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Preconditioned iterative methods for PDE

Participants

• Sverker Holmgren (coordinator)
• Kurt Otto
• Henrik Brandén
• Per Sundqvist

Research

Articles and Refereed Conference Contributions

• Iterative solution methods and preconditioners for block-tridiagonal systems of equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Matrix Analysis and Applications, volume 13, pp 863-886, 1992.
• Semicirculant preconditioners for first-order partial differential equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Scientific Computing, volume 15, pp 385-407, 1994.
• Semicirculant solvers and boundary corrections for first-order partial differential equations. Sverker Holmgren and Kurt Otto. In SIAM Journal on Scientific Computing, volume 17, pp 613-630, 1996.
• A framework for polynomial preconditioners based on fast transforms I: Theory. Sverker Holmgren and Kurt Otto. In BIT Numerical Mathematics, volume 38, pp 544-559, 1998.
• A framework for polynomial preconditioners based on fast transforms II: PDE applications. Sverker Holmgren and Kurt Otto. In BIT Numerical Mathematics, volume 38, pp 721-736, 1998.
• Convergence acceleration for hyperbolic systems using semicirculant approximations. Henrik Brandén and Sverker Holmgren. In Journal of Scientific Computing, volume 14, pp 357-393, 1999.
• Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations. Sverker Holmgren, Henrik Brandén, and Erik Sterner. In SIAM Journal on Scientific Computing, volume 21, pp 1524-1550, 2000.
• Convergence acceleration for the steady-state Euler equations. Henrik Brandén and Sverker Holmgren. In Computers & Fluids, volume 32, pp 1075-1092, 2003.
• An algorithm for computing fundamental solutions of difference operators. Henrik Brandén and Per Sundqvist. In Numerical Algorithms, volume 36, pp 331-343, 2004.
• Preconditioners based on fundamental solutions. Henrik Brandén and Per Sundqvist. In BIT Numerical Mathematics, volume 45, pp 481-494, 2005.
• Discrete fundamental solution preconditioning for hyperbolic systems of PDE. Henrik Brandén, Sverker Holmgren, and Per Sundqvist. In Journal of Scientific Computing, volume 30, pp 35-60, 2007.
• Can one hear the composition of a drum?. Sverker Holmgren, Stefano Serra-Capizzano, and Per Sundqvist. In Mediterranean Journal of Mathematics, volume 3, pp 227-249, 2006.
• Stability of the notion of approximating class of sequences and applications. Stefano Serra-Capizzano and Per Sundqvist. In Journal of Computational and Applied Mathematics, volume 219, pp 518-536, 2008.

Theses

• Fast Solvers for First-order PDE. Sverker Holmgren. Ph.D. thesis, Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science nr 438, Acta Universitatis Upsaliensis, 1993.

• Convergence acceleration for flow problems using semicirculant approximations. Henrik Brandén. Licentiate thesis, Scientific Report nr 214, Dept. of Scientific Computing, Uppsala University, 1999.
• Convergence Acceleration for Flow Problems. Henrik Brandén. Ph.D. thesis, Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 598, Acta Universitatis Upsaliensis, 2001.
• Preconditioners and fundamental solutions. Per Sundqvist. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2003-001, 2003.
• Numerical Computations with Fundamental SolutionsNumeriska beräkningar med fundamentallösningar. Per Sundqvist. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 45, Acta Universitatis Upsaliensis, 2005.

Supervised M.Sc. Theses and Project Reports

Software

Contact Information

Sverker Holmgren