Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Botchev, M. A."'
Autor:
Nikolaev, K. V., Soltwisch, V., Botchev, M. A., Herrero, A. Fernández, Hönicke, P., Scholze, F., Yakunin, S. N.
In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a computational approach for the diffraction calculation for the nanoscale lam
Externí odkaz:
http://arxiv.org/abs/2410.14217
To solve the Cahn-Hilliard equation numerically, a new time integration algorithm is proposed, which is based on a combination of the Eyre splitting and the local iteration modified (LIM) scheme. The latter is employed to tackle the implicit system a
Externí odkaz:
http://arxiv.org/abs/2409.17736
Autor:
Botchev, M. A., Zhukov, V. T.
In this paper a variant of nonlinear exponential Euler scheme is proposed for solving nonlinear heat conduction problems. The method is based on nonlinear iterations where at each iteration a linear initial-value problem has to be solved. We compare
Externí odkaz:
http://arxiv.org/abs/2211.04227
We propose algorithms for efficient time integration of large systems of oscillatory second order ordinary differential equations (ODEs) whose solution can be expressed in terms of trigonometric matrix functions. Our algorithms are based on a residua
Externí odkaz:
http://arxiv.org/abs/2206.06909
Autor:
Botchev, M. A.
Time integration of advection dominated advection-diffusion problems on refined meshes can be a challenging task, since local refinement can lead to a severe time step restriction, whereas standard implicit time stepping is usually hardly suitable fo
Externí odkaz:
http://arxiv.org/abs/2010.04756
Autor:
Botchev, M. A.
An accurate residual--time (AccuRT) restarting for computing matrix exponential actions of nonsymmetric matrices by the shift-and-invert (SAI) Krylov subspace method is proposed. The proposed restarting method is an extension of the recently proposed
Externí odkaz:
http://arxiv.org/abs/1912.02643
Akademický článek
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Light incident on a layer of scattering material such as a piece of sugar or white paper forms a characteristic speckle pattern in transmission and reflection. The information hidden in the correlations of the speckle pattern with varying frequency,
Externí odkaz:
http://arxiv.org/abs/1707.00023
A parallel time integration method for nonlinear partial differential equations is proposed. It is based on a new implementation of the Paraexp method for linear partial differential equations (PDEs) employing a block Krylov subspace method. For nonl
Externí odkaz:
http://arxiv.org/abs/1509.04567
Autor:
Botchev, M. A., Zhukov, V. T.
Publikováno v:
Lobachevskii Journal of Mathematics; Jan2024, Vol. 45 Issue 1, p12-20, 9p
