Publications

Recent Developments in the pure streamfunction formulation of the Navier-Stokes system
(with M. Ben-Artzi and J.-P. Croisille)
J. Scientific Computing, Vol. 45, Issue 1 (2010), pp 238-258.

Highly Accurate Discretization of the Navier-Stokes Equations in Streamfunction Formulation
(with M. Ben-Artzi and J.-P. Croisille)
in "Spectral and High Order Methods for Partial Differential Equations",
Eds. Jan S. Hesthaven and Einar M. Ronquist,
Lecture Notes in Computational Science and Engineering, 2011, Vol. 76, pp. 189-197, Springer, 2010.

A High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations
(with M. Ben-Artzi and J.-P. Croisille)
J. Scientific Computing, Vol. 42, Issue 2. pp. 216--250, 2010.

A compact difference scheme for the biharmonic equation in planar irregular domains
(with M. Ben-Artzi, I. Chorev and J.-P. Croisille)
SIAM J. Numerical Analysis, Vol. 47, Issue 4, pp. 3087-3108 (2009).

A fast direct solver for the biharmonic problem in rectangular grid
(with M. Ben-Artzi and J.-P. Croisille)
SIAM J. Scientific computing, Vol. 31, Issue 1, pp. 303-333, 2008.

Convergence of a compact scheme for the pure streamfunction formulation of the unsteady Navier-Stokes system
(with M. Ben-Artzi and J.-P. Croisille)
SIAM J. Numer. Anal., Vol. 44, Issue 5, pp. 1997-2024, 2006.

Image Inpainting via Fluid Equations
(with N. Sochen)
4th IEEE International Conference on Infomation Technology, pp. 23-25, 2006.

A Pure-Compact Scheme for the Streamfunction Formulation of Navier-Stokes Equations
(with M. Ben-Artzi, J-P. Croisille and S. Trachtenberg)
J. Comp. Phys., Vol. 205, No.2, pp. 640-664 (2005).

A Compact Scheme for the Streamfunction Formulation of Navier-Stokes Equations
(with M. Ben-Artzi and J-P. Croisille), Lecture Notes in Computer Science (Springer Verlag), Vol. 2667, pp. 809-817, 2003,
M. L. Gavriova, V. Kumar, P. L'Ecuyer, C.J.K. Tan, eds.

Bacterial Flagellar Microhydrodynamics: Comparative Flow over Complex Flagellar Filaments and Analog Archimedean Screws and Cylinders
(with S. Trachtenberg and M. Ben-Artzi),
Biophysical J., Vol. 85, No. 3, pp.1345-1357, 2003.

Vorticity Dynamics and Numerical Resolution of Navier-Stokes Equations
(with M. Ben-Artzi and S. Trachtenberg), Mathematical Modelling and Numerical Analysis, 35(2), pp. 313-330, 2001.

Simulation of three-dimensional turbulent flow in non-cartesian geometry
J. Comp. Phys.,115, No.2: 249-266, 1994.

A convergent particle scheme for convection-diffusion equation
Preprint No. 2, The Edmund Landau Research Center for Research in Mathematical Analysis, 1993.

Simulation of three-dimensional turbulent flow
in the Proceedings of the 24-th Israel Conference on Mechanical Engineering, May 1992.

Vortex schemes for viscous flow
in "Vortex Dynamics and Vortex Methods", Lectures in Applied Mathematics,
Christopher R. Anderson and Claude Greengards, eds., Vol.28:153-164,1991.

A fixed grid for vortex methods
Lawrence Berkeley Laboratory Report-27489,1990.

Vortex methods for slightly viscous three dimensional flow
SIAM J. Sci. and Stat. Comput., 11, No. 3:399-424,1990.

A new vortex scheme for viscous flows
J. Comput. Phys., 86, No.1:211-244,1990.

Vortex methods for slightly viscous three dimensional flow
in Proceedings of the 11 International Conference on Numerical Methods in Fluid Dynamics, June 1988, Williamsburg, Virginia (Springer Verlag)
D.L. Dwoyer, M.Y. Hussaini and R.G. Voigt eds., pp. 256-261.

The spectrum and the stability of the Chebyshev collocation operator for the small disturbance equation of transonic flow
Math. Comput., 51, No. 184:559-579, 1988.

Spectral methods for the small disturbance equation of transonic flows
SIAM, J. Sci. and Stat. Comput., 9,No. 2: 232-251, 1988.

Local mesh refinement with finite elements for elliptic problems (with J. Gregory, B. Schiff and J.R. Whiteman),
J. Comput. Phys., Vol. 29, 9:pp. 133-140, 1978.

Finite Element Solution of the Biharmonic Problem in a Region Containing a Re-Entrant Corner
M. Sc., Tel-Aviv University, 1978.

Determination of a stress intensity factor using local mesh refinement (with B. Schiff and J.R. Whiteman),
in The Mathematics of Finite Element and Applications, J.R. Whiteman, pp. 55-64, 1978.

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