A-stable one-step methods with step-size control for stiff systems of ordinary differential equations
نویسندگان
چکیده
منابع مشابه
On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
The stiffness in some systems of nonlinear differential equations is shown to be characterized by single stiff equations of the form y' = g'(x) + \\y g(x)\. The stability and accuracy of numerical approximations to the solution v = g(x), obtained using implicit one-step integration methods, are studied. An S-stability property is introduced for this problem, generalizing the concept of /4-stabi...
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In this paper we consider a large set of variable coefficient linear systems of ordinary differential equations which possess two different time scales, a slow one and a fast one. A small parameter t characterizes the stiffness of these systems. We approximate a system of ODE's in this set by a general class of multistep discretizations which includes both one-leg and linear multistep methods. ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1978
ISSN: 0377-0427
DOI: 10.1016/0771-050x(78)90016-5