Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 387-393.

• Articles • Previous Articles     Next Articles

Optimization of Adaptive Direct Method for Approximate Solution of Integral Equations with Bounded Mixed Derivative Kernels

 DUAN Li-Qin   

  1. Institute of Mathematics, Hangzhou Dianzi University, Hangzhou 310018
  • Received:2009-02-19 Revised:2010-03-22 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10671019, 10926056)和杭州电子科技大学校科研启动基金(KYS091507089)资助

Abstract:

In this paper, the author  considers the problem of optimization of adaptive direct methods for approximate solution of operator
equations. For some classes of Fredholm integral equations of the second kind with kernels belonging to the Sobolev classes
with bounded mixed derivative, the author  determines the exact error orders on optimization of adaptive direct methods for approximate solution, and also gives an optimal algorithm in the sense of order.

Key words: Integral equations, Adaptive direct methods, Sobolev space with bounded mixed derivative

CLC Number: 

  • 41A65
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