Sigal Gottlieb
On sabbatical leave (2005-2006)

Associate Professor
Department of Mathematics
sgottlieb@umassd.edu

Academic background

Sc.B (May 1993), Sc.M. (May 1995) and Ph.D. (May 1998) from Brown University . My advisor is Prof. Chi Wang Shu in Applied Mathematics, Brown University .

Research Interests

Strong Stability Preserving` Runge-Kutta methods.

implicit WENO methods.

Gegenbauer postprocessing.

Spectral methods.

Modified Conjugate Gradient method.

Fall 2006 Courses - TBA

Where to contact me:

Sigal Gottlieb
Department of Mathematics
University of Massachusetts
285 Old Westport Road, North Dartmouth
MA 02747-2300
Tel: (401) 863-2261(work)
FAX: (401) 863-1355
email: sgottlieb@umassd.edu

Peer Reviewed Journal Publications
S. Gottlieb and S. J. Ruuth, ``Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations.'' To appear in Journal of Scientific Computing.
S. Gottlieb, J. S. Mullen and S. J. Ruuth, ``A fifth order flux-implicit WENO method.'' To appear in Journal of Scientific Computing .
R. Archibald, A. Gelb, S. Gottlieb and J. Ryan, ``One-sided post-processing for the Discontinuous Galerkin Method Using ENO-type stencil choice and the Edge Detection Method.'' To appear in Journal of Scientific Computing .
S. Gottlieb, ``On High Order Strong Stability Preserving Runge-Kutta and Multi Step Time Discretizations'' To appear in Journal of Scientific Computing .
S. Gottlieb, D. Gottlieb and C.-W. Shu, ``Recovering High Order Accuracy in WENO Computations of Steady State Hyperbolic Systems'' To appear in Journal of Scientific Computing.
D. Gottlieb and S. Gottlieb, ``Spectral Methods for Compressible Reactive Flows'' Comptes Rendus Mecanique} 333 (2005), pp. 3-16.
D. Gottlieb and S. Gottlieb, ``Spectral Methods for Discontinuous Problems.'' Proceedings 20th biennial Conference on Numerical Analysis, D.F. Griffiths and G. A. Watson, editors.
University of Dundee Numerical Analysis Report NA/217 (2003).
S. Gottlieb and L.-A. J. Gottlieb, `` Strong Stability Preserving Properties of Runge-Kutta Time Discretization Methods for Linear Constant Coefficient Operators'' Journal of Scientific Computing 18 (1) (2003), pp. 89-109.
S. Gottlieb, C.W. Shu and E. Tadmor, ``Strong Stability Preserving High Order Time Discretization Methods.'' SIAM review 43 no. 1 (2001), pp. 89-112
P.F. Fischer and S. Gottlieb, ``Solving A x = b using a modified conjugate gradient method based on the roots of A.'' Journal of Scientific Computing 15 (4) (2000), pp.441-456.
S. Gottlieb and C.W. Shu, ``Total Variation Diminishing Runge-Kutta Schemes.'' Mathematics of Computation 67 (1998), pp.73-85.
P. F. Fischer and S. Gottlieb ``A Modified Conjugate Gradient Method for the Solution of A x =b.'' Journal of Scientific Computing 13 (2) (1998), pp.173-183.
C.R. Johnson, I.M. Spitkovsky and S. Gottlieb ``Inequalities Involving the Numerical Radius.'' Linear and Multilinear Algebra 37 (1994), pp.13-24.

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Last Updated On: 3/20/07