Acta mathematica scientia,Series B

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OPTIMIZATION OF ADAPTIVE DIRECT METHOD FOR APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF SEVERAL VARIABLES

 MA Mo, FANG Gen-Sun   

  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    Project supported by the Natural Science Foundation
    of China(10371009) and Research Fund for the Doctoral Program Higher Education.

Abstract:

This paper determines the exact error order on optimization of adaptive direct
methods of approximate solution of the class of Fredholm integral equations of the second
kind with kernel belonging to the anisotropic Sobolev classes, and also gives an optimal
algorithm.

Key words: Integral equations, direct methods, anisotropic sobolev classes

CLC Number: 

  • 41A65
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