Numerical methods for solution of singular integral equations
For researchers in integral equations, this is an incremental overview of existing methods without new contributions or benchmarks.
This paper reviews the authors' work on iterative-projective and parallel numerical methods for solving singular, polysingular, and multi-dimensional singular integral equations of the second kind, but provides no concrete results or performance metrics.
This paper is devoted to overview of the authors works for numerical solution of singular integral equations (SIE), polysingular integral equations and multi-dimensional singular integral equations of the second kind. The authors investigated onsidered iterative - projective methods and parallel methods for solution of singular integral equations, polysingular integral equations and multi-dimensional singular integral equations. The paper is the second part of overview of the authors works devoted to numerical methods for calculation singular and hypersingular integrals \cite{Boy23} and to approximate methods for solution of singular integral equations.