Preconditioned iterative methods for PDE
Participants
- Sverker Holmgren (coordinator)
- Kurt Otto
- Henrik Brandén
- Per Sundqvist
Research
Articles and Refereed Conference Contributions
- Stability of the notion of approximating class of sequences and applications. In Journal of Computational and Applied Mathematics, volume 219, pp 518-536, 2008. (DOI).
- Discrete fundamental solution preconditioning for hyperbolic systems of PDE. In Journal of Scientific Computing, volume 30, pp 35-60, 2007. (DOI).
- Can one hear the composition of a drum?. In Mediterranean Journal of Mathematics, volume 3, pp 227-249, 2006. (DOI).
- Preconditioners based on fundamental solutions. In BIT Numerical Mathematics, volume 45, pp 481-494, 2005. (DOI).
- An algorithm for computing fundamental solutions of difference operators. In Numerical Algorithms, volume 36, pp 331-343, 2004. (DOI).
- Convergence acceleration for the steady-state Euler equations. In Computers & Fluids, volume 32, pp 1075-1092, 2003. (DOI).
- Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations. In SIAM Journal on Scientific Computing, volume 21, pp 1524-1550, 2000. (DOI).
- Convergence acceleration for hyperbolic systems using semicirculant approximations. In Journal of Scientific Computing, volume 14, pp 357-393, 1999. (DOI).
- A framework for polynomial preconditioners based on fast transforms II: PDE applications. In BIT Numerical Mathematics, volume 38, pp 721-736, 1998. (DOI).
- A framework for polynomial preconditioners based on fast transforms I: Theory. In BIT Numerical Mathematics, volume 38, pp 544-559, 1998. (DOI).
- Semicirculant solvers and boundary corrections for first-order partial differential equations. In SIAM Journal on Scientific Computing, volume 17, pp 613-630, 1996. (DOI).
- Semicirculant preconditioners for first-order partial differential equations. In SIAM Journal on Scientific Computing, volume 15, pp 385-407, 1994. (DOI).
- Iterative solution methods and preconditioners for block-tridiagonal systems of equations. In SIAM Journal on Matrix Analysis and Applications, volume 13, pp 863-886, 1992. (DOI).
Theses
- Numerical Computations with Fundamental SolutionsNumeriska beräkningar med fundamentallösningar. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 45, Acta Universitatis Upsaliensis, Uppsala, 2005. (fulltext).
- Preconditioners and fundamental solutions. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2003-001, Uppsala University, 2003. (fulltext).
- Convergence Acceleration for Flow Problems. Ph.D. thesis, Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 598, Acta Universitatis Upsaliensis, Uppsala, 2001. (fulltext).
- Convergence acceleration for flow problems using semicirculant approximations. Licentiate thesis, Scientific Report nr 214, Dept. of Scientific Computing, Uppsala University, 1999.
- Fast Solvers for First-order PDE. Ph.D. thesis, Comprehensive summaries of Uppsala dissertations from the Faculty of Science nr 438, Acta Universitatis Upsaliensis, Uppsala, 1993.