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  • Computer Imaging, Vision, Pattern Recognition and Graphics  (1)
  • error estimate  (1)
  • 1
    Electronic Resource
    Electronic Resource
    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
    Keywords: Hyperbolic conservation laws ; two space dimensions ; relaxation terms ; non-equilibrium ; error estimate ; rate of convergence
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01733792
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    Paper (German National Licenses)
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    Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models (2021)
    Springer Nature
    Details
    Publication Date: 2024-03-30
    Description: Computational Science and Engineering; Biomedicine general; Computer Imaging, Vision, Pattern Recognition and Graphics
    Keywords: 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
    Language: English
    Format: image/jpeg
    Format: image/jpeg
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