Stability analysis of reducible quadrature methods for Volterra integro-differential equations
Bakke, Vernon L. ; Jackiewicz, Zdzisław
Applications of Mathematics, Tome 32 (1987), p. 37-48 / Harvested from Czech Digital Mathematics Library
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Stability analysis for numerical solutions of Voltera integro-differential equations based on linear multistep methods combined with reducible quadrature rules is presented. The results given are based on the test equation $y'(t)=\gamma y(t) + \int^t_0(\lambda + \mu t + vs) y(s) ds$ and absolute stability is deffined in terms of the real parameters $\gamma, \lambda, \mu$ and $v$. Sufficient conditions are illustrated for $(0;0)$ - methods and for combinations of Adams-Moulton and backward differentiation methods.

Publié le : 1987-01-01
Classification:  45J05,  45M10,  65Q05,  65R20 
@article{104234,
     author = {Vernon L. Bakke and Zdzis\l aw Jackiewicz},
     title = {Stability analysis of reducible quadrature methods for Volterra integro-differential equations},
     journal = {Applications of Mathematics},
     volume = {32},
     year = {1987},
     pages = {37-48},
     zbl = {0624.65140},
     mrnumber = {0879328},
     language = {en},
     url = {http://dml.mathdoc.fr/item/104234}
}

Bakke, Vernon L.; Jackiewicz, Zdzisław. Stability analysis of reducible quadrature methods for Volterra integro-differential equations. Applications of Mathematics, Tome 32 (1987) pp. 37-48. http://gdmltest.u-ga.fr/item/104234/

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