Extrapolation of Discrete Multi-projection Methods for Fredholm Integral Equations of the Second Kind
- Resource Type
- Conference
- Authors
- Long, Guangqing; Xuan, Lifeng; Chen, Jianjun
- Source
- 2017 13th International Conference on Computational Intelligence and Security (CIS) CIS Computational Intelligence and Security (CIS), 2017 13th International Conference on. :64-68 Dec, 2017
- Subject
- Computing and Processing
Extrapolation
Convergence
Method of moments
Iterative methods
Kernel
Zirconium
Integral equations
iterated discrete multi-projection method
Asymptotic error expansion
Richardson extrapolation
- Language
In this paper, we analyze the asymptotic error expansion for the approximation solution obtained by iterated discrete multi-projection methods for Fredhlom integral equations of the second kind. We show that under some smoothness conditions the approximation solution admits an error expansion in even powers of h beginning with term h^4r to term h^7r. Under these expansion, the order of convergence can be increased by two further powers of h by Richardson extrapolation.