Результаты поиска по 'mathematical modelling':
Найдено статей: 303
  1. Degtyarev A.B., Yezhakova T.R., Khramushin V.N.
    Algorithmic construction of explicit numerical schemes and visualization of objects and processes in the computational experiment in fluid mechanics
    Computer Research and Modeling, 2015, v. 7, no. 3, pp. 767-774

    The paper discusses the design and verification stages in the development of complex numerical algorithms to create direct computational experiments in fluid mechanics. The modeling of physical fields and nonstationary processes of continuum mechanics, it is desirable to rely on strict rules of construction the numerical objects and related computational algorithms. Synthesis of adaptive the numerical objects and effective arithmetic- logic operations can serve to optimize the whole computing tasks, provided strict following and compliance with the original of the laws of fluid mechanics. The possibility of using ternary logic enables to resolve some contradictions of functional and declarative programming in the implementation of purely applied problems of mechanics. Similar design decisions lead to new numerical schemes tensor mathematics to help optimize effectiveness and validate correctness the simulation results. The most important consequence is the possibility of using interactive graphical techniques for the visualization of intermediate results of modeling, as well as managed to influence the course of computing experiment under the supervision of engineers aerohydrodynamics– researchers.

    Keywords: tensor mathematics, large particles, fluidmechanics, computational experiment, design, verifying Citation:.
    Views (last year): 1.
  2. Ershov N.M., Popova N.N.
    Natural models of parallel computations
    Computer Research and Modeling, 2015, v. 7, no. 3, pp. 781-785

    Course “Natural models of parallel computing”, given for senior students of the Faculty of Computational Mathematics and Cybernetics, Moscow State University, is devoted to the issues of supercomputer implementation of natural computational models and is, in fact, an introduction to the theory of natural computing, a relatively new branch of science, formed at the intersection of mathematics, computer science and natural sciences (especially biology). Topics of the natural computing include both already classic subjects such as cellular automata, and relatively new, introduced in the last 10–20 years, such as swarm intelligence. Despite its biological origin, all these models are widely applied in the fields related to computer data processing. Research in the field of natural computing is closely related to issues and technology of parallel computing. Presentation of theoretical material of the course is accompanied by a consideration of the possible schemes for parallel computing, in the practical part of the course it is supposed to perform by the students a software implementation using MPI technology and numerical experiments to investigate the effectiveness of the chosen schemes of parallel computing.

    Keywords: natural computing, evolutionary algorithms, artificial life.
    Views (last year): 17. Citations: 2 (RSCI).
  3. Kovalenko S.Yu., Bratus A.S.
    The Task of Search Viable Therapy Strategy for a Mathematical Spatial Cancer Model
    Computer Research and Modeling, 2013, v. 5, no. 4, pp. 749-765

    This paper is devoted to the analysis of the partial mathematical model describing the process of growth and spread of malignant and normal cells under the influence of chemotherapy. We found the periodic therapy regime, conditions the existence of this regime and suggest the search algorithm of this regime. This paper also includes the examples of simulation and the set of parameter values.

    Keywords: viable task, glioma, periodic therapy regime.
    Views (last year): 1.
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