Abstract: We obtain the numerical schemes of reduction methods for the approximate solution of the singular integro-differential equations. The equations are defined on the arbitrary smooth closed contour of complex plane. Theoretical background for these methods is proven in Lebesgue spaces.

Brief Biography of the Speaker:
Iurie Caraus is Associate Professor on the Faculty of Mathematics and Informatics, Moldova State University, Chisinau. He obtained his PhD in Numerical Mathematics in 1998(Chisinau), working under the supervision of Prof. V. Zolotarevski. PhD Thesis title: The Numerical Methods for the Solution of Singular Integro- Differential Equations.
Visiting Universities
• April 2006-June 2006 Junior, Visiting Researcher, Department of Mathematics and its Applications, Central European University, Budapest, Hungary,
• February 2005- August 2005 Visiting Researcher, Department of Mathematics and Informatics, University of Trieste, Trieste, Italy,
• 15.09.04-14.12.04 Visiting Researcher, Technische Universitat, Faculty of Mathematics, Chemnitz, Germany,
• January 2003-April 2003 Visiting Researcher, NC State University, Department of Mathematics, Raleigh, USA.
Fields of Scientific Interests
• Collocation Methods, Singular Integral equations, Optimisation, Information Security, Mathematical Economics
Publications: more than 37th articles in journals and proceedings, 2 texts of lectures.