Geodesic
A Fast Algorithm for the Numerical Solution of an Integral Equation with Logarithmic Kernel
Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 143 .

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We describe an algorithm for the numerical solution of an integral equation of the form $ -\frac1{i}ıt_{-1}^1eft[(y-x)n|y-x|-h(x,y)\right]\frac{u(y)\,dy}{qrt{1-y^2}}=f(x),\quad-1
Classification : 65R20 45B05 45E99
Keywords: first kind integral equation, ill-posed problem, collocation method, quadrature method 
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     author = {Katharina Flemming and Peter Junghanns},
     title = {A {Fast} {Algorithm} for the {Numerical} {Solution} of an {Integral} {Equation} with {Logarithmic} {Kernel}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {143 },
     publisher = {mathdoc},
     volume = {_N_S_96},
     number = {110},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a10/}
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Katharina Flemming; Peter Junghanns. A Fast Algorithm for the Numerical Solution of an Integral Equation with Logarithmic Kernel. Publications de l'Institut Mathématique, _N_S_96 (2014) no. 110, p. 143 . http://geodesic.mathdoc.fr/item/PIM_2014_N_S_96_110_a10/