Sigal Gottlieb
Associate Professor
Mathematics Department
Umass Dartmouth
sgottlieb@umassd.edu
My CV
Book
Jan S. Hesthaven, Sigal Gottlieb, David Gottlieb
Spectral Methods for Time Dependent Problems.
Cambridge Monographs on Applied and Computational Mathematics (No. 21)
Cambridge University Press (2006). ISBN 0521792118
Book Chapter
A. Gelb and S. Gottlieb,
The Resolution of the Gibbs Phenomenon for
Fourier Spectral Methods.
Chapter 7 in
Advances in The Gibbs Phenomenon with Detailed Introduction
Abdul J. Jerri, Editor, Sampling Publishing, Potsdam, New York (2007),
ISBN 0967301-0-8.
Peer Reviewed Journal Publications
S. Gottlieb and J.-H. Jung,
On the Numerical Implementation of spectral Galerkin Penalty Methods.
Submitted to Communications in Computational Physics
D. Ketcheson, C. Macdonald, and S. Gottlieb,
Optimal implicit strong stability preserving Runge-Kutta methods.
Submitted to Applied Numerical Mathematics
C. Macdonald, S. Gottlieb, and S. J. Ruuth,
A numerical study of diagonally split Runge--Kutta methods for PDEs with discontinuities.
Submitted to 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.
Journal of Scientific Computing vol. 28 (2006), pp.167-190.
S. Gottlieb, D. Gottlieb and C.-W. Shu,
Recovering High Order Accuracy in WENO Computations
of Steady State Hyperbolic Systems
Journal of Scientific Computing
vol. 28 (2006), pp.307-318.
S. Gottlieb and S. J. Ruuth,
Optimal strong-stability-preserving time-stepping schemes
with fast downwind spatial discretizations.
Journal of Scientific Computing
vol. 27 (2006), pp. 289-304.
S. Gottlieb, J. S. Mullen and S. J. Ruuth,
A fifth order flux-implicit WENO method.
Journal of Scientific Computing
vol. 27 (2006), pp. 271-288.
S. Gottlieb,
On High Order Strong Stability Preserving Runge-Kutta and
Multi Step Time Discretizations.
Journal of Scientific Computing
vol. 25 (2005), pp. 105-128.
D. Gottlieb and S. Gottlieb,
Spectral Methods for Compressible Reactive Flows
Comptes Rendus Mecanique vol. 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
vol 18 (1) (2003), pp. 89-109.
S. Gottlieb, C.W. Shu and E. Tadmor,
Strong Stability Preserving High Order Time Discretization Methods
SIAM review vol. 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
vol. 15 no. 4 (2000), pp.441-456.
S. Gottlieb and C.W. Shu,
Total Variation Diminishing Runge-Kutta Schemes
Mathematics of Computation
vol. 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
vol. 13 no. 2 (1998), pp.173-183.
C.R. Johnson, I.M. Spitkovsky and S. Gottlieb
Inequalities Involving the Numerical Radius.
Linear and Multilinear Algebra
vol. 37 (1994), pp.13-24.
Refereed Conference Proceedings
S. Gottlieb and J. S. Mullen,
An Implicit WENO Scheme for Steady-State Computation of Scalar
Hyperbolic Equations
in Computational Fluid and Solid Mechanics 2003
(ed. K.J. Bathe)} (2003)
U. Qidwai and S. Gottlieb,
An efficient hole-filling algorithm for c-scan
enhancement. Review of the progress in Quantitative
Nondestructive Evaluation (RQNDE) , Maine, 2001.
Book Reviews
S. Gottlieb and D. Gottlieb,
Review of ``Spectral Methods for Incompressible Visocous Flow''
by Roger Payret, SIAM Review
vol. 45 (2003), pp.147-148
D. Gottlieb and S. Gottlieb,
Review of ``High-Order Methods for Incompressible
Fluid Flow'' by M.O. Deville, P.F. Fischer and E.H. Mund.,
Mathematics of Computation
vol. 73 (2003), pp. 1039-1040