分别给出利用自适应Simpson积分的数值积分方法（QUAD.m）和自适应Lobatto的数值积分算法（QUADL.m）。
标签： Simpson Lobatto QUADL QUAD
上传时间： 2015-09-10
上传用户：yy541071797
迭代自适应Simpson，Lobatto积分 In almost every standard book on numerics quadrature algorithms like the adaptive Simpson or the adaptive Lobatto algorithm are presented in a recursive way. The benefit of the recursive programming is the compact and clear representation. However, recursive quadrature algorithms might be transformed into iterative quadrature algorithms without major modifications in the structure of the algorithm. We present iterative adaptive quadrature algorithm (adaptiveSimpson and adaptiveLobatto), which preserves the compactness and the clarity of the recursive algorithms (e.g. quad, quadv, and QUADL). Our iterative algorithm provides a parallel calculation of the integration function, which leads to tremendous gain in run-time, in general. Our results suggest a general iterative and not a recursive implementation of adaptive quadrature formulas, once the programming language permits parallel access to the integration function. For details the attached PDF file Conrad_08.pdf.
上传时间： 2014-10-25
上传用户：xc216
