منابع مشابه
Explicit parallel two-step peer methods
The construction of s-stage explicit parallel two-step peer methods for the solution of non-stiff initial value problems with optimal zero stability and order p = s is considered. By an additional condition superconvergence of order p = s + 1 can be achieved. Further criteria for good methods are large stability regions and small error constants. Corresponding parameter sets have been obtained ...
متن کاملAlgebraic criteria for A-stability of peer two-step methods
A new criterion for A-stability of peer two-step methods is presented which is verifiable exactly in exact arithmetic by checking semi-definiteness of a certain test matrix. It depends on the existence of two positive definite weight matrices for a given method. Although the initial approach is different using properties of the numerical radius the criterion itself resembles the one from algebr...
متن کاملExplicit Two-Step Peer Methods for the Compressible Euler Equations
In atmospheric models the highest-frequency modes are often not the physical modes of interest. On the other hand severe stability constrains for the numerical integrator arise from those meteorologically irrelevant modes. A common strategy to avoid this problem is a splitting approach: The differential equation is split into two parts. The slow part is integrated with one numerical method and ...
متن کاملExponentially Fitted Fifth-Order Two-Step Peer Explicit Methods
The so called peer methods for the numerical solution of Initial Value Problems (IVP) in ordinary differential systems were introduced by R. Weiner et al [6, 7, 11, 12, 13] for solving different types of problems either in sequential or parallel computers. In this work, we study exponentially fitted three-stage peer schemes that are able to fit functional spaces with dimension six. Finally, som...
متن کاملParameter optimization for explicit parallel peer two-step methods
Due to a two-step structure certain explicit peer methods with s stages have a natural parallel implementation on s processors. By the peer property all stages have essentially identical properties and we construct a class of zerostable methods with order p = s in all stages. Two approaches are discussed for choosing the free parameters. In a certain subclass the stability polynomial depends on...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2017
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.08.045