Adams-type methods with increased ranges of stability
نویسندگان
چکیده
منابع مشابه
Stability Ordinates of Adams Predictor-Corrector Methods
How far the stability domain of a numerical method for approximating solutions to differential equations extends along the imaginary axis indicates how useful the method is for approximating solutions to wave equations; this maximum extent is termed the stability ordinate, also known as the imaginary stability boundary. It has previously been shown that exactly half of Adams-Bashforth, Adams-Mo...
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Runge-Kutta and Adams methods are the most popular codes to solve numerically nonstiff ODEs. The Adams methods are useful to reduce the number of function calls, but they usually require more CPU time than the Runge-Kutta methods. In this work we develop a numerical study of a variable step length Adams implementation, which can only take preassigned step-size ratios. Our aim is the reduction o...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1978
ISSN: 0898-1221
DOI: 10.1016/0898-1221(78)90015-9