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The Conference will be under the aegis of the journal Computational methods in applied mathematics, and focus on various aspects of mathematical modeling and numerical methods for approximate solution of problems arising in science and engineering. Its scope coincides with the scope of the journal: numerical methods for initial and boundary value problems for differential and integral equations appearing in applied mathematics and mathematical physics. It aims, in particular, at fostering cooperation between researchers working in the area of theoretical numerical analysis and applications to modeling, simulation, and scientific computing. Another goal of the CMAM meetings is to improve existing contacts and to establish new ones between scientists from the West and the East. This is the fifth conference following earlier ones in Minsk in 2003, Trakai in 2005, Minsk in 2007, and Bedlewo in 2010. The working language of the conference is English. Main Topics Modern numerical methods for discretization of differential and integral equations Applications of numerical methods for solving problems of mathematical physics and engineering problems Parallel algorithms for solving systems of algebraic equations Optimal complexity of adaptive algorithms The scientific program includes invited plenary talks and contributed talks.