• master the basic principles of mathematical modeling;
• be able to build mathematical models of processes of heat-mass transfer, electrodynamics, gas dynamics, hydromechanics, deformation, propagation of waves;
• understand the limits of application of mathematical models;
• be able to choose a rational method and to build an algorithm for solving formulated problems, as well as to develop appropriate software for computer simulation;
• navigate the capabilities of developed software systems for computer modeling of nonlinear processes and be able to use at least one of them;
• be able to conduct a computational experiment and analyze its results

Prerequisites: Mathematical analysis; Differential equations; Functional analysis; Numerical methods; The equation of mathematical physics.
Corequisites: Mathematical models in the mechanics of a deformable solid; Mathematical models of thermomechanics

Basic concepts and positions of mathematical modeling of nonlinear processes of heat-mass transfer, electrodynamics, deformation, wave propagation. Features of nonlinear formulations. Approaches and methods for solving formulated problems. Versatile software systems that enable the investigation of complex nonlinear processes by computer simulation.

Brebbia K., Walker S. Application of the boundary element method in engineering. - M .: Mir, 1982. - 248p.
2. Finite element method in solid mechanics / Ed. Sakharova AS, Altenbach I. - Kiev: Higher School, 1982. - 480 p.
3. Podstrigach YS, Burak YI, Gachkevich AR, Chernyavskaya LV. Thermoelasticity of conductive bodies. - Kiev: Sciences. opinion, 1977 - 248 p
4. Richtmeyer R., Morton K. Differential methods for solving boundary value problems. –M .: Mir, 1972, 418 p.
5. Sedov LI Solid environment mechanics. Volume 1. - M .: Science, 1970, 492 p.
6. Sedov LI Solid environment mechanics. Volume 2. - M .: Science, 1970, 568 p.
7. Modeling and optimization in thermomechanics of electrically conductive inhomogeneous bodies / ed. by Ya.Y. Burak, R.M. Kushnir. Volume 4: Thermomechanics of magnetizable electrically conductive thermosensitive bodies / OR. Gachkevich, B.D. Drobenko - Lviv: SPOLOM, 2010. - 256 p

Current control (50%): test assessment, homeworks, and individual tasks. Final control (50% exam)