Refereed publications from ANLA

  1. Multi-dimensional option pricing using radial basis functions and the generalized Fourier transform. Elisabeth Larsson, Krister Åhlander, and Andreas Hall. In Journal of Computational and Applied Mathematics, volume 222, pp 175-192, 2008. (DOI).
  2. A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth. Erik Bängtsson and Björn Lund. In International Journal for Numerical Methods in Engineering, volume 75, pp 479-502, 2008. (DOI).
  3. 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. (DOI).
  4. Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems. Maya Neytcheva and Erik Bängtsson. In Electronic Transactions on Numerical Analysis, volume 29, pp 193-211, 2008.
  5. Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling. Radim Blaheta, Roman Kohut, Maya Neytcheva, and Jirí Starý. In Mathematics and Computers in Simulation, volume 76, pp 18-27, 2007. (DOI).
  6. Obtaining the bidirectional transmittance distribution function of isotropically scattering materials using an integrating sphere. Jacob C. Jonsson and Henrik Brandén. In Optics Communications, volume 277, pp 228-236, 2007. (DOI).
  7. Sparse generalized Fourier transforms. Krister Åhlander and Daniel Henriksson. In BIT Numerical Mathematics, volume 47, pp 213-237, 2007. (DOI).
  8. 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. (DOI).
  9. An agglomerate multilevel preconditioner for linear isostasy saddle point problems. Erik Bängtsson and Maya Neytcheva. In Large-Scale Scientific Computing, volume 3743 of Lecture Notes in Computer Science, pp 113-120, Springer-Verlag, Berlin, 2006. (DOI).
  10. A flexible solver of the Helmholtz equation for layered media. Kurt Otto and Elisabeth Larsson. In Proc. ECCOMAS CFD Conference 2006, p 8, Tech. Univ. Delft, The Netherlands, 2006. (fulltext).
  11. 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. (DOI).
  12. OpenMP versus MPI for PDE solvers based on regular sparse numerical operators. Markus Nordén, Sverker Holmgren, and Michael Thuné. In Future generations computer systems, volume 22, pp 194-203, 2006. (DOI).
  13. Eigenvalues for equivariant matrices. Krister Åhlander and Hans Munthe-Kaas. In Journal of Computational and Applied Mathematics, volume 192, pp 89-99, 2006. (DOI).
  14. Aggregation-based multilevel preconditioning of non-conforming FEM elasticity problems. Radim Blaheta, Svetozar Margenov, and Maya Neytcheva. In Applied Parallel Computing: State of the Art in Scientific Computing, volume 3732 of Lecture Notes in Computer Science, pp 847-856, Springer-Verlag, Berlin, 2006. (DOI).
  15. Eigenvalue estimates for preconditioned saddle point matrices. Owe Axelsson and Maya Neytcheva. In Numerical Linear Algebra with Applications, volume 13, pp 339-360, 2006. (DOI).
  16. Mesh generation for symmetrical geometries. Krister Åhlander. In Computational Science and its Applications, volume 3480 of Lecture Notes in Computer Science, pp 657-668, Springer-Verlag, Berlin, 2005. (DOI).
  17. Applications of the generalized Fourier transform in numerical linear algebra. Krister Åhlander and Hans Munthe-Kaas. In BIT Numerical Mathematics, volume 45, pp 819-850, 2005. (DOI).
  18. Preconditioners based on fundamental solutions. Henrik Brandén and Per Sundqvist. In BIT Numerical Mathematics, volume 45, pp 481-494, 2005. (DOI).
  19. Algebraic preconditioning versus direct solvers for dense linear systems as arising in crack propagation problems. Erik Bängtsson and Maya Neytcheva. In Communications in Numerical Methods in Engineering, volume 21, pp 73-81, 2005. (DOI).
  20. Numerical simulations of glacial rebound using preconditioned iterative solution methods. Erik Bängtsson and Maya Neytcheva. In Applications of Mathematics, volume 50, pp 183-201, 2005. (DOI).
  21. Robust optimal multilevel preconditioners for non-conforming finite element systems. Radim Blaheta, Svetozar Margenov, and Maya Neytcheva. In Numerical Linear Algebra with Applications, volume 12, pp 495-514, 2005. (DOI).
  22. Semi-Toeplitz preconditioning for the linearized Navier-Stokes equations. Samuel Sundberg and Lina von Sydow. In BIT Numerical Mathematics, volume 44, pp 307-341, 2004. (DOI).
  23. Preconditioned implicit solution of linear hyperbolic equations with adaptivity. Per Lötstedt, Alison Ramage, Lina von Sydow, and Stefan Söderberg. In Journal of Computational and Applied Mathematics, volume 170, pp 269-289, 2004. (DOI).
  24. An algorithm for computing fundamental solutions of difference operators. Henrik Brandén and Per Sundqvist. In Numerical Algorithms, volume 36, pp 331-343, 2004. (DOI).
  25. Uniform estimate of the constant in the strengthened CBS inequality for anisotropic non-conforming FEM systems. Radim Blaheta, Svetozar Margenov, and Maya Neytcheva. In Numerical Linear Algebra with Applications, volume 11, pp 309-326, 2004. (DOI).
  26. Robust preconditioners for saddle point problems. Owe Axelsson and Maya Neytcheva. In Numerical Methods and Applications, volume 2542 of Lecture Notes in Computer Science, pp 158-166, Springer-Verlag, Berlin, 2003. (DOI).
  27. Shape optimization of an acoustic horn. Erik Bängtsson, Daniel Noreland, and Martin Berggren. In Computer Methods in Applied Mechanics and Engineering, volume 192, pp 1533-1571, 2003. (DOI).
  28. Multifrequency shape optimization of an acoustic horn. Martin Berggren, Erik Bängtsson, and Daniel Noreland. In Computational Fluid and Solid Mechanics: 2003, pp 2204-2207, Elsevier Science, 2003. (DOI).
  29. Helmholtz and parabolic equation solutions to a benchmark problem in ocean acoustics. Elisabeth Larsson and Leif Abrahamsson. In Journal of Acoustical Society of America, volume 113, pp 2446-2454, 2003. (DOI).
  30. Parallel solution of the Helmholtz equation in a multilayer domain. Elisabeth Larsson and Sverker Holmgren. In BIT Numerical Mathematics, volume 43, pp 387-411, 2003. (DOI).
  31. Convergence acceleration for the steady-state Euler equations. Henrik Brandén and Sverker Holmgren. In Computers & Fluids, volume 32, pp 1075-1092, 2003. (DOI).
  32. Preconditioning methods for linear systems arising in constrained optimization problems. Owe Axelsson and Maya Neytcheva. In Numerical Linear Algebra with Applications, volume 10, pp 3-31, 2003. (DOI).
  33. Implicit solution of hyperbolic equations with space-time adaptivity. Per Lötstedt, Stefan Söderberg, Alison Ramage, and Lina Hemmingsson-Frändén. In BIT Numerical Mathematics, volume 42, pp 134-158, 2002. (DOI).
  34. Deferred correction in space and time. Bertil Gustafsson and Lina Hemmingsson-Frändén. In Journal of Scientific Computing, volume 17, pp 541-550, 2002. (DOI).
  35. A nearly optimal preconditioner for the Navier-Stokes equations. Lina Hemmingsson-Frändén and Andrew Wathen. In Numerical Linear Algebra with Applications, volume 8, pp 229-243, 2001. (DOI).
  36. High order methods and domain decomposition. Bertil Gustafsson and Lina Hemmingsson-Frändén. In Absorbing Boundaries and Layers, Domain Decomposition Methods: Applications to Large Scale Computers, pp 341-347, Nova Science Publishers, Huntington, NY, 2001.
  37. Object-oriented modeling of parallel PDE solvers. Michael Thuné, Krister Åhlander, Malin Ljungberg, Markus Nordén, Kurt Otto, and Jarmo Rantakokko. In The Architecture of Scientific Software, pp 159-174, Kluwer Academic Publishers, Norwell, MA, 2001.
  38. Implicit high-order difference methods and domain decomposition for hyperbolic problems. Bertil Gustafsson and Lina Hemmingsson-Frändén. In Applied Numerical Mathematics, volume 33, pp 493-500, 2000. (DOI).
  39. 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. (DOI).
  40. Convergence acceleration for the Euler equations using a parallel semi-Toeplitz preconditioner. Andreas Kähäri and Samuel Sundberg. In Euro-Par'99: Parallel Processing, volume 1685 of Lecture Notes in Computer Science, pp 1124-1127, Springer-Verlag, Berlin, 1999. (DOI).
  41. A domain decomposition method for the Helmholtz equation in a multilayer domain. Elisabeth Larsson. In SIAM Journal on Scientific Computing, volume 20, pp 1713-1731, 1999. (DOI).
  42. Iterative solution of the Helmholtz equation by a fourth-order method. Kurt Otto. In suppl, volume 40:1 of Bollettino di Geofisica Teorica ed Applicata, pp 104-105, OGS, Trieste, Italy, 1999.
  43. A fast domain decomposition high order Poisson solver. Bertil Gustafsson and Lina Hemmingsson-Frändén. In Journal of Scientific Computing, volume 14, pp 223-243, 1999. (DOI).
  44. Iterative solution of the Helmholtz equation by a second-order method. Kurt Otto and Elisabeth Larsson. In SIAM Journal on Matrix Analysis and Applications, volume 21, pp 209-229, 1999. (DOI).
  45. Convergence acceleration for hyperbolic systems using semicirculant approximations. Henrik Brandén and Sverker Holmgren. In Journal of Scientific Computing, volume 14, pp 357-393, 1999. (DOI).
  46. A new parallel preconditioner for the Euler equations. Lina Hemmingsson and Andreas Kähäri. In Applied Parallel Computing: Large Scale Scientific and Industrial Problems, volume 1541 of Lecture Notes in Computer Science, pp 230-238, Springer-Verlag, Berlin, 1998. (DOI).
  47. A semi-circulant preconditioner for the convection-diffusion equation. Lina Hemmingsson. In Numerische Mathematik, volume 81, pp 211-248, 1998. (DOI).
  48. 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. (DOI).
  49. 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. (DOI).
  50. Object-oriented software tools for the construction of preconditioners. Eva Mossberg, Kurt Otto, and Michael Thuné. In Scientific Programming, volume 6, pp 285-295, 1997. (External link).
  51. Object-Oriented Construction of Parallel PDE Solvers. Michael Thuné, Eva Mossberg, Peter Olsson, Jarmo Rantakokko, Krister Åhlander, and Kurt Otto. In Modern Software Tools for Scientific Computing, pp 203-226, Birkhäuser, Boston, MA, 1997.
  52. A domain decomposition method for almost incompressible flow. Lina Hemmingsson. In Computers & Fluids, volume 25, pp 771-789, 1996. (DOI).
  53. Toeplitz preconditioners with block structure for first-order PDEs. Lina Hemmingsson. In Numerical Linear Algebra with Applications, volume 3, pp 21-44, 1996. (DOI).
  54. Analysis of semi-Toeplitz preconditioners for first-order PDEs. Lina Hemmingsson and Kurt Otto. In SIAM Journal on Scientific Computing, volume 17, pp 47-64, 1996. (DOI).
  55. Analysis of preconditioners for hyperbolic partial differential equations. Kurt Otto. In SIAM Journal on Numerical Analysis, volume 33, pp 2131-2165, 1996. (DOI).
  56. 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. (DOI).
  57. A domain decomposition method for hyperbolic problems in 2D. Lina Hemmingsson. In Parallel Computational Fluid Dynamics: New Trends and Advances, pp 373-380, Elsevier Science, Amsterdam, The Netherlands, 1995. (DOI).
  58. A domain decomposition method for first-order PDEs. Lina Hemmingsson. In SIAM Journal on Matrix Analysis and Applications, volume 16, pp 1241-1267, 1995. (DOI).
  59. A fast modified sine transform for solving block-tridiagonal systems with Toeplitz blocks. Lina Hemmingsson. In Numerical Algorithms, volume 7, pp 375-389, 1994. (DOI).
  60. 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. (DOI).
  61. 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. (DOI).
  62. Parallelization of iterative solution methods and preconditioners for non-diagonally dominant, block-tridiagonal systems of equations. Sverker Holmgren, Kurt Otto, and Lina Frändén. In Hypercube and Distributed Computers, pp 353-354, Elsevier Science, Amsterdam, The Netherlands, 1989.
  63. Stability of a Runge–Kutta method for the Euler equations on a substructured domain. Kurt Otto and Michael Thuné. In SIAM Journal on Scientific and Statistical Computing, volume 10, pp 154-174, 1989. (DOI).