منابع مشابه
Exponential multistep methods of Adams-type
The paper is concerned with the construction, implementation and numerical analysis of exponential multistep methods. These methods are related to explicit Adams methods but, in contrast to the latter, make direct use of the exponential and related matrix functions of a (possibly rough) linearization of the vector field. This feature enables them to integrate stiff problems explicitly in time. ...
متن کاملFast convergence pirkn-type pc methods with adams-type predictors
This paper discusses predictor-corrector iteration schemes (PC iteration schemes) based on direct collocation-based Runge-Kutta-Nystr??m corrector methods (RKN corrector methods) for solving nonstiff initial-value problems (IVPs) for systems of special second-order differential equations y??(t)=f(y(t)). Our approach is to regard the well-known parallel-iterated RKN methods (PIRKN methods) as PC...
متن کاملParallel Adams methods
In the literature, various types of parallel methods for integrating nonsti initial-value problems for rst-order ordinary di erential equation have been proposed. The greater part of them are based on an implicit multistage method in which the implicit relations are solved by the predictor–corrector (or xed point iteration) method. In the predictor–corrector approach the computation of the comp...
متن کاملTwo Proofs of the Stable Adams Conjecture
(P) where / is the complex /-homomorphism and , y denotes localization at p. Both J and ** are infinite loop maps, and it is natural to ask whether this result is infinitely deloopable; that is, whether J<ff = / as infinite loop maps. This is the Stable Adams Conjecture. We announce here two independent proofs of this conjecture. Details will appear in [2] and [6]. METHOD 1. Our proof is based ...
متن کاملStability 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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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1986
ISSN: 0377-0427
DOI: 10.1016/0377-0427(86)90003-8