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  • 1.
    Bobylev, Alexander
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Potapenko, I.
    DSMC methods for the Landau equation and for the Boltzmann equation with long range forces2007Conference paper (Refereed)
  • 2.
    Bobylev, Alexander V.
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    On some properties of linear and linearized Boltzmann collision operators for hard spheres2008In: Kinetic and related models, ISSN 1937-5093, Vol. 1, no 4, p. 521-555Article in journal (Refereed)
    Abstract [en]

    The linear and the linearized Boltzmann collision operators are studied in the case of hard spheres. The equations for the integral operators are reduced to ordinary differential equations. From these equations, we show that the collision operators have discrete eigenvalues, and we demonstrate how to compute them. We also use the differential equations to investigate asymptotics for the linearized collision operator.

  • 3.
    Brunström, Mats
    et al.
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).
    Mossberg, Eva
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).
    Vinerean-Bernhoff, Mirela
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).
    An exploratory approach to engineering mathematics using GeoGebra2016Conference paper (Other academic)
  • 4.
    Edvardsson, Elisabet
    et al.
    Stockholms universitet.
    Mossberg, Eva
    Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).
    The Q-toothpick Cellular Automaton2019In: JOURNAL OF CELLULAR AUTOMATA, ISSN 1557-5969, Vol. 14, no 1-2, p. 51-68Article in journal (Refereed)
    Abstract [en]

    In a toothpick-type cellular automaton, a shape is drawn, and then at each time-step copies of the same shape are attached at certain predetermined places. The resulting pattern exhibits unexpected growth properties. We investigate the fractal-like large-scale behavior of the Q-toothpick cellular automaton, which is built from quarter circles, with starting configurations consisting of an arbitrary number of quarter circles. In this paper, we prove that infinitely long barriers of quarter circles arise in the pattern, and divide it into non-interacting triangular parts. Furthermore, we show that the behavior of these triangular parts is described by the one-dimensional elementary cellular automaton rule 18 and is related to the Sierpinski triangle.

  • 5. Gustafsson, B.
    et al.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Time compact high order difference methods for wave propagation2004In: SIAM Journal on Scientific Computing 26(1):259-271Article in journal (Refereed)
  • 6.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Higher order finite difference methods for wave propagation problems2002Licentiate thesis, monograph (Other academic)
  • 7.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Some numerical and analytical methods for equations of wave propagation and kinetic theory2008Doctoral thesis, comprehensive summary (Other scientific)
    Abstract [en]

    This thesis consists of two different parts, related to two different fields in mathematical physics: wave propagation and kinetic theory of gases. Various mathematical and computational problems for equations from these areas are treated.

     

    The first part is devoted to high order finite difference methods for the Helmholtz equation and the wave equation. Compact schemes with high order accuracy are obtained from an investigation of the function derivatives in the truncation error. With the help of the equation itself, it is possible to transfer high order derivatives to lower order or to transfer time derivatives to space derivatives. For the Helmholtz equation, a compact scheme based on this principle is compared to standard schemes and to deferred correction schemes, and the characteristics of the errors for the different methods are demonstrated and discussed. For the wave equation, a finite difference scheme with fourth order accuracy in both space and time is constructed and applied to a problem in discontinuous media.

     

    The second part addresses some problems related to kinetic equations. A direct simulation Monte-Carlo method is constructed for the Landau-Fokker-Planck equation, and numerical tests are performed to verify the accuracy of the algorithm. A formal derivation of the method from the Boltzmann equation with grazing collisions is performed. The linear and linearized Boltzmann collision operators for the hard sphere molecular model are studied using exact reduction of integral equations to ordinary differential equations. It is demonstrated how the eigenvalues of the operators are found from these equations, and numerical values are computed. A proof of existence of non-zero discrete eigenvalues is given. The ordinary diffential equations are also used for investigation of the Chapman-Enskog distribution function with respect to its asymptotic behavior.

     

  • 8.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Some numerical and analytical methods for equations of wave propagation and kinetic theory2008Doctoral thesis, monograph (Other academic)
  • 9.
    Mossberg, Eva
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Otto, K.
    Thuné, M.
    Object-oriented software tools for the contruction of preconditioners1997In: Sci. Programming, 6(3):285-295Article in journal (Refereed)
  • 10.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Larsson, E. K.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Estimation for power control of large-scale fading channels from irregularly sampled noisy data2006Conference paper (Refereed)
  • 11.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Larsson, E. K.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Estimation of large-scale fading channels from sample covariances2006Conference paper (Refereed)
  • 12.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Larsson, Erik K.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Fast estimators for large-scale fading channels from irregularly sampled data2006In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 54, no 7, p. 2803-2808Article in journal (Refereed)
  • 13.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Larsson, Erik K.
    Ericsson Research, Sweden.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Long-term fading channel estimation from sample covariances2009In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 45, no 5, p. 1126-1133Article in journal (Refereed)
    Abstract [en]

    The power attenuation dynamics for long-term log-normal fading channels in wireless communication systems is modeled by a stochastic differential equation. Estimators for the model parameters based on sample covariances from data corrupted by discrete-time measurement noise are given. It is shown that the estimators are consistent, and variance expressions are derived and compared numerically to the Cramér–Rao bound. The estimation of the model parameters allows for the design of power control algorithms.

  • 14.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    A Note on Parameter Estimation in Lamperti Transformed Fractional Ornstein-Uhlenbeck Processes2012In: IFAC Proceedings Volumes / [ed] Kinnaert, Michel, Elsevier, 2012, Vol. 45/16, p. 1067-1072Conference paper (Refereed)
  • 15.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Estimation of parameters for signals in exponential form2003Conference paper (Refereed)
  • 16.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Identification of local oscillator noise in sampling mixers2006Conference paper (Refereed)
  • 17.
    Mossberg, Magnus
    et al.
    Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    On optimal criteria for optimal set point tracking2005Conference paper (Refereed)
  • 18. Potapenko, I.
    et al.
    Bobylev, Alexander
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics2008In: Transport Theory and Statistical Physics, 37:113-170Article in journal (Refereed)
  • 19. Thuné, M.
    et al.
    Mossberg, Eva
    Karlstad University, Faculty of Technology and Science, Department of Mathematics.
    Olsson, P.
    Rantakokko, J.
    Åhlander, K.
    Otto, K.
    Object-oriented contruction of parallel PDE solvers1997In: Modern Software Tools for Scientific Computing, 1997Chapter in book (Refereed)
1 - 19 of 19
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