This page is a copy of research/scientific_computing/former/nlapde (Wed, 31 Aug 2022 15:00:52)
Preconditioned iterative methods for PDE
Participants
- Sverker Holmgren (coordinator)
- Kurt Otto
- Henrik Brandén
- Per Sundqvist
Research
Articles and Refereed Conference Contributions
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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
).
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Discrete fundamental solution preconditioning for hyperbolic systems of PDE
. In Journal of Scientific Computing, volume 30, pp 35-60, 2007. (DOI
).
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Can one hear the composition of a drum?
. In Mediterranean Journal of Mathematics, volume 3, pp 227-249, 2006. (DOI
).
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Preconditioners based on fundamental solutions
. In BIT Numerical Mathematics, volume 45, pp 481-494, 2005. (DOI
).
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An algorithm for computing fundamental solutions of difference operators
. In Numerical Algorithms, volume 36, pp 331-343, 2004. (DOI
).
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Convergence acceleration for the steady-state Euler equations
. In Computers & Fluids, volume 32, pp 1075-1092, 2003. (DOI
).
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Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations
. In SIAM Journal on Scientific Computing, volume 21, pp 1524-1550, 2000. (DOI
).
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Convergence acceleration for hyperbolic systems using semicirculant approximations
. In Journal of Scientific Computing, volume 14, pp 357-393, 1999. (DOI
).
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A framework for polynomial preconditioners based on fast transforms II: PDE applications
. In BIT Numerical Mathematics, volume 38, pp 721-736, 1998. (DOI
).
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A framework for polynomial preconditioners based on fast transforms I: Theory
. In BIT Numerical Mathematics, volume 38, pp 544-559, 1998. (DOI
).
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Semicirculant solvers and boundary corrections for first-order partial differential equations
. In SIAM Journal on Scientific Computing, volume 17, pp 613-630, 1996. (DOI
).
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Semicirculant preconditioners for first-order partial differential equations
. In SIAM Journal on Scientific Computing, volume 15, pp 385-407, 1994. (DOI
).
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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
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Numerical Computations with Fundamental Solutions
Numeriska 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
).
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Preconditioners and fundamental solutions
. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2003-001, Uppsala University, 2003. (fulltext
).
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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
).
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Convergence acceleration for flow problems using semicirculant approximations
. Licentiate thesis, Scientific Report nr 214, Dept. of Scientific Computing, Uppsala University, 1999.
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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.