Alexandre J. Chorin
Email 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
J. Comput. Phys. 8 (1971), pp 472-482.
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
(with P. Bernard) J. Comput. Phys. 13 (1973), pp. 423-429.
Accurate evaluation of Wiener integrals Math. Comp. 27 (1973), pp. 1-15.
Random choice solution of hyperbolic systems
J. Comput. Phys. 22 (1976), pp. 517-533.
Vortex sheet approximation of boundary layers
J. Comput. Phys. 27 (1978), pp. 428-442.
Product formulas and numerical algorithms
(with T.J.R. Hughes, M. McCracken and J. Marsden) Comm. Pure App. Math. 31 (1978), pp. 205-256.
A Mathematical Introduction to Fluid Mechanics (with J. Marsden) Springer 1979.
Flame advection and propagation algorithms
J. Comput. Phys. 35 (1980), pp. 1-11.
Vortex models and boundary layer instability SIAM J. Sc. Stat. Comp. 1 (1980), pp. 1-24.
Numerical modelling of turbulent flow in a combustion
tunnel (with A.F. Ghoniem and A.K. Oppenheim) Phil. Trans. R. Soc. Lond. A 304
(1982), pp. 303-325.
Scaling laws in the vortex lattice model of turbulence
Comm. Math. Phys. 114 (1988), pp. 167-176.
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.
for fully developed turbulent flow in pipes (with G. I. Barenblatt and V. M. Prostokishin) Appl. Mech. Rev. 50 (1997)
New perspectives in turbulence: scaling laws, asymptotics and intermittency (with G.I. Barenblatt) SIAM Rev. 40, pp.265-291 (1998).
Optimal prediction and the Mori-Zwanzig representation of irreversible processes (with O. H. Hald and R. Kupferman) Proc. Nat. Acad. Sci. USA, 97 (2000), pp. 2968-2973.
Optimal prediction with memory (with O. H. Hald and R. Kupferman) Physica D 166 (2002), pp. 239-257.
Conditional expectations and renormalization Multiscale Modeling and Simulation 1 (2003) pp. 105-118.
Averaging and renormalization for the Korteveg-deVries-Burgers equation Proc.Nat. Acad. Sci. USA 100 (2003), pp. 9674-9679.
A mathematical model for the scaling of turbulence (with G.I. Barenblatt) Proc. Nat. Acad. Sc. USA 101 (2004), pp. 15023-15026.
Problem reduction, renormalization, and memory (with P. Stinis) Comm. Appl. Math. Comp. Sc. 1 (2005), pp. 1-27.
Stochastic Tools in Mathematics and Science (with O. H. Hald) Springer 2005.
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)
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.
A discrete approach to stochastic parametrization and dimensional reduction in nonlinear dynamics (with F. Lu)