We consider a semilinear differential-algebraic system of partial differential equations of index (k, 0). We numerically solve this system by applying the spline-collocation method based on splitting the matrix pencil...
We study quasilinear systems of integral equations that are linear with respect to the principal part and nonlinear with respect to the integral term. We formulate sufficient conditions for the local existence of a un...
We consider a class of multiple sums involving odd powers of natural numbers. Such sums appear while considering the continuous limit of the integrable hierarchy of evolution equations associated with the Itoh–Narita...
We consider a nonstationary system of differential-algebraic equations, i.e., the first order ordinary differential equations with variable coefficients and identically singular matrix at the derivative of the unknown...
We develop an algorithmic support for some classes of nonlinear optimal control problems. We propose several algorithms based on the first- and second order necessary conditions for solving optimal control problems wi...
The problem of software modeling having various models as sources and its transformation based on logical inference is considered. Source models are converted into graphs of RDF and then processed with knowledge based...
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The paper addresses the relevant problem related to the development of scientific applications (applied software packages) to solve large-scale problems in heterogeneous distributed computing environments that can inc...
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The urgency and directions of creation and development of integrated digital monitoring and assessment of changes in the ecosystem of Lake Baikal and its coastal area using large amounts of multi-format space-time the...
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An optimal control problem for a system of one dimensional hyperbolic conservation laws is considered. The system is controlled through the boundary condition, which depends on the state of a nonlinear controlsystem....
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This article discusses the implementation of the basic components of spatial data infrastructure for the implementation of interdisciplinary research. The main purpose of the components is to provide a common platform...
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