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

Presented by: 
Aloknath Chakrabarti
Tuesday 13th August 2019 - 15:00 to 15:30
INI Seminar Room 1
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. 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons