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  • 1
    Digitale Medien
    Digitale Medien
    Second-order,L 0-stable methods for the heat equation with time-dependent boundary conditions (1996)
    Springer
    Advances in computational mathematics 6 (1996), S. 333-352 
    Details
    ISSN: 1572-9044
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Mathematik
    Notizen: Abstract A family of second-order,L 0-stable methods is developed and analysed for the numerical solution of the simple heat equation with time-dependent boundary conditions. Methods of the family need only real arithmetic in their implementation. In a series of numerical experiments no oscillations, which are a feature of some results obtained usingA 0-stable methods, are observed in the computed solutions. Splitting techniques for first- and second-order hyperbolic problems are also considered.
    Materialart: Digitale Medien
    URL: http://dx.doi.org/10.1007/BF02127712
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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  • 2
    Digitale Medien
    Digitale Medien
    Sequential and parallel methods for solving first-order hyperbolic equations (1996)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 12 (1996), S. 557-568 
    Details
    ISSN: 1069-8299
    Schlagwort(e): hyperbolic equations ; finite-difference methods ; Padé approximants ; sequential and parallel implementation ; Engineering ; Engineering General
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Mathematik , Technik allgemein
    Notizen: Techniques for two-time level difference schemes are presented for the numerical solution of first-order hyperbolic partial differential equations. The space derivative is approximated by (i) a low-order, and (ii) a higher-order backward difference replacement, resulting in a system of first-order ordinary differential equations, the solutions of which satisfy recurrence relations. The methods are obtained from the recurrence relations and are tested on three linear problems and one non-linear problem from the literature.
    Zusätzliches Material: 7 Tab.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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    Artikel (Nationallizenzen)
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