Publications
2007. Solving the stochastic steady-state diffusion problem using multigrid. IMA journal of numerical analysis. 27(4):675-675.
1990. Iterative methods for cyclically reduced non-self-adjoint linear systems. Math. Comp. 54(190):671-700.
1997. Perturbation of eigenvalues of preconditioned Navier-Stokes operators. SIAM Journal on Matrix Analysis and Applications. 18(3):733-751.
1986. A Hybrid Chebyshev Krylov Subspace Algorithm for Solving Nonsymmetric Systems of Linear Equations. SIAM Journal on Scientific and Statistical ComputingSIAM J. Sci. and Stat. Comput.. 7(3):840-840.
2006. Fourier analysis of multigrid for a model two-dimensional convection-diffusion equation. BIT Numerical Mathematics. 46(2):283-306.
2005. Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics. :416.
1991. Iterative methods for cyclically reduced non-self-adjoint linear systems II. Math. Comp. 56(193):215-242.
2001. Preconditioners for Saddle Point Problems Arising in Computational Fluid Dynamics. UMIACS-TR-2001-88
1982. Iterative methods for large, sparse, nonsymmetric systems of linear equations.. Dissertation Abstracts International Part B: Science and Engineering[DISS. ABST. INT. PT. B- SCI. & ENG.],. 43(5):1982-1982.
2007. IFISS: A Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software. 33(2)
1994. Iterative methods for linear systems. Large-Scale Matrix Problems and the Numerical Solution of Partial Differential Equations. 3:69-177.
1994. Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems. SIAM Journal on Numerical Analysis. 31(6):1645-1661.
1999. Preconditioning for the steady-state Navier-Stokes equations with low viscosity. SIAM Journal on Scientific Computing. 20(4):1299-1316.
2006. Block preconditioners based on approximate commutators. SIAM Journal on Scientific Computing. 27(5):1651-1668.
2005. Preconditioning strategies for models of incompressible flow. Journal of Scientific Computing. 25(1):347-366.
1993. Ordering Effects on Relaxation Methods Applied to the Discrete One- Dimensional Convection-Diffusion Equation. SIAM Journal on Numerical Analysis. 30(5):1268-1290.
2002. A Parallel Block Multi-level Preconditioner for the 3D Incompressible Navier--Stokes Equations. UMIACS-TR-2002-95
2008. H (div) preconditioning for a mixed finite element formulation of the stochastic diffusion problem.
1995. Algebraic Analysis of the Hierarchical Basis Preconditioner. SIAM Journal on Matrix Analysis and ApplicationsSIAM. J. Matrix Anal. & Appl.. 16(1):192-192.
2007. Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM J. Sci. Comput. 30(1):290-311.
1995. Use of linear algebra kernels to build an efficient finite element solver. Parallel Computing. 21(1):161-173.