Результаты поиска по 'complex modeling':
Найдено статей: 192
  1. Bogdanov A.V., Mareev V.V., Stepanov E.A., Panchenko M.V.
    Modeling of behavior of the option. The formulation of the problem
    Computer Research and Modeling, 2015, v. 7, no. 3, pp. 759-766

    Object of research: The creation of algorithm for mass computations of options‘ price for formation of a riskless portfolio. The method is based on the generalization of the Black–Scholes method. The task is the modeling of behavior of all options and tools for their insurance. This task is characterized by large volume of realtime complex computations that should be executed concurrently The problem of the research: depending on conditions approaches to the solution should be various. There are three methods which can be used with different conditions: the finite difference method, the path-integral approach and methods which work in conditions of trade stop. Distributed computating in these three cases is organized differently and it is necessary to involve various approaches. In addition to complexity the mathematical formulation of the problem in literature is not quite correct. There is no complete description of boundary and initial conditions and also several hypotheses of the model do not correspond to real market. It is necessary to give mathematically correct formulation of the task, and to neutralize a difference between hypotheses of the model and their prototypes in the market. For this purpose it is necessary to expand standard formulation by additional methods and develop methods of realization for each of solution branches.

    Keywords: financial mathematics, options pricing, asian option, wellposedness formulation, boundary conditions.
    Views (last year): 2. Citations: 1 (RSCI).
  2. 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.
Pages: « first previous

Indexed in Scopus

Full-text version of the journal is also available on the web site of the scientific electronic library eLIBRARY.RU

The journal is included in the Russian Science Citation Index

The journal is included in the RSCI

International Interdisciplinary Conference "Mathematics. Computing. Education"

Copyright © 2009–2025 Institute of Computer Science