Alexandre J. ChorinEmail address: chorin_at_math.berkeley.edu |
A numerical method for solving incompressible viscous flow problems J.
Comput. Phys. 2 (1967), pp. 12-26.
Numerical solution of the Navier-Stokes equations
Math. Comp. 22 (1968) pp. 745-762.
On the convergence of discrete approximations to the
Navier-Stokes equations Math. Comp. 23 (1969), pp. 341-353.
Hermite expansions in Monte Carlo computation
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Numerical study of slightly viscous flow
J. Fluid Mech. 57 (1973), pp. 785-796.
Discretization of a vortex sheet, with an example of roll-up
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Accurate evaluation of Wiener integrals Math. Comp. 27 (1973), pp. 1-15.
Random choice solution of hyperbolic systems
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Vortex sheet approximation of boundary layers
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Product formulas and numerical algorithms
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A Mathematical Introduction to Fluid Mechanics (with J. Marsden) Springer 1979.
Flame advection and propagation algorithms
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Vortex models and boundary layer instability SIAM J. Sc. Stat. Comp. 1 (1980), pp. 1-24.
Numerical modelling of turbulent flow in a combustion
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Scaling laws in the vortex lattice model of turbulence
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Spectrum, dimension, and polymer analogies in fluid turbulence Phys. Rev. Lett. 60 (1988), pp. 1947-1949.
Hairpin removal in vortex interactions II J. Comp. Phys. 107 (1993), pp. 1-9.
Vorticity and Turbulence Springer 1994.
Scaling laws
for fully developed turbulent flow in pipes (with G. I. Barenblatt and V. M. Prostokishin) Appl. Mech. Rev. 50 (1997)
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New
perspectives in turbulence: scaling laws, asymptotics and
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Optimal prediction and the Mori-Zwanzig representation
of irreversible processes
(with O. H. Hald and R. Kupferman) Proc. Nat. Acad. Sci. USA, 97
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Optimal prediction with memory
(with O. H. Hald and R. Kupferman) Physica D 166 (2002), pp. 239-257.
Averaging and renormalization for the Korteveg-deVries-Burgers equation Proc. Nat. Acad. Sci. USA 100 (2003), pp. 9674-9679.
Conditional expectations and renormalization
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A mathematical model for the scaling of turbulence
(with G.I. Barenblatt) Proc. Nat. Acad. Sc. USA
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Stochastic
Tools in Mathematics and Science (with O. H. Hald)
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Monte Carlo without chains Comm. Appl. Math. Comp. Sc. 3
(2008), pp. 77-93.
Implicit sampling for particle filters (with X. Tu) Proc. Nat. Acad. Sc. USA 106 (2009), pp. 17249-17254.
Implicit filters for data assimilation
(with M. Morzfeld and X. Tu) Comm. Appl. Math. Comp. Sc. 5 (2010), pp. 221-240.
A random map implementation of implicit filters
(with M. Morzfeld, X. Tu, and E. Atkins) J. Comput. Phys. 231 (2012), pp. 2049-2066.
Implicit particle filtering for models with partial
noise, and an application to geomagnetic data assimilation (with M. Morzfeld) Nonlin. Processes Geophys. 19 (2012), pp. 365-382.
Implicit particle methods and their connection with variational data assimilation (with E. Atkins and M. Morzfeld) Monthly Weather Rev. 141 (2013), pp. 1786-1803.
Conditions for successful data assimilation (with M. Morzfeld) J. Geophys. Res.:Atmospheres 118 (2013), pp. 11522-11533.
Estimating the uncertainty in underresolved nonlinear dynamics (with O. H. Hald) Math. Mech. Solids 19 (2014), pp. 28-38.
Parameter estimation by implicit sampling (with M. Morzfeld, X. Tu, and J. Wilkening) Comm. Appl. Math. Comp. Sc. 10 (2015), pp. 205-225.
Limitations of polynomial chaos expansions in the Bayesian solution of inverse problems (with F. Lu, M. Morzfeld, and X. Tu) J. Comput. Phys. 282 (2015), pp. 138-147.
Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics (with F. Lu) Proc. Nat. Acad. Sc. USA 112 (2015), pp. 9804-9809.
Sampling, feasibility, and priors in data assimilation (with F. Lu, R. Miller, M. Morzfeld, and X. Tu) Disc. Cont. Dyn. Syst. 36 (2016), pp. 4227-4246.
Data-based stochastic model reduction for the Kuramoto-Sivashinski equation (with F. Lu and K. Lin)
Comparison of continuous and discrete-time data-based modeling for hypoelliptic systems (with F. Lu and K. Lin)