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Mossberg, Eva
Publications (10 of 19) Show all publications
Edvardsson, E. & Mossberg, E. (2019). The Q-toothpick Cellular Automaton. JOURNAL OF CELLULAR AUTOMATA, 14(1-2), 51-68
Open this publication in new window or tab >>The Q-toothpick Cellular Automaton
2019 (English)In: JOURNAL OF CELLULAR AUTOMATA, ISSN 1557-5969, Vol. 14, no 1-2, p. 51-68Article in journal (Refereed) Published
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.

Place, publisher, year, edition, pages
Old City Publishing, 2019
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-71816 (URN)000462875500003 ()
Available from: 2019-04-11 Created: 2019-04-11 Last updated: 2019-04-11Bibliographically approved
Brunström, M., Mossberg, E. & Vinerean-Bernhoff, M. (2016). An exploratory approach to engineering mathematics using GeoGebra. In: : . Paper presented at The 18th SEFI Mathematics Working Group seminar, Göteborg, 27-29 juni, 2016.
Open this publication in new window or tab >>An exploratory approach to engineering mathematics using GeoGebra
2016 (English)Conference paper, Poster (with or without abstract) (Other academic)
National Category
Mathematics
Identifiers
urn:nbn:se:kau:diva-48211 (URN)
Conference
The 18th SEFI Mathematics Working Group seminar, Göteborg, 27-29 juni, 2016
Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2019-10-14Bibliographically approved
Mossberg, M. & Mossberg, E. (2012). A Note on Parameter Estimation in Lamperti Transformed Fractional Ornstein-Uhlenbeck Processes. In: Kinnaert, Michel (Ed.), IFAC Proceedings Volumes: . Paper presented at 16th IFAC Symp. on System Identification, Brussels Meeting Centre, Brussels, Belgium, July 11-13, 2012 (pp. 1067-1072). Elsevier, 45/16
Open this publication in new window or tab >>A Note on Parameter Estimation in Lamperti Transformed Fractional Ornstein-Uhlenbeck Processes
2012 (English)In: IFAC Proceedings Volumes / [ed] Kinnaert, Michel, Elsevier, 2012, Vol. 45/16, p. 1067-1072Conference paper, Published paper (Refereed)
Place, publisher, year, edition, pages
Elsevier, 2012
Series
System Identification
National Category
Signal Processing Control Engineering Probability Theory and Statistics
Identifiers
urn:nbn:se:kau:diva-14417 (URN)10.3182/20120711-3-BE-2027.00202 (DOI)
Conference
16th IFAC Symp. on System Identification, Brussels Meeting Centre, Brussels, Belgium, July 11-13, 2012
Note

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Available from: 2012-07-31 Created: 2012-07-31 Last updated: 2018-07-16Bibliographically approved
Mossberg, M., Larsson, E. K. & Mossberg, E. (2009). Long-term fading channel estimation from sample covariances. Automatica, 45(5), 1126-1133
Open this publication in new window or tab >>Long-term fading channel estimation from sample covariances
2009 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 45, no 5, p. 1126-1133Article in journal (Refereed) Published
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.

Keywords
Estimation theory, Fading channel, Stochastic differential equation, Covariance function, Statistical analysis
National Category
Mathematics Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics; Electrical Engineering
Identifiers
urn:nbn:se:kau:diva-10988 (URN)10.1016/j.automatica.2008.12.013 (DOI)
Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2017-12-07Bibliographically approved
Potapenko, I., Bobylev, A. & Mossberg, E. (2008). Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics. Transport Theory and Statistical Physics, 37:113-170
Open this publication in new window or tab >>Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics
2008 (English)In: Transport Theory and Statistical Physics, 37:113-170Article in journal (Refereed)
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-18273 (URN)
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
Bobylev, A. V. & Mossberg, E. (2008). On some properties of linear and linearized Boltzmann collision operators for hard spheres. Kinetic and related models, 1(4), 521-555
Open this publication in new window or tab >>On some properties of linear and linearized Boltzmann collision operators for hard spheres
2008 (English)In: Kinetic and related models, ISSN 1937-5093, Vol. 1, no 4, p. 521-555Article in journal (Refereed) Published
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.

Place, publisher, year, edition, pages
Springfield, MO: American Institute of Mathematical Sciences, 2008
National Category
Natural Sciences
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-1847 (URN)10.3934/krm.2008.1.521 (DOI)
Available from: 2008-09-10 Created: 2008-09-10 Last updated: 2013-10-30Bibliographically approved
Mossberg, E. (2008). Some numerical and analytical methods for equations of wave propagation and kinetic theory. (Doctoral dissertation). Karlstad: Karlstads universitet
Open this publication in new window or tab >>Some numerical and analytical methods for equations of wave propagation and kinetic theory
2008 (English)Doctoral 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.

 

Place, publisher, year, edition, pages
Karlstad: Karlstads universitet, 2008. p. 21
Series
Karlstad University Studies, ISSN 1403-8099 ; 2008:33
Keywords
wave propagation, finite difference metods high order methods, Landau-Fokker-Planck equation, Monte-Carlo simulations, Boltzmann equation, hard sphere model, eigenvalue problem
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-1848 (URN)978-91-7063-192-4 (ISBN)
Public defence
2008-10-04, 21A 342, Karlstads universitet, Karlstad, 13:15 (English)
Opponent
Supervisors
Available from: 2008-09-10 Created: 2008-09-10 Last updated: 2011-12-19Bibliographically approved
Mossberg, E. (2008). Some numerical and analytical methods for equations of wave propagation and kinetic theory. (Doctoral dissertation). Karlstad University Studies
Open this publication in new window or tab >>Some numerical and analytical methods for equations of wave propagation and kinetic theory
2008 (English)Doctoral thesis, monograph (Other academic)
Place, publisher, year, edition, pages
Karlstad University Studies, 2008
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-23706 (URN)
Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22
Bobylev, A., Mossberg, E. & Potapenko, I. (2007). DSMC methods for the Landau equation and for the Boltzmann equation with long range forces. Paper presented at Proc. 25th International Symposium on Rarefied Gas Dynamics, St. Petersburg, Russia. Paper presented at Proc. 25th International Symposium on Rarefied Gas Dynamics, St. Petersburg, Russia.
Open this publication in new window or tab >>DSMC methods for the Landau equation and for the Boltzmann equation with long range forces
2007 (English)Conference paper, Published paper (Refereed)
National Category
Mathematics
Research subject
Mathematics
Identifiers
urn:nbn:se:kau:diva-18465 (URN)
Conference
Proc. 25th International Symposium on Rarefied Gas Dynamics, St. Petersburg, Russia
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
Mossberg, M., Larsson, E. K. & Mossberg, E. (2006). Estimation for power control of large-scale fading channels from irregularly sampled noisy data. Paper presented at Proc. American Control Conf., Minneapolis, MN. Paper presented at Proc. American Control Conf., Minneapolis, MN.
Open this publication in new window or tab >>Estimation for power control of large-scale fading channels from irregularly sampled noisy data
2006 (English)Conference paper, Published paper (Refereed)
National Category
Mathematics Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Mathematics; Electrical Engineering
Identifiers
urn:nbn:se:kau:diva-18981 (URN)
Conference
Proc. American Control Conf., Minneapolis, MN
Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21
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