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Sökning: hsv:(NATURVETENSKAP) hsv:(Matematik) hsv:(Beräkningsmatematik) > Johnson Claes

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  • Eriksson, Kenneth, 1952, et al. (författare)
  • Explicit time-stepping for stiff ODES
  • 2003
  • Ingår i: SIAM Journal on Scientific Computing. - 1064-8275 .- 1095-7197. ; 25:4, s. 1142-1157
  • Tidskriftsartikel (refereegranskat)abstract
    • We present a new strategy for solving stiff ODEs with explicit methods. By adaptively taking a small number of stabilizing small explicit time steps when necessary, a stiff ODE system can be stabilized enough to allow for time steps much larger than what is indicated by classical stability analysis. For many stiff problems the cost of the stabilizing small time steps is small, so the improvement is large. We illustrate the technique on a number of well-known stiff test problems.
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  • Hoffman, Johan, 1974, et al. (författare)
  • Mathematics and Computation
  • 2004
  • Ingår i: Stockholm Intelligencer: Fourth European Congress of Mathematics.
  • Konferensbidrag (övrigt vetenskapligt/konstnärligt)
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  • Hoffman, Johan, et al. (författare)
  • Subgrid modeling for convection-diffusion-reaction in one space dimension using a Haar Multiresolution analysis
  • 2005
  • Ingår i: Computer Methods in Applied Mechanics and Engineering. - : Elsevier BV. - 0045-7825 .- 1879-2138. ; 194:1, s. 19-44
  • Tidskriftsartikel (refereegranskat)abstract
    • In this paper we propose and study a subgrid model for linear convection-diffusion-reaction equations with fractal rough coefficients. The subgrid model is based on scale extrapolation of a modeling residual from coarser scales using a computed solution on a finest scale as reference. We show in experiments that a solution with subgrid model on a scale h in most cases corresponds to a solution without subgrid model on a scale less than h/4. We also present error estimates for the modeling error in terms of modeling residuals.
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  • Jansson, Johan, 1978, et al. (författare)
  • Computational modeling of dynamical systems
  • 2005
  • Ingår i: Mathematical Models and Methods in Applied Sciences. - 0218-2025. ; 15:3, s. 471-481
  • Tidskriftsartikel (refereegranskat)abstract
    • In this short note, we discuss the basic approach to computational modeling of dynamical systems. If a dynamical system contains multiple time scales, ranging from very fast to slow, computational solution of the dynamical system can be very costly. By resolving the fast time scales in a short time simulation, a model for the effect of the small time scale variation on large time scales can be determined, making solution possible on a long time interval. This process of computational modeling can be completely automated. Two examples are presented, including a simple model problem oscillating at a time scale of 10-9 computed over the time interval [0, 100], and a lattice consisting of large and small point masses. © World Scientific Publishing Company.
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