KoF07 references for the Division of Scientific Computing
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Time Dependent Problems and Difference Methods. John Wiley & Sons, New York, 1995.
- Stability of systems of viscous conservation laws. Gunilla Kreiss and Heinz-Otto Kreiss. In Communications on Pure and Applied Mathematics, volume 51, pp 1397-1424, 1998.
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Boundary and interface conditions for high-order finite-difference methods applied to the Euler and Navier-Stokes equations. In Journal of Computational Physics, volume 148, pp 621-645, 1999. (DOI).
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Preconditioning methods for linear systems arising in constrained optimization problems. In Numerical Linear Algebra with Applications, volume 10, pp 3-31, 2003. (DOI).
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Analysis of semi-Toeplitz preconditioners for first-order PDEs. In SIAM Journal on Scientific Computing, volume 17, pp 47-64, 1996. (DOI).
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Partitioning strategies for structured multiblock grids. In Parallel Computing, volume 26, pp 1661-1680, 2000. (DOI).
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A minimal residual interpolation method for linear equations with multiple right-hand sides. In SIAM Journal on Scientific Computing, volume 25, pp 2126-2144, 2004. (DOI).
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Simultaneous search for multiple QTL using the global optimization algorithm DIRECT. In Bioinformatics, volume 20, pp 1887-1895, 2004. (DOI).
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Dimensional reduction of the Fokker-Planck equation for stochastic chemical reactions. In Multiscale Modeling & simulation, volume 5, pp 593-614, 2006. (DOI).
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Topology optimization of an acoustic horn. In Computer Methods in Applied Mechanics and Engineering, volume 196, pp 420-436, 2006. (DOI).
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Implicit high-order difference methods and domain decomposition for hyperbolic problems. In Applied Numerical Mathematics, volume 33, pp 493-500, 2000. (DOI).
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Time Compact High Order Difference Methods for Wave Propagation. In SIAM Journal on Scientific Computing, volume 26, pp 259-271, 2004. (DOI).
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A stable and conservative interface treatment of arbitrary spatial accuracy. In Journal of Computational Physics, volume 148, pp 341-365, 1999. (DOI).
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High order accurate solution of the incompressible Navier-Stokes equations. In Journal of Computational Physics, volume 203, pp 49-71, 2005. (DOI).
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Entropy Splitting for High Order Numerical Simulation of Vortex Sound at Low Mach Numbers. In Journal of Scientific Computing, volume 17, pp 181-190, 2002. (DOI).
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Anisotropic grid adaptation for Navier-Stokes' equations. In Journal of Computational Physics, volume 190, pp 22-41, 2003. (DOI).
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A stable hybrid method for hyperbolic problems. In Journal of Computational Physics, volume 212, pp 436-453, 2006. (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).
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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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Analysis of preconditioners for hyperbolic partial differential equations. In SIAM Journal on Numerical Analysis, volume 33, pp 2131-2165, 1996. (DOI).
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A semi-circulant preconditioner for the convection-diffusion equation. In Numerische Mathematik, volume 81, pp 211-248, 1998. (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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Iterative solution of the Helmholtz equation by a second-order method. In SIAM Journal on Matrix Analysis and Applications, volume 21, pp 209-229, 1999. (DOI).
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Parallel solution of the Helmholtz equation in a multilayer domain. In BIT Numerical Mathematics, volume 43, pp 387-411, 2003. (DOI).
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A domain decomposition method for the Helmholtz equation in a multilayer domain. In SIAM Journal on Scientific Computing, volume 20, pp 1713-1731, 1999. (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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Robust optimal multilevel preconditioners for non-conforming finite element systems. In Numerical Linear Algebra with Applications, volume 12, pp 495-514, 2005. (DOI).
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Numerical simulations of glacial rebound using preconditioned iterative solution methods. In Applications of Mathematics, volume 50, pp 183-201, 2005. (DOI).
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Object-oriented modeling of parallel PDE solvers. In The Architecture of Scientific Software, pp 159-174, Kluwer Academic Publishers, Norwell, MA, 2001.
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A framework for partitioning structured grids with inhomogeneous workload. In Parallel Algorithms and Applications, volume 13, pp 135-151, 1998. (DOI).
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Improving Geographical Locality of Data for Shared Memory Implementations of PDE Solvers. In Computational Science – ICCS 2004, volume 3037 of Lecture Notes in Computer Science, pp 9-16, Springer-Verlag, Berlin, 2004. (DOI).
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Multigrid and Gauss-Seidel smoothers revisited: Parallelization on chip multiprocessors. In Proc. 20th ACM International Conference on Supercomputing, pp 145-155, ACM Press, New York, 2006. (DOI).
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A comparison of time-domain hybrid solvers for complex scattering problems. In International journal of numerical modelling, volume 15, pp 475-487, 2002. (DOI).
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Frequency Dispersive Materials for 3-D Hybrid Solvers in Time Domain. In IEEE Transactions on Antennas and Propagation, volume 51, pp 1199-1205, 2003. (DOI).
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Rapid solution of parameter-dependent linear systems for electromagnetic problems in the frequency domain. In IEEE Transactions on Antennas and Propagation, volume 53, pp 777-784, 2005. (DOI).
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Solving inverse electromagnetic problems using FDTD and gradient-based minimization. In International Journal for Numerical Methods in Engineering, volume 68, pp 650-673, 2006. (DOI).
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An Unconditionally Stable Subcell Model for Arbitrarily Oriented Thin Wires in the FETD Method. In IEEE Transactions on Antennas and Propagation, volume 51, pp 1797-1805, 2003. (DOI).
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On the modeling of small geometric features in computational electromagnetics. In Multiscale Methods in Science and Engineering, volume 44 of Lecture Notes in Computational Science and Engineering, pp 133-148, Springer-Verlag, Berlin, 2005. (DOI).
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Implicit-explicit Runge-Kutta method for combustion simulation. In Proc. ECCOMAS CFD Conference 2006, p 20, Tech. Univ. Delft, The Netherlands, 2006.
- A conservative level set method for two phase flow. Elin Olsson and Gunilla Kreiss. In Journal of Computational Physics, volume 210, pp 225-246, 2005.
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Conservative solution of the Fokker-Planck equation for stochastic chemical reactions. In BIT Numerical Mathematics, volume 46, pp S61-S83, 2006. (DOI).
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A numerical study of some radial basis function based solution methods for elliptic PDEs. In Computers and Mathematics with Applications, volume 46, pp 891-902, 2003. (DOI).
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Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. In Computers and Mathematics with Applications, volume 49, pp 103-130, 2005. (DOI).
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Improved radial basis function methods for multi-dimensional option pricing. In Journal of Computational and Applied Mathematics, volume 222, pp 82-93, 2008. (DOI).
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Cross correlation functions <em>C<sub>nm</sub></em>(<em>E</em>) via Lanczos algorithms without diagonalization. In Journal of Chemical Physics, volume 117, pp 9116-9123, 2002. (DOI).
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Space-time adaptive finite difference method for European multi-asset options. In Computers and Mathematics with Applications, volume 53, pp 1159-1180, 2007. (DOI).
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Shape optimization for delay of laminar-turbulent transition. In AIAA Journal, volume 44, pp 1009-1024, 2006. (DOI).
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Shape optimization of an acoustic horn. In Computer Methods in Applied Mechanics and Engineering, volume 192, pp 1533-1571, 2003. (DOI).