Extrapolation and Splitting Extrapolation Algorithm for Multidimensional Weakly Singular Integral of Product Type
Copyright policy )Extrapolation and Splitting Extrapolation Algorithm for Multidimensional Weakly Singular Integral of Product Type
In this paper, we use mid-rectangular quadrature rules to solve multidimensional weakly singular integrals of product type (MWSIP) and construct corresponding multi-step and multi-parameter asymptotic expansions of errors. The convergence order can turn from O(hiαi+1) to O(h04), -1 ≤ αi ≤ 0, h0 = max1≤i≤s{hi} by using extrapolation and splitting extrapolation algorithm. Moreover, we address a posterior error estimate and formulate self-adaptive algorithm. Numerical results illustrate that the method is of high accuracy and efficiency for solving MWSIP.
- University of Electronic Science and Technology of China China (People's Republic of)
Euler-Maclaurin error asymptotic expansions, splitting extrapolation algorithm, posterior error estimate, extrapolation algorithm, Electrical engineering. Electronics. Nuclear engineering, Multidimensional weakly singular integral, TK1-9971
Euler-Maclaurin error asymptotic expansions, splitting extrapolation algorithm, posterior error estimate, extrapolation algorithm, Electrical engineering. Electronics. Nuclear engineering, Multidimensional weakly singular integral, TK1-9971
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!