Zobrazeno 1 - 10
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pro vyhledávání: '"Vabishchevich, P. N."'
Autor:
Vabishchevich, Petr N.
Formulating boundary value problems for multidimensional partial derivative equations in terms of invariant operators of vector (tensor) analysis is convenient. Computational algorithms for approximate solutions are based on constructing grid analogs
Externí odkaz:
http://arxiv.org/abs/2409.16151
Autor:
Vabishchevich, Petr N.
Numerical methods of approximate solution of the Cauchy problem for coupled systems of evolution equations are considered. Separating simpler subproblems for individual components of the solution achieves simplification of the problem at a new level
Externí odkaz:
http://arxiv.org/abs/2408.13553
Autor:
Vabishchevich, P. N.
Stable computational algorithms for the approximate solution of the Cauchy problem for nonstationary problems are based on implicit time approximations. Computational costs for boundary value problems for systems of coupled multidimensional equations
Externí odkaz:
http://arxiv.org/abs/2403.18472
Autor:
Vabishchevich, P. N.
The approximate solution of the Cauchy problem for second-order evolution equations is performed, first of all, using three-level time approximations. Such approximations are easily constructed and relatively uncomplicated to investigate when using u
Externí odkaz:
http://arxiv.org/abs/2303.00421
Autor:
Vabishchevich, Petr N.
In computational practice, most attention is paid to rational approximations of functions and approximations by the sum of exponents. We consider a wide enough class of nonlinear approximations characterized by a set of two required parameters. The a
Externí odkaz:
http://arxiv.org/abs/2301.05881
Autor:
Vabishchevich, Petr N.
The reduction of computational costs in the numerical solution of nonstationary problems is achieved through splitting schemes. In this case, solving a set of less computationally complex problems provides the transition to a new level in time. The t
Externí odkaz:
http://arxiv.org/abs/2206.12143
In this paper, we consider a class of convection-diffusion equations with memory effects. These equations arise as a result of homogenization or upscaling of linear transport equations in heterogeneous media and play an important role in many applica
Externí odkaz:
http://arxiv.org/abs/2204.00554
Autor:
Vabishchevich, Petr N.
It is necessary to use more general models than the classical Fourier heat conduction law to describe small-scale thermal conductivity processes. The effects of heat flow memory and heat capacity memory (internal energy) in solids are considered in f
Externí odkaz:
http://arxiv.org/abs/2111.14090
Autor:
Vabishchevich, Petr N.
We consider the Cauchy problem for a first-order evolution equation with memory in a finite-dimensional Hilbert space when the integral term is related to the time derivative of the solution. The main problems of the approximate solution of such nonl
Externí odkaz:
http://arxiv.org/abs/2111.05121