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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    Title :

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


    Additional title:

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


    Contributors:
    Bickart, T.A. (author) / Jury, E.I. (author)

    Published in:

    BIT, Lund ; 18 , 1 ; 9-21


    Publication date :

    1978


    Size :

    13 Seiten, 7 Quellen



    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




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