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- W2034622590 startingPage "065007" @default.
- W2034622590 abstract "We consider ill-posed Fredholm integral equations of the first kind. A fast piecewise polynomial collocation method is introduced for solving the second kind of integral equation obtained by using the Tikhonov regularization from the original ill-posed equation. The method is developed based on a matrix compression strategy resulting from using multiscale piecewise polynomial basis functions and their corresponding multiscale collocation functionals. A priori and a posteriori regularization parameter choice strategies are proposed. Convergence rates of the regularized solutions are established. Numerical results are presented to demonstrate the efficiency and accuracy of the proposed method." @default.
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- W2034622590 date "2008-10-17" @default.
- W2034622590 modified "2023-09-25" @default.
- W2034622590 title "Fast collocation methods for solving ill-posed integral equations of the first kind" @default.
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- W2034622590 doi "https://doi.org/10.1088/0266-5611/24/6/065007" @default.
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