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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. 767-774Views (last year): 1.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.
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The Task of Search Viable Therapy Strategy for a Mathematical Spatial Cancer Model
Computer Research and Modeling, 2013, v. 5, no. 4, pp. 749-765Views (last year): 1.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.
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International Interdisciplinary Conference "Mathematics. Computing. Education"