Numerical comparison of two regularization methods for singular integral equations

The equivalence of the natural interpolation formulae for the approximation to the solutions of Cauchy type singular integral equations of the first kind, after their reduction to equivalent Fredholm integral equations (by two different regularization procedures) and the numerical solutions of the l...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Ioakimidis, Nikolaos
Άλλοι συγγραφείς: Ιωακειμίδης, Νικόλαος
Μορφή: Technical Report
Γλώσσα:English
Έκδοση: 2018
Θέματα:
Διαθέσιμο Online:http://hdl.handle.net/10889/10990
Περιγραφή
Περίληψη:The equivalence of the natural interpolation formulae for the approximation to the solutions of Cauchy type singular integral equations of the first kind, after their reduction to equivalent Fredholm integral equations (by two different regularization procedures) and the numerical solutions of the latter by the quadrature (Nyström) method, is proved under appropriate, but reasonable, conditions.