9 research outputs found
Advanced Numerical Methods for Complex Scientific and Engineering Problems: Editorial Introduction
Methods and Algorithms for a High-Level Synthesis of the Very-Large-Scale Integration
We develop methods and algorithms for a high-level synthesis and a formal verification of the architecture for very-large-scale integration (VLSI). The proposed approach is based on the functional-flow paradigm of parallel computing and enables one to perform architecture-independent VLSI synthesis by the construction of a computing model in the form of intermediate structures of control and data graphs. This approach also provides an opportunity to verify a design at the formal description stage before the synthesis of the register-gate representation. Algorithms and methods are developed for the construction and optimization of an intermediate representation of a computing model, the verification, and going to the register-gate description of VLSI. The stages of the high-level VLSI synthesis are formed in the context of the proposed technique. An example of the synthesis of a typical module is considered for a digital signal processing. Results of the practical modeling are presented for an example
A Computational Realization of a Semi-Lagrangian Method for Solving the Advection Equation
A parallel implementation of a method of the semi-Lagrangian type for the advection equation on a hybrid architecture computation system is discussed. The difference scheme with variable stencil is constructed on the base of an integral equality between the neighboring time levels. The proposed approach allows one to avoid the Courant-Friedrichs-Lewy restriction on the relation between time step and mesh size. The theoretical results are confirmed by numerical experiments. Performance of a sequential algorithm and several parallel implementations with the OpenMP and CUDA technologies in the C language has been studied
Methods and Algorithms for a High-Level Synthesis of the Very-Large-Scale Integration
We develop methods and algorithms for a high-level synthesis and a formal verification of the architecture for very-large-scale integration (VLSI). The proposed approach is based on the functional-flow paradigm of parallel computing and enables one to perform architecture-independent VLSI synthesis by the construction of a computing model in the form of intermediate structures of control and data graphs. This approach also provides an opportunity to verify a design at the formal description stage before the synthesis of the register-gate representation. Algorithms and methods are developed for the construction and optimization of an intermediate representation of a computing model, the verification, and going to the register-gate description of VLSI. The stages of the high-level VLSI synthesis are formed in the context of the proposed technique. An example of the synthesis of a typical module is considered for a digital signal processing. Results of the practical modeling are presented for an example
Thermistor Temperature Measurement Network with a Small Number of Wires
Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π° Π½ΠΎΠ²Π°Ρ ΠΈΠ·ΠΌΠ΅ΡΠΈΡΠ΅Π»ΡΠ½Π°Ρ ΡΡ
Π΅ΠΌΠ° Π΄Π»Ρ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ Π½Π°
ΠΌΠ½ΠΎΠΆΠ΅ΡΡΠ²Π΅ ΡΠΎΡΠ΅ΠΊ ΠΈΠ·Π΄Π΅Π»ΠΈΡ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΡΡΠΈ ΡΠ΅ΡΠΌΠΎΡΠ΅Π·ΠΈΡΡΠΎΡΠΎΠ² ΠΈ Π΄ΠΈΠΎΠ΄ΠΎΠ² Ρ ΡΡΠ΅ΠΌΡ ΡΠΎΠ΅Π΄ΠΈΠ½ΠΈΡΠ΅Π»ΡΠ½ΡΠΌΠΈ ΠΏΡΠΎΠ²ΠΎΠ΄Π°ΠΌΠΈ ΠΈ Π΄Π²ΡΠΌΡ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠ°ΠΌΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ
ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΈ ΡΠ°ΡΡΠ΅ΡΠ½ΡΠΉ Π°Π»Π³ΠΎΡΠΈΡΠΌ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡ ΡΠΎΠΏΡΠΎΡΠΈΠ²Π»Π΅Π½ΠΈΡ ΡΠ΅ΡΠΌΠΎΡΠ΅Π·ΠΈΡΡΠΎΡΠΎΠ²,
ΡΠΎΡΡΠΎΡΡΠΈΠ΅ Π² ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ ΠΏΠΎΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎΠΌ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΡΠΈΡΡΠ΅ΠΌ Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΏΡΠΈ ΡΠ°Π·Π½ΡΡ
ΡΠΎΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ Π΄Π²ΡΡ
ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² ΠΏΠΈΡΠ°Π½ΠΈΡ. Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½Π°
ΠΌΠΎΠ΄Π΅Π»ΡΠ½Π°Ρ Π·Π°Π΄Π°ΡΠ° ΠΈ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°The article proposes a new measuring circuit for temperature control at multiple points of the
product using a sequence of thermistors and diodes with three connecting wires and two voltage
sources. A mathematical model and a computational algorithm for calculating the resistance of
thermistors are presented which consist in the formation and sequential solution of systems of
linear algebraic equations for different ratios of voltages of two power sources. A model problem
and the results of a computational experiment are considere
ΠΠΎΠ΄Π΅Π»Ρ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ SIRV-D Π΄Π»Ρ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΡΡΠ΅Π½Π°ΡΠΈΠ΅Π² ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½ΠΈΡ COVID-19
The article presents the compartmental differential formulation of SIR-type for modeling the
dynamics of the incidence of viral infections, in particular COVID-19, taking into account the ongoing
vaccination campaign and the possibility of losing immunity during some time period after vaccination or
a disease. The proposed model is extended by considering the coefficients of the model as dependent on
the social loyalty of the population to isolation and vaccination. This allows us to formulate the optimal
control problem and build various scenarios for the development of the epidemiological situation. The
results obtained on the basis of the considered models were compared with real statistical data on the
incidence in the Krasnoyarsk TerritoryΠ ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° ΠΊΠ°ΠΌΠ΅ΡΠ½Π°Ρ Π΄ΠΈΡΡΠ΅ΡΠ΅Π½ΡΠΈΠ°Π»ΡΠ½Π°Ρ ΠΏΠΎΡΡΠ°Π½ΠΎΠ²ΠΊΠ° SIR-ΡΠΈΠΏΠ° Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΠΈ Π²ΠΈΡΡΡΠ½ΡΠΌΠΈ ΠΈΠ½ΡΠ΅ΠΊΡΠΈΡΠΌΠΈ, Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ COVID-19, Ρ ΡΡΠ΅ΡΠΎΠΌ
ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠΌΠΎΠΉ ΠΊΠ°ΠΌΠΏΠ°Π½ΠΈΠΈ Π²Π°ΠΊΡΠΈΠ½Π°ΡΠΈΠΈ ΠΈ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΏΠΎΡΠ΅ΡΠΈ ΠΈΠΌΠΌΡΠ½ΠΈΡΠ΅ΡΠ° ΡΠ΅ΡΠ΅Π· Π½Π΅ΠΊΠΎΡΠΎΡΡΠΉ ΠΏΡΠΎΠΌΠ΅ΠΆΡΡΠΎΠΊ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ ΠΏΠΎΡΠ»Π΅ Π²Π°ΠΊΡΠΈΠ½Π°ΡΠΈΠΈ ΠΈΠ»ΠΈ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π½ΠΈΡ. ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΡΠ°ΡΡΠΈΡΠ΅Π½Π° Π·Π° ΡΡΠ΅Ρ ΡΡΠ΅ΡΠ°
ΠΊΠΎΡΡΡΠΈΡΠΈΠ΅Π½ΡΠΎΠ² ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΊΠ°ΠΊ Π·Π°Π²ΠΈΡΠΈΠΌΡΡ
ΠΎΡ ΡΠΎΡΠΈΠ°Π»ΡΠ½ΠΎΠΉ Π»ΠΎΡΠ»ΡΠ½ΠΎΡΡΠΈ Π½Π°ΡΠ΅Π»Π΅Π½ΠΈΡ ΠΊ ΠΈΠ·ΠΎΠ»ΡΡΠΈΠΈ ΠΈ Π²Π°ΠΊΡΠΈΠ½Π°ΡΠΈΠΈ. ΠΡΠΎ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²Π°ΡΡ Π·Π°Π΄Π°ΡΡ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΈ ΠΏΠΎΡΡΡΠΎΠΈΡΡ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ ΡΡΠ΅Π½Π°ΡΠΈΠΈ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΡΠΏΠΈΠ΄Π΅ΠΌΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΈΡΡΠ°ΡΠΈΠΈ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠ°ΡΡΠΌΠΎΡΡΠ΅Π½Π½ΡΡ
ΠΌΠΎΠ΄Π΅Π»Π΅ΠΉ, ΡΡΠ°Π²Π½ΠΈΠ²Π°Π»ΠΈΡΡ Ρ ΡΠ΅Π°Π»ΡΠ½ΡΠΌΠΈ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ Π΄Π°Π½Π½ΡΠΌΠΈ ΠΎ Π·Π°Π±ΠΎΠ»Π΅Π²Π°Π΅ΠΌΠΎΡΡΠΈ Π² ΠΡΠ°ΡΠ½ΠΎΡΡΡΠΊΠΎΠΌ
ΠΊΡΠ°
Grid Method of Collective Guidance and Controlled Target Distribution of a Group of Missiles in the Interests of Group Air Targets Effective Attack
Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π½Π°ΡΡΠ½ΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ Π³ΡΡΠΏΠΏΠΎΠ²ΡΡ
Π²ΠΎΠ·Π΄ΡΡΠ½ΡΡ
ΡΠ΅Π»Π΅ΠΉ, Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½Π½ΠΎΠΉ Π½Π° ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Ρ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ»ΡΡΡΠ°Π΅ΠΌΠΎΠΉ
ΡΠΈΡΡΠ΅ΠΌΡ Π½Π°Π²Π΅Π΄Π΅Π½ΠΈΡ, Π° Π·Π½Π°ΡΠΈΡ, Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ Π΅Ρ ΡΠ²ΠΎΠΉΡΡΠ²Π°. ΠΠ±ΠΎΠ·Π½Π°ΡΠ΅Π½ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π² Π²ΠΈΠ΄Π΅
ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠ³ΠΎ Π°Π²ΡΠΎΡΠ°ΠΌΠΈ Π΄Π²ΡΡ
ΡΡΠ°ΠΏΠ½ΠΎΠ³ΠΎ ΡΠ΅ΡΠΎΡΠ½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΊΠΎΠ»Π»Π΅ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π½Π°Π²Π΅Π΄Π΅Π½ΠΈΡ ΠΈ
ΡΠΏΡΠ°Π²Π»ΡΠ΅ΠΌΠΎΠ³ΠΎ ΡΠ΅Π»Π΅ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π³ΡΡΠΏΠΏΡ ΡΠ°ΠΊΠ΅Ρ Π² ΠΈΠ½ΡΠ΅ΡΠ΅ΡΠ°Ρ
ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΠΉ Π°ΡΠ°ΠΊΠΈ Π³ΡΡΠΏΠΏΠΎΠ²ΠΎΠΉ
Π²ΠΎΠ·Π΄ΡΡΠ½ΠΎΠΉ ΡΠ΅Π»ΠΈ, ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎ ΠΊΡΠΈΡΠ΅ΡΠΈΡ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌΠ° Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠΈ Π΅Ρ ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ β
ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ Π²ΡΠ΅Ρ
Π΅Ρ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ²The article discusses solving actual scientific problem destruction of group destruction of group air
targets aimed at increasing the efficiency index is improved guidance system, which means that the
characteristics of its properties. Denotes the solution proposed by the authors in the form of a twophase
grid method of collective guidance and target distribution groups managed in the interests of
effective missile attack group air targets, optimal criterion of maximum propability of its destruction β
the destruction of all of its element
Grid Method of Collective Guidance and Controlled Target Distribution of a Group of Missiles in the Interests of Group Air Targets Effective Attack
Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π°ΠΊΡΡΠ°Π»ΡΠ½ΠΎΠΉ Π½Π°ΡΡΠ½ΠΎΠΉ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ Π³ΡΡΠΏΠΏΠΎΠ²ΡΡ
Π²ΠΎΠ·Π΄ΡΡΠ½ΡΡ
ΡΠ΅Π»Π΅ΠΉ, Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½Π½ΠΎΠΉ Π½Π° ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»Ρ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΠΈ ΡΠ»ΡΡΡΠ°Π΅ΠΌΠΎΠΉ
ΡΠΈΡΡΠ΅ΠΌΡ Π½Π°Π²Π΅Π΄Π΅Π½ΠΈΡ, Π° Π·Π½Π°ΡΠΈΡ, Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ Π΅Ρ ΡΠ²ΠΎΠΉΡΡΠ²Π°. ΠΠ±ΠΎΠ·Π½Π°ΡΠ΅Π½ΠΎ ΡΠ΅ΡΠ΅Π½ΠΈΠ΅ Π² Π²ΠΈΠ΄Π΅
ΠΏΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΠΎΠ³ΠΎ Π°Π²ΡΠΎΡΠ°ΠΌΠΈ Π΄Π²ΡΡ
ΡΡΠ°ΠΏΠ½ΠΎΠ³ΠΎ ΡΠ΅ΡΠΎΡΠ½ΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΊΠΎΠ»Π»Π΅ΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ Π½Π°Π²Π΅Π΄Π΅Π½ΠΈΡ ΠΈ
ΡΠΏΡΠ°Π²Π»ΡΠ΅ΠΌΠΎΠ³ΠΎ ΡΠ΅Π»Π΅ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π³ΡΡΠΏΠΏΡ ΡΠ°ΠΊΠ΅Ρ Π² ΠΈΠ½ΡΠ΅ΡΠ΅ΡΠ°Ρ
ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΠΉ Π°ΡΠ°ΠΊΠΈ Π³ΡΡΠΏΠΏΠΎΠ²ΠΎΠΉ
Π²ΠΎΠ·Π΄ΡΡΠ½ΠΎΠΉ ΡΠ΅Π»ΠΈ, ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎ ΠΊΡΠΈΡΠ΅ΡΠΈΡ ΠΌΠ°ΠΊΡΠΈΠΌΡΠΌΠ° Π²Π΅ΡΠΎΡΡΠ½ΠΎΡΡΠΈ Π΅Ρ ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ β
ΡΠ½ΠΈΡΡΠΎΠΆΠ΅Π½ΠΈΡ Π²ΡΠ΅Ρ
Π΅Ρ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ²The article discusses solving actual scientific problem destruction of group destruction of group air
targets aimed at increasing the efficiency index is improved guidance system, which means that the
characteristics of its properties. Denotes the solution proposed by the authors in the form of a twophase
grid method of collective guidance and target distribution groups managed in the interests of
effective missile attack group air targets, optimal criterion of maximum propability of its destruction β
the destruction of all of its element