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KoF references for the Division of
Scientific Computing

A4

[N1] Bertil Gustafsson, Heinz-Otto Kreiss, and Joseph Oliger. Time Dependent Problems and Difference Methods. John Wiley & Sons, New York, 1995.

[N2] Gunilla Kreiss and Heinz-Otto Kreiss. Stability of systems of viscous conservation laws. In volume 51 of Comm. Pure Appl. Math., pp 1397-1424, 1998.

[N3] Jan Nordström and Mark H. Carpenter. Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations. In volume 148 of J. Comput. Phys., pp 621-645, 1999.

[N4] Owe Axelsson and Maya Neytcheva. Preconditioning methods for linear systems arising in constrained optimization problems. In volume 10 of Numer. Linear Algebra Appl., pp 3-31, 2003.

[N5] Lina Hemmingsson and Kurt Otto. Analysis of semi-Toeplitz preconditioners for first-order PDEs. In volume 17 of SIAM J. Sci. Comput., pp 47-64, 1996.

[N6] Jarmo Rantakokko. Partitioning strategies for structured multiblock grids. In volume 26 of Parallel Computing, pp 1661-1680, 2000.

[N7] Per Lötstedt and Martin Nilsson. A minimal residual interpolation method for linear equations with multiple right-hand sides. In volume 25 of SIAM J. Sci. Comput., pp 2126-2144, 2004.

A5

[N8] Kajsa Ljungberg, Sverker Holmgren, and Örjan Carlborg. Simultaneous search for multiple QTL using the global optimization algorithm DIRECT. In volume 20 of Bioinformatics, pp 1887-1895, 2004.

[N9] Per Lötstedt and Lars Ferm. Dimensional reduction of the Fokker-Planck equation for stochastic chemical reactions. In volume 5 of Multiscale Model. Simul., pp 593-614, 2006.

[N10] Eddie Wadbro and Martin Berggren. Topology optimization of an acoustic horn. In volume 196 of Comput. Methods Appl. Mech. Engrg., pp 420-436, 2006.

Additional

[N11] Bertil Gustafsson and Lina Hemmingsson-Frändén. Implicit high-order difference methods and domain decomposition for hyperbolic problems. In volume 33 of Appl. Numer. Math., pp 493-500, 2000.

[N12] Bertil Gustafsson and Eva Mossberg. Time Compact High Order Difference Methods for Wave Propagation. In volume 26 of SIAM J. Sci. Comput., pp 259-271, 2004.

[N13] Mark H. Carpenter, Jan Nordström, and David Gottlieb. A stable and conservative interface treatment of arbitrary spatial accuracy. In volume 148 of J. Comput. Phys., pp 341-365, 1999.

[N14] Arnim Brüger, Bertil Gustafsson, Per Lötstedt, and Jonas Nilsson. High order accurate solution of the incompressible Navier-Stokes equations. In volume 203 of J. Comput. Phys., pp 49-71, 2005.

[N15] Bernhard Müller and H. C. Yee. Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers. In volume 17 of J. Sci. Comput., pp 181-190, 2002.

[N16] Lars Ferm and Per Lötstedt. Anisotropic grid adaptation for Navier-Stokes' equations. In volume 190 of J. Comput. Phys., pp 22-41, 2003.

[N17] Jan Nordström and Jing Gong. A stable hybrid method for hyperbolic problems. In volume 212 of J. Comput. Phys., pp 436-453, 2006.

[N18] Sverker Holmgren and Kurt Otto. Iterative solution methods and preconditioners for block-tridiagonal systems of equations. In volume 13 of SIAM J. Matrix Anal. Appl., pp 863-886, 1992.

[N19] Sverker Holmgren and Kurt Otto. A framework for polynomial preconditioners based on fast transforms I: Theory. In volume 38 of BIT, pp 544-559, 1998.

[N20] Kurt Otto. Analysis of preconditioners for hyperbolic partial differential equations. In volume 33 of SIAM J. Numer. Anal., pp 2131-2165, 1996.

[N21] Lina Hemmingsson. A semi-circulant preconditioner for the convection-diffusion equation. In volume 81 of Numer. Math., pp 211-248, 1998.

[N22] Sverker Holmgren, Henrik Brandén, and Erik Sterner. Convergence acceleration for the linearized Navier-Stokes equations using semicirculant approximations. In volume 21 of SIAM J. Sci. Comput., pp 1524-1550, 2000.

[N23] Kurt Otto and Elisabeth Larsson. Iterative solution of the Helmholtz equation by a second-order method. In volume 21 of SIAM J. Matrix Anal. Appl., pp 209-229, 1999.

[N24] Elisabeth Larsson and Sverker Holmgren. Parallel solution of the Helmholtz equation in a multilayer domain. In volume 43 of BIT: Numerical Mathematics, pp 387-411, 2003.

[N25] Elisabeth Larsson. A domain decomposition method for the Helmholtz equation in a multilayer domain. In volume 20 of SIAM J. Sci. Comput., pp 1713-1731, 1999.

[N26] Henrik Brandén, Sverker Holmgren, and Per Sundqvist. Discrete fundamental solution preconditioning for hyperbolic systems of PDE. In volume 30 of J. Sci. Comput., pp 35-60, 2007.

[N27] Radim Blaheta, Svetozar Margenov, and Maya Neytcheva. Robust optimal multilevel preconditioners for non-conforming finite element systems. In volume 12 of Numer. Linear Algebra Appl., pp 495-514, 2005.

[N28] Erik Bängtsson and Maya Neytcheva. Numerical simulations of glacial rebound using preconditioned iterative solution methods. In volume 50 of Appl. Math., pp 183-201, 2005.

[N29] Michael Thuné, Krister Åhlander, Malin Ljungberg, Markus Nordén, Kurt Otto, and Jarmo Rantakokko. Object-oriented modeling of parallel PDE solvers. In Ronald F. Boisvert and P. T. Peter Tang, editors, The Architecture of Scientific Software, Kluwer Academic Publishers, Norwell, MA, pp 159-174, 2001.

[N30] Jarmo Rantakokko. A framework for partitioning structured grids with inhomogeneous workload. In volume 13 of Parallel Algorithms Appl., pp 135-151, 1998.

[N31] Henrik Löf, Markus Nordén, and Sverker Holmgren. Improving Geographical Locality of Data for Shared Memory Implementations of PDE Solvers. In Marian Bubak et al., editor, Computational Science - ICCS 2004, volume 3037 of Lecture Notes in Computer Science, Springer-Verlag, Berlin, pp 9-16, 2004.

[N32] Dan Wallin, Henrik Löf, Erik Hagersten, and Sverker Holmgren. Multigrid and Gauss-Seidel smoothers revisited: Parallelization on chip multiprocessors. In Proc. 20th ACM International Conference on Supercomputing, ACM Press, New York, pp 145-155, 2006.

[N33] Fredrik Edelvik and Gunnar Ledfelt. A comparison of time-domain hybrid solvers for complex scattering problems. In volume 15 of Int. J. Numer. Modelling: Electronic Networks, Devices and Fields, pp 475-487, 2002.

[N34] Fredrik Edelvik and Bo Strand. Frequency Dispersive Materials for 3-D Hybrid Solvers in Time Domain. In volume 51 of IEEE Trans. Antennas and Propagation, pp 1199-1205, 2003.

[N35] Martin Nilsson. Rapid solution of parameter-dependent linear systems for electromagnetic problems in the frequency domain. In volume 53 of IEEE Trans. Antennas and Propagation, pp 777-784, 2005.

[N36] Erik Abenius and Bo Strand. Solving inverse electromagnetic problems using FDTD and gradient-based minimization. In volume 68 of Int. J. Numer. Methods Engrg., pp 650-673, 2006.

[N37] Fredrik Edelvik, Gunnar Ledfelt, Per Lötstedt, and Douglas J. Riley. An Unconditionally Stable Subcell Model for Arbitrarily Oriented Thin Wires in the FETD Method. In volume 51 of IEEE Trans. Antennas and Propagation, pp 1797-1805, 2003.

[N38] Fredrik Edelvik. On the modeling of small geometric features in computational electromagnetics. In Björn Engquist, Per Lötstedt, and Olof Runborg, editors, Multiscale Methods in Science and Engineering, volume 44 of Lecture Notes in Computational Science and Engineering, Springer-Verlag, Berlin, pp 133-148, 2005.

[N39] Erik Lindblad, Damir M. Valiev, Bernhard Müller, Jarmo Rantakokko, Per Lötstedt, and Michael A. Liberman. Implicit-explicit Runge-Kutta method for combustion simulation. In Pieter Wesseling, Eugenio Oñate, and Jacques Périaux, editors, Proc. ECCOMAS CFD Conference 2006, Tech. Univ., Delft, The Netherlands, p 20, 2006.

[N40] Elin Olsson and Gunilla Kreiss. A conservative level set method for two phase flow. In volume 210 of J. Comput. Phys., pp 225-246, 2005.

[N41] Lars Ferm, Per Lötstedt, and Paul Sjöberg. Conservative solution of the Fokker-Planck equation for stochastic chemical reactions. In volume 46 of BIT: Numerical Mathematics, pp S61-S83, 2006.

[N42] Elisabeth Larsson and Bengt Fornberg. A numerical study of some radial basis function based solution methods for elliptic PDEs. In volume 46 of Comput. Math. Appl., pp 891-902, 2003.

[N43] Elisabeth Larsson and Bengt Fornberg. Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. In volume 49 of Comput. Math. Appl., pp 103-130, 2005.

[N44] Ulrika Pettersson, Elisabeth Larsson, Gunnar Marcusson, and Jonas Persson. Improved radial basis function methods for multi-dimensional option pricing. In volume 222 of J. Comput. Appl. Math., pp 82-93, 2008.

[N45] Hans O. Karlsson and Sverker Holmgren. Cross correlation functions C_nm(E) via Lanczos algorithms without diagonalization. In volume 117 of J. Chem. Phys., pp 9116-9123, 2002.

[N46] Per Lötstedt, Jonas Persson, Lina von Sydow, and Johan Tysk. Space-time adaptive finite difference method for European multi-asset options. In volume 53 of Comput. Math. Appl., pp 1159-1180, 2007.

[N47] Olivier Amoignon, Jan Pralits, Ardeshir Hanifi, Martin Berggren, and Dan Henningson. Shape optimization for delay of laminar-turbulent transition. In volume 44 of AIAA Journal, pp 1009-1024, 2006.

[N48] Erik Bängtsson, Daniel Noreland, and Martin Berggren. Shape optimization of an acoustic horn. In volume 192 of Comput. Methods Appl. Mech. Engrg., pp 1533-1571, 2003.