Explicit two-step methods with one off-step node
نویسندگان
چکیده
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 ...
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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 ...
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we present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Taylor expansion at the internal points is needed. Then we derive the order conditions taking advant...
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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: Hiroshima Mathematical Journal
سال: 1985
ISSN: 0018-2079
DOI: 10.32917/hmj/1206132812