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Organized by Division of Numerical Analysis and Statistics, University of Rousse, Rousse, in cooperation with Department of Parallel Algorithms, Institute of Information and Communication Technologies , BAS, Sofia. Dear Colleague, Due to your recognized research and reputation in the area of numerical methods and applications, the Organizing Committee of the 7-th Conference on Finite Difference Methods: Theory and Applications, June 11June 16, 2018 has the honor to invite you to present a talkincluded in the scientific program of FDM: T&A'2018. We would also like to offer you the opportunity to organize a special session in the framework of FDM: T&A'2018. The main tracks of the conference are planned to be: Validation of finite difference methods for solving problems of mathematical physics; Combined finite difference and finite element methods;Iterative methods and parallel algorithms for solving grid equations; Finite difference methods for nonlinear problems; Inverse problems and problems of control; Finite difference methods in fluid and continuum mechanics; Numerical methods in stochastics; Applications of difference methods to engineering problems, biology, economics, etc.