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  • 1.
    Carillo, Sandra
    et al.
    Dipartimento “Scienze di Base e Applicate per l’Ingegneria”, Sapienza - Universit`a di Roma, 16, Via A. Scarpa, 00161 Rome, Italy.
    Lo Schiavo, Mauro
    Dipartimento “Scienze di Base e Applicate per l’Ingegneria”, Sapienza - Universit`a di Roma, 16, Via A. Scarpa, 00161 Rome, Italy.
    Schiebold, Cornelia
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Mathematics and Science Education. Instytut Matematyki, Uniwersytet Jana Kochanowskiego w Kielcach, Poland.
    Recursion operators admitted by non-Abelian Burgers equations: some remarks2018In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 147, no SI, p. 40-51Article in journal (Refereed)
    Abstract [en]

    The recursion operators admitted by different operator Burgers equations, in the framework of the study of nonlinear evolution equations, are here considered. Specifically, evolution equations wherein the unknown is an operator acting on a Banach space are investigated. Here, the mirror   non-Abelian Burgers equation is considered: it can be written as rt=rxx+2rxrrt=rxx+2rxr. The structural properties of the admitted recursion operator are studied; thus, it is proved to be a strong symmetry for the mirror non-Abelian Burgers equation as well as to be the hereditary. These results are proved via direct computations as well as via computer assisted manipulations; ad hoc routines are needed to treat non-Abelian quantities and relations among them. The obtained recursion operator generates the mirror   non-Abelian Burgers hierarchy. The latter, when the unknown operator rr is replaced by a real valued function reduces to the usual (commutative) Burgers hierarchy. Accordingly, also the recursion operator reduces to the usual Burgers one.

  • 2.
    Nilsson, Hans-Erik
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Bellotti, E.
    Hjelm, Mats
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Brennan, K.
    A comparison between different Monte Carlo models in simulation of hole transport in 4H-SiC2001In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 55, no 1-3, p. 199-208Article in journal (Refereed)
    Abstract [en]

    A Monte Carlo (MC) study of the hole transport in 4H-SiC is presented using three different MC models. The three models represent different approximation levels regarding band structure and scattering formulation. The most advanced model is a completely k-vector dependent full band model while the simplest model uses three analytical bands with energy dependent scattering rates. The intermediate MC model uses a full band structure calculated using a simple k.p formulation. A comparison between the models in terms of coupling constants, scattering rate, temperature dependent mobility and saturation velocity is presented

  • 3.
    Nilsson, Hans-Erik
    et al.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Dubaric, Ervin
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Hjelm, Mats
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Englund, U.
    Mid Sweden University, Faculty of Science, Technology and Media, Department of Information Technology and Media.
    Monte Carlo simulation of the transient response of single photon absorption in X-ray pixel detectors2003In: Mathematics and Computers in Simulation, ISSN 0378-4754, E-ISSN 1872-7166, Vol. 62, p. 471-478Article in journal (Refereed)
    Abstract [en]

    A Monte Carlo study of the transient response of single photon absorption in X-ray pixel detectors is presented. The simulation results have been combined with Monte Carlo simulation of the X-ray photon transport and absorption, and used to estimate the image properties of a detector system, including the pixel array and readout electronics. The study includes several different simulation challenges, such as full band Monte Carlo simulation of charge transport in large devices (300 mu m * 100 mu m), modelling of three-dimensional electrostatic effects using cylindrical coordinates, Monte Carlo simulation of photon transport and absorption, and a system level Monte Carlo simulation of the entire pixel detector and readout

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