CLASSICAL PARADOXES OF COMPUTATIONAL PHYSICS IN MODERN SCIENCE AND EDUCATION
In modern education, in conditions of competence approach is a targeted use of the concept of educational models scientific research promotes early diagnosis of abilities and aptitudes of students to scientific activity on the basis of universal abilities and skills of mathematical and computer modeling. Development of creative abilities and personality traits of the learners related to the need for self-education is provided by matching the content of methodical system of training students ‘ skills and their age peculiarities. Discusses actual problems of improvement of methods of teaching and research activities in conditions of competence approach. The possibility of study of the classical paradoxes of computational physics in modern computer experiments. Given the statistical interpretation of the law of uniform energy distribution on the degrees of freedom in the numerical simulation results of a chain of nonlinear coupled oscillators Fermi-Pasta-Ulama. Discusses the methodological aspects of the study of fundamental of fundamental scientific problems and modern achievements in the field of computer modeling. The technique of energy calcula-tion of nanosized long chains. Partially solved the problem of the FPU, the results of numer-ical experiment with a statistical data processing. We used modern software and mathematical software, interactive graphics system of computer mathematics Maple 17.