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  • Computer Imaging, Vision, Pattern Recognition and Graphics  (1)
  • bidomain  (1)
  • error estimate  (1)
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  • 1
    Digitale Medien
    Digitale Medien
    A system of conservation laws including a stiff relaxation term; the 2D case (1996)
    Springer
    BIT 36 (1996), S. 786-813 
    Details
    ISSN: 1572-9125
    Schlagwort(e): Hyperbolic conservation laws ; two space dimensions ; relaxation terms ; non-equilibrium ; error estimate ; rate of convergence
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract We analyze a system of conservation laws in two space dimensions with a stiff relaxation term. A semi-implicit finite difference method approximating the system is studied and an error bound of order $$\mathcal{O}(\sqrt {\Delta t} )$$ measured inL 1 is derived. This error bound is independent of the relaxation time δ 〉 0. Furthermore, it is proved that the solutions of the system converge towards the solution of an equilibrium model as the relaxation time δ tends to zero, and that the rate of convergence measured inL 1 is of order $$\mathcal{O}(\delta ^{1/3} )$$ . Finally, we present some numerical illustrations.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF01733792
    Standort Signatur Erwartet Verfügbarkeit
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  • 2
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    Differential Equations for Studies in Computational Electrophysiology (2023)
    Springer Nature | Springer Nature Switzerland
    Details
    Publikationsdatum: 2024-04-04
    Beschreibung: This open access text aims at giving you the simplest possible introduction to differential equations that are used in models of electrophysiology. It covers models at several spatial and temporal scales with associated numerical methods. The text demonstrates that a very limited number of fundamental techniques can be used to define numerical methods for equations ranging from ridiculously simple to extremely complex systems of partial differential equations. Every method is implemented in Matlab and the codes are freely available online. By using these codes, the reader becomes familiar with classical models of electrophysiology, like the cable equation, the monodomain model, and the bidomain model. But modern models that have just started to gain attention in the field of computational electrophysiology are also presented. If you just want to read one book, it should probably not be this one, but if you want a simple introduction to a complex field, it is worth considering the present text.
    Schlagwort(e): Action potential ; Cardiomyocytes ; Differential equations ; numerical methods ; software ; computational physiology ; computational electrophysiology ; Cable equation ; bidomain ; cell-based models ; thema EDItEUR::P Mathematics and Science::PB Mathematics ; thema EDItEUR::U Computing and Information Technology::UY Computer science ; thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSA Life sciences: general issues ; thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics::PHVN Biophysics
    Sprache: Englisch
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    E-BOOK
  • 3
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    Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models (2021)
    Springer Nature
    Details
    Publikationsdatum: 2024-03-30
    Beschreibung: Computational Science and Engineering; Biomedicine general; Computer Imaging, Vision, Pattern Recognition and Graphics
    Schlagwort(e): Computational Science and Engineering ; Biomedicine general ; Computer Imaging, Vision, Pattern Recognition and Graphics ; thema EDItEUR::K Economics, Finance, Business and Management::KJ Business and Management::KJM Management and management techniques::KJMV Management of specific areas ; thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNB Energy industries and utilities ; thema EDItEUR::K Economics, Finance, Business and Management::KN Industry and industrial studies::KNT Media, entertainment, information and communication industries::KNTX Information technology industries ; thema EDItEUR::M Medicine and Nursing::MB Medicine: general issues::MBG Medical equipment and techniques ; thema EDItEUR::R Earth Sciences, Geography, Environment, Planning ; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBX History of engineering and technology ; thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TC Biochemical engineering ; thema EDItEUR::W Lifestyle, Hobbies and Leisure::WC Antiques, vintage and collectables::WCF Collecting coins, banknotes, medals and other related items
    Sprache: Englisch
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    E-BOOK
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