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Mossberg, Eva

Open this publication in new window or tab >>The Q-toothpick Cellular Automaton### Edvardsson, Elisabet

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_some",{id:"formSmash:j_idt184:0:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_otherAuthors",{id:"formSmash:j_idt184:0:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_otherAuthors",multiple:true}); 2019 (English)In: JOURNAL OF CELLULAR AUTOMATA, ISSN 1557-5969, Vol. 14, no 1-2, p. 51-68Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Old City Publishing, 2019
##### National Category

Mathematics
##### Research subject

Mathematics
##### Identifiers

urn:nbn:se:kau:diva-71816 (URN)000462875500003 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt359",{id:"formSmash:j_idt184:0:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt359",multiple:true});
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Available from: 2019-04-11 Created: 2019-04-11 Last updated: 2019-04-11Bibliographically approved

Stockholms universitet.

Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).

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.

Open this publication in new window or tab >>An exploratory approach to engineering mathematics using GeoGebra### Brunström, Mats

### Mossberg, Eva

### Vinerean-Bernhoff, Mirela

Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_some",{id:"formSmash:j_idt184:1:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_otherAuthors",{id:"formSmash:j_idt184:1:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_otherAuthors",multiple:true}); 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
#####

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#####

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Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2019-10-14Bibliographically approved

Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).

Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).

Open this publication in new window or tab >>A Note on Parameter Estimation in Lamperti Transformed Fractional Ornstein-Uhlenbeck Processes### Mossberg, Magnus

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_some",{id:"formSmash:j_idt184:2:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_otherAuthors",{id:"formSmash:j_idt184:2:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_otherAuthors",multiple:true}); 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
#####

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#####

##### Note

Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

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Available from: 2012-07-31 Created: 2012-07-31 Last updated: 2018-07-16Bibliographically approvedOpen this publication in new window or tab >>Long-term fading channel estimation from sample covariances### Mossberg, Magnus

### Larsson, Erik K.

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_some",{id:"formSmash:j_idt184:3:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_otherAuthors",{id:"formSmash:j_idt184:3:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_otherAuthors",multiple:true}); 2009 (English)In: Automatica, ISSN 0005-1098, E-ISSN 1873-2836, Vol. 45, no 5, p. 1126-1133Article in journal (Refereed) Published
##### Abstract [en]

##### 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)
#####

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Available from: 2012-02-08 Created: 2012-02-08 Last updated: 2017-12-07Bibliographically approved

Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.

Ericsson Research, Sweden.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

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.

Open this publication in new window or tab >>Deterministic and stochastic methods for nonlinear Landau-Fokker-Planck kinetic equations with applications to plasma physics### Potapenko, I.

### Bobylev, Alexander

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_some",{id:"formSmash:j_idt184:4:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_otherAuthors",{id:"formSmash:j_idt184:4:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_otherAuthors",multiple:true}); 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)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt359",{id:"formSmash:j_idt184:4:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt359",multiple:true});
#####

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PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt371",{id:"formSmash:j_idt184:4:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt371",multiple:true});
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Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Open this publication in new window or tab >>On some properties of linear and linearized Boltzmann collision operators for hard spheres### Bobylev, Alexander V.

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_some",{id:"formSmash:j_idt184:5:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_otherAuthors",{id:"formSmash:j_idt184:5:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_otherAuthors",multiple:true}); 2008 (English)In: Kinetic and related models, ISSN 1937-5093, Vol. 1, no 4, p. 521-555Article in journal (Refereed) Published
##### Abstract [en]

##### 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)
#####

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Available from: 2008-09-10 Created: 2008-09-10 Last updated: 2013-10-30Bibliographically approved

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

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.

Open this publication in new window or tab >>Some numerical and analytical methods for equations of wave propagation and kinetic theory### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_otherAuthors",{id:"formSmash:j_idt184:6:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_otherAuthors",multiple:true}); 2008 (English)Doctoral thesis, comprehensive summary (Other scientific)
##### Abstract [en]

##### 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

### Russo, Giovanni

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt359",{id:"formSmash:j_idt184:6:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt359",multiple:true});
##### Supervisors

### Bobylev, Alexander

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Available from: 2008-09-10 Created: 2008-09-10 Last updated: 2011-12-19Bibliographically approved

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

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.

Università di Catania, Italien.

Karlstad University, Faculty of Technology and Science.

Open this publication in new window or tab >>Some numerical and analytical methods for equations of wave propagation and kinetic theory### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_some",{id:"formSmash:j_idt184:7:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_otherAuthors",{id:"formSmash:j_idt184:7:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_otherAuthors",multiple:true}); 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)
#####

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Available from: 2013-01-22 Created: 2013-01-22 Last updated: 2013-01-22

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Open this publication in new window or tab >>DSMC methods for the Landau equation and for the Boltzmann equation with long range forces### Bobylev, Alexander

### Mossberg, Eva

### Potapenko, I.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_some",{id:"formSmash:j_idt184:8:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_otherAuthors",{id:"formSmash:j_idt184:8:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_otherAuthors",multiple:true}); 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
#####

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Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.

Open this publication in new window or tab >>Estimation for power control of large-scale fading channels from irregularly sampled noisy data### Mossberg, Magnus

### Larsson, E. K.

### Mossberg, Eva

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_some",{id:"formSmash:j_idt184:9:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_otherAuthors",{id:"formSmash:j_idt184:9:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_otherAuthors",multiple:true}); 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
#####

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Available from: 2013-01-21 Created: 2013-01-21 Last updated: 2013-01-21

Karlstad University, Faculty of Technology and Science, Department of Physics and Electrical Engineering.

Karlstad University, Faculty of Technology and Science, Department of Mathematics.