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首页> 外文期刊>Sibirskie elektronnye matematicheskie izvestiia: Siberian Electronic Mathematical Reports >Simpson rule and its modifications for a function with a boundary layer component
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Simpson rule and its modifications for a function with a boundary layer component

机译:具有边界层成分的函数的Simpson规则及其修改

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Quadrature formulas for a function with a boundary layercomponent are investigated. An application of Simpson rule on an uniformmesh for the integration of such function leads to significant errors.Two approaches to increase the accuracy are investigated: the fittingof Simpson rule to a boundary layer component and using Simpson ruleon Shishkin mesh. Results of numerical experiments are discussed.
机译:研究了具有边界层分量的函数的正交公式。在统一网格上应用Simpson规则来集成此类函数会导致明显的错误。研究了两种提高精度的方法:将Simpson规则拟合到边界层组件上,以及使用Simpson规则在Shishkin网格上进行拟合。讨论了数值实验的结果。

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