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Träfflista för sökning "hsv:(NATURVETENSKAP) hsv:(Matematik) hsv:(Beräkningsmatematik) srt2:(1990-1994)"

Sökning: hsv:(NATURVETENSKAP) hsv:(Matematik) hsv:(Beräkningsmatematik) > (1990-1994)

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1.
  • Berbyuk, Viktor, 1953 (författare)
  • On complete controllability of linear nonstationary systems
  • 1993
  • Ingår i: Journal of Soviet Mathematics. - 0090-4104. ; 67:2, s. 2973-2975
  • Tidskriftsartikel (refereegranskat)abstract
    • The concept of controllability is connected with the transfer of a dynamic system from one state to another by means of a control. An important problem in the theory of control systems is the search for necessary and sufficient conditions for complete controllability of dynamic systems. By using of the first integrals of the equations of unperturbed motion the necessary and sufficient conditions for complete controllability of linear nonstationary dynamic systems have been proposed.
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2.
  • Diehl, Stefan, et al. (författare)
  • Analytical and numerical description of the settling process in the activated sludge operation
  • 1990
  • Ingår i: Instrumentation, control, and automation of water and wastewater treatment and transport systems : proceedings of the 5th IAWPRC Workshop held in Yokohama and Kyoto, Japan, 26 July-3 August 1990. - 0080407765 ; , s. 471-478
  • Konferensbidrag (refereegranskat)abstract
    • The secondary clarifier or settler is crucial for the whole activated sludge operation. Consequently, it is important to obtain a reliable analytical model as well as a useful numerical method, which can be used in the automatic control of the settling process. Discontinuities (shocks) appear physically, and an analytical description as well as a stable numerical algorithm must be able to handle these discontinuities. A model based on the Kynch theory of sedimentation is used, where the settling flux is a function only of the local concentration and is assumed to have one inflexion point. For such non-convex flux functions, the settling process is qualitatively the same, independent of further assumptions on the shapes of the settling functions. Using the theory of nonlinear conservation laws, the main results obtained are: how to calculate transient and asymptotic behavior; how to control the concentration profile of the settler, in particular the depth of the sludge blanket, for a given load; and, a numerical algorithm which automatically preserves shocks and gives the physically correct solution according to the analytical treatment. The algorithm can be applied on any flux function (with more than one inflexion point).
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6.
  • Asadzadeh, Mohammad, 1952, et al. (författare)
  • On adaptive finite element methods for Fredholm integral equations of the second kind
  • 1994
  • Ingår i: SIAM Journal on Numerical Analysis. ; 31:3, s. 831-855
  • Tidskriftsartikel (refereegranskat)abstract
    • A posteriors and a priori error estimates are derived for a finite element discretization of a Fredholm integral equation of the second kind. A reliable and efficient adaptive algorithm is then designed for a specific computational goal with applications to potential problems. The reliability of the algorithm is guaranteed by the a posteriors error estimate and the efficiency follows from the a priori error estimate, which shows that the a posteriors error bound is sharp
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  • Asadzadeh, Mohammad, 1952, et al. (författare)
  • The discrete ordinates method for the neutron transport equation in an infinite cylindrical domain
  • 1992
  • Ingår i: Mathematical Models and Methods in Applied Science. ; 2:3, s. 317-338
  • Tidskriftsartikel (refereegranskat)abstract
    • We prove a regularity result for a Fredholm integral equation with weakly singular kernel, arising in connection with the neutron transport equation in an infinite cylindrical domain. The theorem states that the solution has almost two derivatives in L1, and is proved using Besov space techniques. This result is applied in the error analysis of the discrete ordinates method for the numerical solution of the neutron transport equation. We derive an error estimate in the L1-norm for the scalar flux, and as a consequence, we obtain an error bound for the critical eigenvalue.
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10.
  • Barrera, Tony, et al. (författare)
  • An integer based square root algorithm
  • 1993
  • Ingår i: BIT Numerical Mathematics. - 0006-3835 .- 1572-9125. ; 33, s. 254-261
  • Tidskriftsartikel (refereegranskat)
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