Verification methods for fredholm integral equations
Verification methods for fredholm integral equations
复制标题
Fredholm积分方程的验证方法
DOI：
10.1080/00207169308804207
复制
发表时间：
1993
影响因子：
1.8
通讯作者：
H. Dobner
中科院分区：
文献类型：
--
作者：
H. Dobner
本文研究Fredholm积分方程的验证方法。通过这些方法的数值近似计算与数学保证的高质量的误差范围。这种数值的基础进行了描述，然后应用到Fredholm积分方程。最后，我们通过一些数值例子证明了这种新的数值方案的有效性。
In this paper verification methods for Fredholm integral equations are considered. By these methods the numerical approximation is computed together with mathematically guaranteed error bounds of high quality. The foundations for such numerics is described and then applied to Fredholm integral equations. We conclude by some numerical examples demonstrating the effectiveness of such new numerical schemes.