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  • 201.
    Thuné, Michael
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    The partitioning problem for a class of data parallel algorithms1992In: Parallel Computing, ISSN 0167-8191, E-ISSN 1872-7336, Vol. 18, p. 867-878Article in journal (Refereed)
  • 202.
    Thuné, Michael
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Mossberg, Eva
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Olsson, Peter
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Rantakokko, Jarmo
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Åhlander, Krister
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Otto, Kurt
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Object-Oriented Construction of Parallel PDE Solvers1997In: Modern Software Tools for Scientific Computing, Boston, MA: Birkhäuser , 1997, p. 203-226Chapter in book (Refereed)
  • 203.
    Thuné, Michael
    et al.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Åhlander, Krister
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Towards an expressive language for PDE solvers1996In: Programming Languages and Systems, Berlin: Springer-Verlag , 1996, p. 373-386Conference paper (Refereed)
  • 204.
    Varah, James M.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Maximum norm stability of difference approximations to the mixed initial boundary-value problem for the heat equation1970In: Mathematics of Computation, ISSN 0025-5718, E-ISSN 1088-6842, Vol. 24, no 109, p. 31-44Article in journal (Refereed)
  • 205.
    Wahlund, Per
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Computation of the maximum flow rate of a perfect gas through a slit in a plane wall1986In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 14, p. 253-265Article in journal (Refereed)
  • 206.
    Waldén, Johan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Spectral analysis of the differential operator in wavelet bases1995In: Applied and Computational Harmonic Analysis, ISSN 1063-5203, E-ISSN 1096-603X, Vol. 2, p. 382-391Article in journal (Refereed)
  • 207.
    Waldén, Johan
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Wavelet Solvers for Hyperbolic PDEs1996Doctoral thesis, comprehensive summary (Other academic)
  • 208.
    Widlund, Olof B.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    A note on unconditionally stable linear multistep methods1967In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 7, p. 65-70Article in journal (Refereed)
  • 209.
    Widlund, Olof B.
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations1967In: IBM Journal of Research and Development, ISSN 0018-8646, E-ISSN 2151-8556, Vol. 11, p. 239-243Article in journal (Refereed)
  • 210.
    Åhlander, Krister
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    An object-oriented approach to construct PDE solvers1996Licentiate thesis, monograph (Other academic)
  • 211.
    Åhlander, Krister
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    An Object-Oriented Framework for PDE Solvers1999Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    The issue of how to develop reusable software in scientific computing is addressed. With object-oriented analysis and design, an extendable set of collaborating objects - a framework named COMPOSE - is suggested in the area of "PDE solvers", i.e., programs that numerically solve partial differential equations (PDEs).

    Objects have several advantages. First, they represent abstractions from the problem domain, here the field of scientific computing. Second, with careful object-oriented analysis and design, these objects can be reused in different contexts. Third, the resulting programs are very flexible, and it is possible to change the mathematical problem or the numerical method, by only replacing a few objects. Fourth, new kinds of objects can be created via the object-oriented concept of inheritance. This is useful, e.g., when the numerical simulation of a new kind of PDE is addressed.

    COMPOSE handles finite differences on three-dimensional overlapping grids, a variety of time stepping methods, and several types of PDEs, including hyperbolic, parabolic, and elliptic PDEs. In particular, COMPOSE offers a flexible coupling of PDEs, which increases reusability and encourages development of components separately. To this end, COMPOSE also supports a debugging technique for verification of new numerical components.

    As an application of COMPOSE, the incompressible Navier-Stokes equations are solved in a two-dimensional domain. Comparisons with another fluid solver, developed in a more traditional way, show that solvers written with COMPOSE are competitive with respect to performance. In addition, they have a higher degree of flexibility and reusability.

  • 212. Ålund, Anders
    et al.
    Lötstedt, Per
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Sillén, Mattias
    Parallel single grid and multigrid solution of industrial compressible flow problems1997In: Computers & Fluids, ISSN 0045-7930, E-ISSN 1879-0747, Vol. 26, p. 775-791Article in journal (Refereed)
  • 213. Ålund, Anders
    et al.
    Lötstedt, Per
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
    Sillén, Mattias
    Parallel solution of industrial compressible flow problems with static load balancing1997In: Parallel Computational Fluid Dynamics: Algorithms and Results Using Advanced Computers, Amsterdam, The Netherlands: Elsevier Science , 1997, p. 336-343Conference paper (Refereed)
2345 201 - 213 of 213
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