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Solving Wiener-Hopf Problems by the aid of Fredholm Integral Equations of the Second Kind

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WHTW01 - Factorisation of matrix functions: New techniques and applications

A class of Wiener-Hopf problems is shown to be solvable by reducing the original problems to Fredholm integral equations of the second kind.  The resulting Fredholm integral equations are shown to be finally solvable,  numerically, by using standard techniques.  The present method is found to be applicable to systems of Wiener-Hopf problems, for which the Wiener-Hopf factorization of matrices can be avoided.  Several examples are taken up, demonstrating the present method of solution of Wiener-Hopf problems. 

This talk is part of the Isaac Newton Institute Seminar Series series.

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