Arithmetic tests for A-stability, A(alpha)-stability, and stiff-stability are presented as special cases of a general stability test for numerical integration methods. The test evolves from extracted properties of the characteristic polynomial (in two variables) of the numerical method applied to the prototype scalar ordinary differential equation dx/dt=qx, Re(q) less than 0. The several steps of the test impose root clustering conditions-such as being Hurwitz-on a polynomial of one variable.


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    Titel :

    Arithmetic tests for A-stability, A(alpha)-stability, and stiff-stability


    Weitere Titelangaben:

    Arithmetische Tests zur A-Stabilitaet, A(alpha)-Stabilitaet und starken Stabilitaet


    Beteiligte:
    Bickart, T.A. (Autor:in) / Jury, E.I. (Autor:in)

    Erschienen in:

    BIT, Lund ; 18 , 1 ; 9-21


    Erscheinungsdatum :

    1978


    Format / Umfang :

    13 Seiten, 7 Quellen



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch




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