oru.sePublications

Please wait ... |

Link to record
http://oru.diva-portal.org/smash/person.jsf?pid=authority-person:37318 $(function(){PrimeFaces.cw("InputTextarea","widget_formSmash_upper_j_idt122_recordDirectLink",{id:"formSmash:upper:j_idt122:recordDirectLink",widgetVar:"widget_formSmash_upper_j_idt122_recordDirectLink",autoResize:true});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt122_j_idt124",{id:"formSmash:upper:j_idt122:j_idt124",widgetVar:"widget_formSmash_upper_j_idt122_j_idt124",target:"formSmash:upper:j_idt122:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Permanent link

Direct link

Ögren, Magnusorcid.org/0000-0002-2630-7479

Open this publication in new window or tab >>Collective dynamics of Fermi-Bose mixtures with an oscillating scattering length### Abdullaev, Fatkhulla

### Ögren, Magnus

### Sørensen, Mads-Peter

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: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 99, no 3, article id 033614Article in journal (Refereed) Published
##### Abstract [en]

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

American Physical Society, 2019
##### National Category

Atom and Molecular Physics and Optics
##### Research subject

Physics
##### Identifiers

urn:nbn:se:oru:diva-73269 (URN)10.1103/PhysRevA.99.033614 (DOI)000461899100005 ()2-s2.0-85063301819 (Scopus ID)
#####

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});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt365",{id:"formSmash:j_idt184:0:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt371",{id:"formSmash:j_idt184:0:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt371",multiple:true});
#####

##### Note

Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent, Uzbekistan; CNH, Universidade Federal do ABC, Santo André, Brazil.

Örebro University, School of Science and Technology. Nano Science Center, Department of Chemistry, University of Copenhagen, København, Denmark.

Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark.

Collective oscillations of superfluid mixtures of ultra cold fermionic and bosonic atoms are investigated while varying the fermion-boson scattering length. We study the dynamics with respect to excited center of mass modes and breathing modes in the mixture. Parametric resonances are also analyzed when the scattering length varies periodically in time, by comparing partial differential equation (PDE) models and ordinary differential equation (ODE) models for the dynamics. An application to the recent experiment with fermionic Li-6 and bosonic Li-7 atoms, which approximately have the same masses, is discussed.

Funding Agency:

Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPq-Brasil)

Available from: 2019-03-22 Created: 2019-03-22 Last updated: 2019-04-04Bibliographically approvedOpen this publication in new window or tab >>Damped Dynamical Systems for Solving Equations and Optimization Problems### Gulliksson, Mårten

### Ögren, Magnus

### Oleynik, Anna

### Zhang, Ye

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}); 2019 (English)In: Handbook of the Mathematics of the Arts and Sciences / [ed] Bharath Sriraman, Springer , 2019Chapter in book (Other academic)
##### Abstract [en]

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

Springer, 2019
##### Keywords

Optimization, damped dynamical systems, convex problems, eigenvalue problems, image analysis, inverse problems, quantum physics, Schrödinger equation
##### National Category

Computational Mathematics
##### Research subject

Mathematics
##### Identifiers

urn:nbn:se:oru:diva-71881 (URN)10.1007/978-3-319-70658-0 (DOI)978-3-319-70658-0 (ISBN)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt359",{id:"formSmash:j_idt184:1:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt365",{id:"formSmash:j_idt184:1:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt371",{id:"formSmash:j_idt184:1:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt371",multiple:true});
#####

Available from: 2019-01-29 Created: 2019-01-29 Last updated: 2019-04-01Bibliographically approved

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Department of Mathematics, University of Bergen, Norway.

Faculty of Mathematics, Chemnitz University of Technology, Germany.

We present an approach for solving optimization problems with or without constrains which we call Dynamical Functional Particle Method (DFMP). The method consists of formulating the optimization problem as a second order damped dynamical system and then applying symplectic method to solve it numerically. In the first part of the chapter, we give an overview of the method and provide necessary mathematical background. We show that DFPM is a stable, efficient, and given the optimal choice of parameters, competitive method. Optimal parameters are derived for linear systems of equations, linear least squares, and linear eigenvalue problems. A framework for solving nonlinear problems is developed and numerically tested. In the second part, we adopt the method to several important applications such as image analysis, inverse problems for partial differential equations, and quantum physics. At the end, we present open problems and share some ideas of future work on generalized (nonlinear) eigenvalue problems, handling constraints with reflection, global optimization, and nonlinear ill-posed problems.

Open this publication in new window or tab >>Excitation spectrum of a mixture of two Bose gases confined in a ring potential with interaction asymmetry### Roussou, Alexandra

### Smyrnakis, Ioannis

### Magiropoulos, Manolis

### Efremidis, Nikolaos

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}); ### Kavoulakis, Georgios

### Sandin, Patrik

### Ögren, Magnus

### Gulliksson, Mårten

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}); Show others...PrimeFaces.cw("SelectBooleanButton","widget_formSmash_j_idt184_2_j_idt188_j_idt202",{id:"formSmash:j_idt184:2:j_idt188:j_idt202",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt202",onLabel:"Hide others...",offLabel:"Show others..."}); 2018 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 20, article id 045006Article in journal (Refereed) Published
##### Abstract [en]

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

Institute of Physics (IOP), 2018
##### Keywords

Bose-Einstein condensation; mixtures; superfluidity; vector solitons
##### National Category

Computational Mathematics Atom and Molecular Physics and Optics Condensed Matter Physics
##### Research subject

Physics; Mathematics
##### Identifiers

urn:nbn:se:oru:diva-65601 (URN)10.1088/1367-2630/aab599 (DOI)000430345700001 ()
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt359",{id:"formSmash:j_idt184:2:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt365",{id:"formSmash:j_idt184:2:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt371",{id:"formSmash:j_idt184:2:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-03-09 Created: 2018-03-09 Last updated: 2018-05-02Bibliographically approved

Department of Applied Mathematics, University of Crete, Heraklion, Greece.

Technological Education Institute of Crete, Heraklion, Greece.

Technological Education Institute of Crete, Heraklion, Greece.

Department of Applied Mathematics, University of Crete, Heraklion, Greece.

Technological Education Institute of Crete, Heraklion, Greece.

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

We study the rotational properties of a two-component Bose-Einstein condensed gas of distinguishable atoms which are confined in a ring potential using both the mean-field approximation, as well as the method of diagonalization of the many-body Hamiltonian. We demonstrate that the angular momentum may be given to the system either via single-particle, or "collective" excitation. Furthermore, despite the complexity of this problem, under rather typical conditions the dispersion relation takes a remarkably simple and regular form. Finally, we argue that under certain conditions the dispersion relation is determined via collective excitation. The corresponding many-body state, which, in addition to the interaction energy minimizes also the kinetic energy, is dictated by elementary number theory.

Open this publication in new window or tab >>Övningsuppgifter, Ellära för civilingenjörer### Ögren, Magnus

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}); 2018 (Swedish)Book (Other academic)
##### Place, publisher, year, edition, pages

Örebro: Örebro universitet, 2018
##### National Category

Other Electrical Engineering, Electronic Engineering, Information Engineering
##### Research subject

Physics
##### Identifiers

urn:nbn:se:oru:diva-71882 (URN)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt359",{id:"formSmash:j_idt184:3:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt365",{id:"formSmash:j_idt184:3:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt371",{id:"formSmash:j_idt184:3:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt371",multiple:true});
#####

Available from: 2019-01-29 Created: 2019-01-29 Last updated: 2019-02-01Bibliographically approved

Örebro University, School of Science and Technology.

Open this publication in new window or tab >>Dimensional reduction in Bose-Einstein condensed clouds of atoms confined in tight potentials of any geometry and any interaction strength### Sandin, Patrik

### Ögren, Magnus

### Gulliksson, Mårten

### Smyrnakis, J.

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}); ### Magiropoulos, M.

### Kavoulakis, G. M.

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}); Show others...PrimeFaces.cw("SelectBooleanButton","widget_formSmash_j_idt184_4_j_idt188_j_idt202",{id:"formSmash:j_idt184:4:j_idt188:j_idt202",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt202",onLabel:"Hide others...",offLabel:"Show others..."}); 2017 (English)In: Physical Review E, ISSN 2470-0045, Vol. 95, no 1, article id 012142Article in journal (Refereed) Published
##### Abstract [en]

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

American Physical Society, 2017
##### National Category

Computational Mathematics Condensed Matter Physics
##### Research subject

Mathematics; Physics
##### Identifiers

urn:nbn:se:oru:diva-54302 (URN)10.1103/PhysRevE.95.012142 (DOI)000400777500008 ()28208309 (PubMedID)2-s2.0-85010341455 (Scopus ID)
#####

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});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt365",{id:"formSmash:j_idt184:4:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt365",multiple:true});
#####

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});
#####

##### Note

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Technological Education Institute of Crete, Heraklion, Greece.

Technological Education Institute of Crete, Heraklion, Greece.

Technological Education Institute of Crete, Heraklion, Greece.

Motivated by numerous experiments on Bose-Einstein condensed atoms which have been performed in tight trapping potentials of various geometries (elongated and/or toroidal/annular), we develop a general method which allows us to reduce the corresponding three-dimensional Gross-Pitaevskii equation for the order parameter into an effectively one-dimensional equation, taking into account the interactions (i.e., treating the width of the transverse profile variationally) and the curvature of the trapping potential. As an application of our model we consider atoms which rotate in a toroidal trapping potential. We evaluate the state of lowest energy for a fixed value of the angular momentum within various approximations of the effectively one-dimensional model and compare our results with the full solution of the three-dimensional problem, thus getting evidence for the accuracy of our model.

Funding Agency:

Örebro University, School of Science and Technology RR 2015/2016

Available from: 2017-01-07 Created: 2017-01-07 Last updated: 2018-07-30Bibliographically approvedOpen this publication in new window or tab >>Solitons in a 𝒫𝒯-symmetric 𝜒(2) coupler### Ögren, Magnus

### Abdullaev, Fatkhulla

### Konotop, Vladimir

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}); 2017 (English)In: Optics Letters, ISSN 0146-9592, E-ISSN 1539-4794, Vol. 42, no 20, p. 4079-4082Article in journal, Letter (Refereed) Published
##### Abstract [en]

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

Optical Society of America, 2017
##### Keywords

solitons, PT-symmetri, optical coupler, guided waves, propagation
##### National Category

Atom and Molecular Physics and Optics
##### Research subject

Physics
##### Identifiers

urn:nbn:se:oru:diva-61268 (URN)10.1364/OL.42.004079 (DOI)000412916200011 ()29028018 (PubMedID)2-s2.0-85031289752 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt359",{id:"formSmash:j_idt184:5:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt365",{id:"formSmash:j_idt184:5:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt371",{id:"formSmash:j_idt184:5:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt371",multiple:true});
#####

##### Note

Örebro University, School of Science and Technology.

Physical-Technical Institute, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan .

Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, Lisboa, Portugal .

We consider the existence and stability of solitons in a 𝜒(2) coupler. Both the fundamental and second harmonics (SHs) undergo gain in one of the coupler cores and are absorbed in the other one. The gain and loss are balanced, creating a parity-time (𝒫𝒯) symmetric configuration. We present two types of families of 𝒫𝒯-symmetric solitons having equal and different profiles of the fundamental and SHs. It is shown that the gain and loss can stabilize solitons. The interaction of stable solitons is shown. In the cascading limit, the model is reduced to the 𝒫𝒯-symmetric coupler with effective Kerr-type nonlinearity and the balanced nonlinear gain and loss.

Funding Agency:

International Islamic University Malaysia (IIUM) FRGS 16-014-0513

Available from: 2017-10-05 Created: 2017-10-05 Last updated: 2017-11-07Bibliographically approvedOpen this publication in new window or tab >>The dynamics of magnetic vortices in type II superconductors with pinning sites studied by the time dependent Ginzburg–Landau model### Sørensen, Mads Peter

### Falsig Pedersen, Niels

### Ögren, Magnus

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}); 2017 (English)In: Physica. C, Superconductivity, ISSN 0921-4534, E-ISSN 1873-2143, Vol. 533, p. 40-43Article in journal (Refereed) Published
##### Abstract [en]

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

Amsterdam: Elsevier, 2017
##### Keywords

Ginzburg–Landau equations, Type II superconductivity, Vortices, Pinning sites
##### National Category

Condensed Matter Physics Computational Mathematics Nano Technology Other Electrical Engineering, Electronic Engineering, Information Engineering
##### Research subject

Physics
##### Identifiers

urn:nbn:se:oru:diva-51656 (URN)10.1016/j.physc.2016.08.001 (DOI)000395954100006 ()2-s2.0-84994314576 (Scopus ID)
#####

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});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt365",{id:"formSmash:j_idt184:6:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt371",{id:"formSmash:j_idt184:6:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt371",multiple:true});
#####

##### Note

Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark.

Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark.

Örebro University, School of Science and Technology.

We investigate the dynamics of magnetic vortices in type II superconductors with normal state pinning sites using the Ginzburg–Landau equations. Simulation results demonstrate hopping of vortices between pinning sites, influenced by external magnetic fields and external currents. The system is highly nonlinear and the vortices show complex nonlinear dynamical behaviour.

Funding Agency:

EU Horizon (COST) program Nanoscale Superconductivity: Novel Functionalities through Optimized Confinement of Condensate and Fields (NanoSC-COST) MP1201

Available from: 2016-08-13 Created: 2016-08-13 Last updated: 2017-11-28Bibliographically approvedOpen this publication in new window or tab >>There’s more to the multimedia effect than meets the eye: is seeing pictures believing?### Ögren, Magnus

### Nyström, Marcus

### Jarodzka, Halszka

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}); 2017 (English)In: Instructional science, ISSN 0020-4277, E-ISSN 1573-1952, Vol. 45, no 2, p. 263-287Article in journal (Refereed) Published
##### Abstract [en]

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

Springer Netherlands, 2017
##### Keywords

Multimedia effect, Eye tracking, Verbal data, Mathematics education, Science education
##### National Category

Didactics Other Mathematics Educational Sciences Psychology
##### Research subject

Physics; Mathematics
##### Identifiers

urn:nbn:se:oru:diva-53277 (URN)10.1007/s11251-016-9397-6 (DOI)000397984900007 ()2-s2.0-84991387594 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt359",{id:"formSmash:j_idt184:7:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt365",{id:"formSmash:j_idt184:7:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt371",{id:"formSmash:j_idt184:7:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt371",multiple:true});
#####

##### Note

Örebro University, School of Science and Technology. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark; Department of Chemistry, Nano-Science Center, University of Copenhagen, Copenhagen, Denmark.

Lund University Humanities Laboratory, Lund, Sweden.

Open University, Heerlen, The Netherlands.

Textbooks in applied mathematics often use graphs to explain the meaning of formulae, even though their benefit is still not fully explored. To test processes underlying this assumed multimedia effect we collected performance scores, eye movements, and think-aloud protocols from students solving problems in vector calculus with and without graphs. Results showed no overall multimedia effect, but instead an effect to confirm statements that were accompanied by graphs, irrespective of whether these statements were true or false. Eye movement and verbal data shed light on this surprising finding. Students looked proportionally less at the text and the problem statement when a graph was present. Moreover, they experienced more mental effort with the graph, as indicated by more silent pauses in thinking aloud. Hence, students actively processed the graphs. This, however, was not sufficient. Further analysis revealed that the more students looked at the statement, the better they performed. Thus, in the multimedia condition the graph drew students’ attention and cognitive capacities away from focusing on the statement. A good alternative strategy in the multimedia condition was to frequently look between graph and problem statement, and thus to integrate their information. In conclusion, graphs influence where students look and what they process, and may even mislead them into believing accompanying information. Thus, teachers and textbook designers should be very critical on when to use graphs and carefully consider how the graphs are integrated with other parts of the problem.

Funding Agency:

Sveriges läromedelsförfattares förbund (SLFF)

Available from: 2016-10-26 Created: 2016-10-26 Last updated: 2017-10-18Bibliographically approvedOpen this publication in new window or tab >>Finding Stationary Solutions of PDEs with Constraints using Damped Dynamical Systems### Lockby, Andreas

### Sandin, Patrik

### Ögren, Magnus

### Gulliksson, Mårten

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}); 2016 (English)In: Comsol Conference 2016, 2016Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

PDE, constraints, dynamical system
##### National Category

Computational Mathematics
##### Research subject

Mathematics; Physics
##### Identifiers

urn:nbn:se:oru:diva-53278 (URN)
##### Conference

Comsol Conference 2016, Münich, Germany, October 12-14 2016
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt359",{id:"formSmash:j_idt184:8:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt365",{id:"formSmash:j_idt184:8:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt371",{id:"formSmash:j_idt184:8:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt371",multiple:true});
#####

##### Projects

Metoder för att lösa ekvationer med andra ordningens dämpade dynamiska system
Available from: 2016-10-26 Created: 2016-10-26 Last updated: 2017-10-18Bibliographically approved

School of Science and Technology, Örebro University, Örebro, Sweden..

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

The dynamical functional particle method(DFPM) is a method for solving equations, e.g. PDEs, using a second order damped dynamical system. We show how the method can be extended to include constraints both explicitly as global constraints and adding the constraints as additional damped dynamical equations. These methods are implemented in Comsol and we show numerical tests for finding the stationary solution of a nonlinear heat equation with and without constraints (global and dynamical). The results show that DFPM is a very general and robust way of solving PDEs and it should be of interest to implement the approach more generally in Comsol.

Open this publication in new window or tab >>Numerical solution of the stationary multicomponent nonlinear Schrodinger equation with a constraint on the angular momentum### Sandin, Patrik

### Ögren, Magnus

### Gulliksson, Mårten

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}); 2016 (English)In: Physical Review E, ISSN 2470-0045, Vol. 93, no 3, article id 033301Article in journal (Refereed) Published
##### Abstract [en]

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

American Physical Society, 2016
##### National Category

Physical Sciences
##### Research subject

Physics
##### Identifiers

urn:nbn:se:oru:diva-49550 (URN)10.1103/PhysRevE.93.033301 (DOI)000371415500006 ()2-s2.0-84960942930 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt359",{id:"formSmash:j_idt184:9:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt365",{id:"formSmash:j_idt184:9:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt371",{id:"formSmash:j_idt184:9:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt371",multiple:true});
#####

##### Note

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology.

Örebro University, School of Science and Technology. Sch Sci & Technol, Univ Örebro, Örebro, Sweden.

We formulate a damped oscillating particle method to solve the stationary nonlinear Schrodinger equation (NLSE). The ground-state solutions are found by a converging damped oscillating evolution equation that can be discretized with symplectic numerical techniques. The method is demonstrated for three different cases: for the single-component NLSE with an attractive self-interaction, for the single-component NLSE with a repulsive self-interaction and a constraint on the angular momentum, and for the two-component NLSE with a constraint on the total angular momentum. We reproduce the so-called yrast curve for the single-component case, described in [A. D. Jackson et al., Europhys. Lett. 95, 30002 (2011)], and produce for the first time an analogous curve for the two-component NLSE. The numerical results are compared with analytic solutions and competing numerical methods. Our method is well suited to handle a large class of equations and can easily be adapted to further constraints and components.

Funding Agencies:

Örebro University, School of Science and Technology

RR

Available from: 2016-03-29 Created: 2016-03-29 Last updated: 2018-07-10Bibliographically approved