 Non-Markovian optimal prediction. Zbl 0982.65011Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 4 2001 On the prediction of large-scale dynamics using unresolved computations. Zbl 0941.65129Chorin, Alexandre; Kast, Anton P.; Kupferman, Raz 3 1999 An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290Chorin, Alexandre J.; Tu, Xuemin 3 2012 Turbulence as a near-equilibrium process. Zbl 0838.76034Chorin, Alexandre J. 3 1996 Numerical methods for use in combustion modeling. Zbl 0488.76037Chorin, Alexandre Joel 3 1980 Implicit sampling, with application to data assimilation. Zbl 1261.62084Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin 3 2013 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 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 The instability of fronts in a porous medium. Zbl 0529.76054Chorin, Alexandre Joel 2 1983 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 Estimating the uncertainty in underresolved nonlinear dynamics. Zbl 07278976Chorin, Alexandre J.; Hald, Ole H. 2 2014 On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350Arenas, Alexandre; Chorin, Alexandre J. 2 2006 Viscosity-dependent inertial spectra of the Burgers and Kortewe–de Vries–Burgers equations. Zbl 1112.35135Chorin, Alexandre J.; Hald, Ole H. 2 2005 Turbulence: An old challenge and new perspectives. Zbl 0931.76031Barenblatt, G. I.; Chorin, A. J. 2 1998 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 Numerical solution o f incompressible flow problems. Zbl 0225.76017Chorin, Alexandre Joel 2 1970 Numerical estimates of Hausdorff dimension. Zbl 0491.76052Chorin, Alexandre Joel 1 1982 Numerical methods in statistical hydrodynamics. Zbl 0362.76101Chorin, Alexandre 1 1977 Theories of turbulence. Zbl 0365.76053Chorin, Alexandre 1 1977 Random vortices and random vortex sheets. Zbl 0382.76017Chorin, Alexandre J. 1 1978 One-sided polarization and renormalization flow in the Kosterlitz-Thouless phase transition. Zbl 1050.82021Kupferman, Raz; Chorin, Alexandre J. 1 1999 Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation. Zbl 1376.35100Lu, Fei; Lin, Kevin K.; Chorin, Alexandre J. 22 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. 13 2015 Parameter estimation by implicit sampling. Zbl 1328.86002Morzfeld, Matthias; Tu, Xuemin; Wilkening, Jon; Chorin, Alexandre J. 13 2015 Estimating the uncertainty in underresolved nonlinear dynamics. Zbl 07278976Chorin, Alexandre J.; Hald, Ole H. 2 2014 Stochastic tools in mathematics and science. 3rd revised and extended ed. Zbl 1384.60001Chorin, Alexandre J.; Hald, Ole H. 14 2013 Implicit sampling, with application to data assimilation. Zbl 1261.62084Chorin, Alexandre J.; Morzfeld, Matthias; Tu, Xuemin 3 2013 A random map implementation of implicit filters. Zbl 1242.65012Morzfeld, Matthias; Tu, Xuemin; Atkins, Ethan; Chorin, Alexandre J. 33 2012 An iterative implementation of the implicit nonlinear filter. Zbl 1395.62290Chorin, Alexandre J.; Tu, Xuemin 3 2012 Implicit particle filters for data assimilation. Zbl 1229.60047Chorin, Alexandre; Morzfeld, Matthias; Tu, Xuemin 31 2010 Stochastic tools in mathematics and science. 2nd ed. Zbl 1184.60001Chorin, Alexandre J.; Hald, Ole H. 14 2009 Problem reduction, renormalization, and memory. Zbl 1108.82023Chorin, Alexandre J.; Stinis, Panagiotis 29 2006 Stochastic tools in mathematics and science. Zbl 1086.60001Chorin, Alexandre J.; Hald, Ole H. 19 2006 Prediction from partial data, renormalization, and averaging. Zbl 1101.82002Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 4 2006 On the existence and scaling of structure functions in turbulence according to the data. Zbl 1160.76350Arenas, Alexandre; Chorin, Alexandre J. 2 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. 6 2003 Optimal prediction with memory. Zbl 1017.60046Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 66 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 4 2001 Optimal prediction and the Mori-Zwanzig representation of irreversible processes. Zbl 0968.60036Chorin, Alexandre J.; Hald, Ole H.; Kupferman, Raz 74 2000 Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. Zbl 0959.76030Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 16 2000 A note on the intermediate region in turbulent boundary layers. Zbl 1184.76045Barenblatt, G. I.; Chorin, A. J.; Prostokishin, V. M. 11 2000 Optimal prediction for Hamiltonian partial differential equations. Zbl 0960.65012Chorin, Alexandre J.; Kupferman, Raz; Levy, Doron 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 19 1998 New perspectives in turbulence: Scaling laws, asymptotics, and intermittency. Zbl 0947.76035Barenblatt, G. I.; Chorin, A. J. 17 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 87 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. 17 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. 10 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 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 Analysis of Kosterlitz-Thouless transition models. Zbl 0898.76013Chorin, Alexandre J.; Hald, Ole H. 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. 9 1996 Partition functions and equilibrium measures in two-dimensional and quasi-three-dimensional turbulence. Zbl 1027.76609Chorin, Alexandre J. 5 1996 Turbulence as a near-equilibrium process. Zbl 0838.76034Chorin, Alexandre J. 3 1996 Microstructure, renormalization, and more efficient vortex methods. Zbl 0873.76036Chorin, 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. 78 1994 Vortex phase transitions in \(2\frac 12\) dimensions. Zbl 0839.76037Chorin, Alexandre J. 5 1994 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 108 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. 9 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. 113 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 6 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 55 1982 Numerical modelling of turbulent flow in a combustion tunnel. Zbl 0478.76066Ghoniem, A. F.; Chorin, A. J.; Oppenheim, A. K. 28 1982 Riemann problems for reacting gas, with applications to transition. Zbl 0502.76088Teng, Zhen-Huan; Chorin, Alexandre Joel; Liu, Tai-Ping 25 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 5 1981 Flame advection and propagation algorithms. Zbl 0425.76086Chorin, Alexandre Joel 37 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. 126 1979 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 96 1978 Vortex sheet approximation of boundary layers. Zbl 0387.76040Chorin, Alexandre Joel 55 1978 Random vortices and random vortex sheets. Zbl 0382.76017Chorin, Alexandre J. 1 1978 Random choice methods with applications to reacting gas flow. Zbl 0403.65049Chorin, Alexandre Joel 40 1977 Numerical methods in statistical hydrodynamics. Zbl 0362.76101Chorin, Alexandre 1 1977 Theories of turbulence. Zbl 0365.76053Chorin, Alexandre 1 1977 Random choice solution of hyperbolic systems. Zbl 0354.65047Chorin, Alexandre Joel 76 1976 Lectures on turbulence theory. Zbl 0353.76034Chorin, Alexandre Joel 16 1975 Gaussian fields and random flow. Zbl 0285.76022Chorin, Alexandre Joel 28 1974 Discretization of a vortex sheet with an example of roll-up. Zbl 0273.76022Chorin, Alexandre Joel; Bernard, Peter S. 44 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. 207 1969 Numerical solution of the Navier-Stokes equations. Zbl 0198.50103Chorin, Alexandre Joel 1,138 1968 A numerical method for solving incompressible viscous flow problems. Zbl 0149.44802Chorin, Alexandre Joel 653 1967 The numerical solution of the Navier-Stokes equations for an incompressible fluid. Zbl 0168.46501Chorin, A. J. 92 1967 all cited Publications top 5 cited Publications all top 5 Cited by 4,835 Authors 42 Chorin, Alexandre Joel 20 Codina, Ramon 20 Majda, Andrew J. 18 Kim, Junseok 17 Dumbser, Michael 17 Glowinski, Roland 17 Guermond, Jean-Luc 17 Oliva, Assensi 16 Nithiarasu, Perumal 16 Oñate Ibáñez de Navarra, Eugenio 16 Shen, Jie 15 Klein, Rupert 15 Xiao, Feng 14 Gibou, Frédéric 14 Trias, Francesc Xavier 13 Knio, Omar M. 12 Gorobets, Andrey V. 12 Liu, Jianguo 12 Pan, Tsorng-Whay 12 Rebholz, Leo G. 12 Stansby, Peter K. 12 Yuan, Li 11 Layton, William J. 11 Marzouk, Youssef M. 11 Si, Zhiyong 11 Xie, Bin 10 Fedkiw, Ronald P. 10 Idelsohn, Sergio Rodolfo 10 Iollo, Angelo 10 Min, Chohong 10 Najm, Habib N. 10 Peskin, Charles S. 10 Sheu, Tony Wen-Hann 10 Temam, Roger Meyer 9 An, Rong 9 E, Weinan 9 Hou, Thomas Yizhao 9 Lind, Steven J. 9 Morinishi, Koji 9 Popinet, Stéphane 9 Satofuka, Nobuyuki 9 Tanno, Itaru 9 Yang, Junxiang 8 Barenblatt, Grigory Isaakovich 8 Benson, David J. 8 Bergmann, Michel 8 Chekroun, Mickaël D. 8 Cuminato, José Alberto 8 Gotoh, Hitoshi 8 Guo, Ben-Yu 8 Hashimoto, Tomohisa 8 Ibrahimbegović, Adnan 8 Juric, Damir 8 Khayyer, Abbas 8 Kozel, Karel 8 Latché, Jean-Claude 8 Le Maître, Olivier P. 8 Malan, Arnaud George 8 Mandal, Jadav Chandra 8 Marsden, Jerrold Eldon 8 Mittal, Rajat 8 Morzfeld, Matthias 8 Oishi, Cassio M. 8 Patankar, Neelesh A. 8 Rogers, Benedict D. 8 Sethian, James A. 8 Shah, Abdullah 8 Shimizu, Yuma 8 Shin, Seungwon 8 Tavelli, Maurizio 8 Tiwari, Sudarshan 8 Witteveen, Jeroen A. S. 7 Asinari, Pietro 7 Atzberger, Paul J. 7 Balsara, Dinshaw S. 7 Bell, John B. 7 Duraisamy, Karthik 7 Feng, Xinlong 7 Flandoli, Franco 7 Ghanem, Roger G. 7 Griffith, Boyce E. 7 Hald, Ole Hansen 7 Harlim, John 7 Iliescu, Traian 7 Jin, Shi 7 Kupferman, Raz 7 Kwak, Dochan 7 Li, Xiantao 7 Li, Xikui 7 Luo, Hong 7 Manhart, Michael 7 Mao, Jia 7 Minev, Peter Dimitrov 7 Muradoglu, Metin 7 Šarler, Božidar 7 Shu, Chang 7 Stuart, Andrew M. 7 Tanaka, Yoshihiro 7 Tu, Xuemin 7 Venturi, Daniele ...and 4,735 more Authors all top 5 Cited in 327 Serials 660 Journal of Computational Physics 328 Computers and Fluids 212 Computer Methods in Applied Mechanics and Engineering 125 Journal of Fluid Mechanics 91 International Journal for Numerical Methods in Fluids 58 Physics of Fluids 55 Journal of Computational and Applied Mathematics 52 Computers & Mathematics with Applications 52 Journal of Scientific Computing 49 Physica D 43 International Journal for Numerical Methods in Engineering 41 Applied Mathematics and Computation 38 Applied Numerical Mathematics 33 Engineering Analysis with Boundary Elements 32 Applied Mathematical Modelling 32 International Journal of Computational Fluid Dynamics 28 Journal of Statistical Physics 28 SIAM Journal on Scientific Computing 28 European Journal of Mechanics. 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Zeitschrift für Angewandte Mathematik und Mechanik ...and 227 more Serials all top 5 Cited in 53 Fields 2,447 Fluid mechanics (76-XX) 1,146 Numerical analysis (65-XX) 605 Partial differential equations (35-XX) 224 Mechanics of deformable solids (74-XX) 160 Probability theory and stochastic processes (60-XX) 156 Classical thermodynamics, heat transfer (80-XX) 98 Dynamical systems and ergodic theory (37-XX) 96 Statistical mechanics, structure of matter (82-XX) 96 Biology and other natural sciences (92-XX) 80 Geophysics (86-XX) 78 Statistics (62-XX) 41 Mechanics of particles and systems (70-XX) 39 Systems theory; control (93-XX) 38 Ordinary differential equations (34-XX) 38 Computer science (68-XX) 28 Quantum theory (81-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 21 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 14 Approximations and expansions (41-XX) 14 Optics, electromagnetic theory (78-XX) 13 Differential geometry (53-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 History and biography (01-XX) 8 Integral equations (45-XX) 8 Information and communication theory, circuits (94-XX) 7 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Difference and functional equations (39-XX) 4 Relativity and gravitational theory (83-XX) 4 Astronomy and astrophysics (85-XX) 3 Algebraic geometry (14-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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