Specialty S05.13.18

Specialty code: 05.13.18 - Mathematical simulation, numerical methods and programs’ complexes

Specialty content: The specialty encompasses development of basics and application of mathematical simulation, numerical methods and programs’ complexes to solve scientific and technical, fundamental and practical problems, as well as studying of mathematical models for physical, chemical, biological and other scientific and natural as well as social, economic and technical objects.

Field of study:

Developing of new mathematical simulation methods for objects and phenomena enumerated in the specialty content.

Developing, studying and explanation of mathematical objects enumerated in the specialty content.

Developing of qualitative and approximated analytical methods of studying mathematical models.

Developing, explaining and testing of efficient numerical methods by computer.

Implementation of efficient numerical methods and algorithms in the form of problem-oriented programs’ complexes to perform computational experiment.

Complex analysis of scientific and technical issues applying modern technology of mathematical simulation and computational experiment.

Developing of new methods and algorithms testing the adequacy of mathematical models to objects basing on the data from real-scale experiment.

Developing of new mathematical methods and algorithms to interpret real-scale experiment basing on its mathematical model.

Developing of simulation modeling systems.

Related specialties

Post-graduate papers are referred to other specialties in case certain aspects dominate: - methods of function theory and functional analysis –to specialty 01.01.01 – “Mathematical analysis” and 01.01.02 – “Differential equations”; issues concerning the existence and unicity of problem solving, arising in the course of studying mathematical models by differential equations –to specialty 01.01.02 – “Differential equations”; theoretical questions of numerical methods studying – to specialty 01.01.07 – “Computational mathematics” – issues of programming and computation automation – to specialty 05.13.11 –“Mathematical and software support of computing machinery, complexes and computer networks” ;  - physical, chemical, technical, economic and other problems – to corresponding specialties “Specialties’ list for research assistants” (e.g. to specialty 01.04.02 – “Theoretical physics”).

Note: The specialty includes no studies in the following fields: - design of automated systems controlling and managing technical objects and technological processes for separate branches; elements and devices of computing machinery and control systems; - general purpose mathematical and software support of computing machinery, complexes and computer networks.

Fields of science:

Engineering sciences (study of all problems),

chemical sciences,
physico-mathematical sciences (study of all problems with domination of mathematical methods as a means of researches as well as in attaining results in the form of new mathematical methods, computing algorithms and new regularities characterizing the objects under study),

biological sciences,

geological and mineralogical sciences.