Exponential fitting Direct Quadrature methods for Volterra integral equations

被引：0
作者：
Angelamaria Cardone
Liviu Gr. Ixaru
Beatrice Paternoster
机构：
[1] Università degli Studi di Salerno,Dipartimento di Matematica e Informatica
[2] “Horia Hulubei” National Institute of Physics and Nuclear Engineering,undefined
来源：
Numerical Algorithms | 2010年 / 55卷
关键词：
Volterra integral equations; Periodic; Direct Quadrature; Exponential fitting; Convergence; 65R20; 65D32; 45M15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper is the first approach to the solution of Volterra integral equation by exponential fitting methods. We have developed a Direct Quadrature method, which uses a class of ef-based quadrature rules adapted to the current problem to solve. We have analyzed the convergence of the method and have found different formulas for the coefficients, which limit rounding errors for small stepsizes. Numerical experiments for comparison with other DQ methods are presented.
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页码：467 / 480
页数：13
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