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.
Arithmetic tests for A-stability, A(alpha)-stability, and stiff-stability
Arithmetische Tests zur A-Stabilitaet, A(alpha)-Stabilitaet und starken Stabilitaet
BIT, Lund ; 18 , 1 ; 9-21
1978
13 Seiten, 7 Quellen
Article (Journal)
English
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