Search Results - "R. Z. Dautov"

Finite Distributed Element Method for Fractal Element Analysis Based on Multilayer Resistive-Capacitive Media by Gilmutdinov, A. Kh, Dautov, R. Z., Ushakov, P. A.

“…It is shown that the analysis of fractal elements realized on the basis of an inhomogeneous multilayer resistive-capacitive medium using the classical finite…”
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Theorems on Direct and Inverse Approximation by Algebraic Polynomials and Piecewise Polynomials in the Spaces and by Dautov, R. Z.

“…The best estimates for the approximation error of functions, defined on a finite interval, by algebraic polynomials and piecewise polynomial functions are…”
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A Penalty Method for American Multi-Asset Option Problems by Dautov, R. Z.

“…In this paper, we consider the partial differential equations approach for valuing American style options on multiple assets. We develop and analyze a penalty…”
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Direct and Inverse Theorems of the Approximation of Functions by Algebraic Polynomials and Splines in the Norms of the Sobolev Space by Dautov, R. Z.

“…In the one-dimensional case, interpolation weighted Besov spaces have been defined, for the functions from which the direct and inverse estimates of the…”
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On Approximation of Functions on the Half-Line by Laguerre Polynomials and Functions by Dautov, R. Z.

“…In this paper, we define a parametric scale of non-uniformly Laguerre-weighted Sobolev spaces and a scale of spaces isometric to it. The second scale includes…”
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On Best Error Bounds for Approximations by Algebraic Polynomials and Splines in the Spaces and by Dautov, R. Z.

“…An analog of the well-known Jackson–Bernstein theory on best approximation by trigonometric polynomials is developed for approximation methods which use…”
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Penalty Methods for One-Sided Parabolic Problems with Piecewise Smooth Obstacles by Dautov, R. Z.

“…We give a relatively complete analysis of the penalty methods for one-sided parabolic problems with piecewise smooth obstacles, which include an important…”
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A Conservative Finite Element Scheme for the Kirchhoff Equation by R. Z. Dautov, M. V. Ivanova

“…This article presents an implicit two-layer finite element scheme for solving the Kirchhoff equation, a nonlinear nonlocal equation of hyperbolic type with the…”
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A conservative fully discrete finite element scheme for the nonlinear Klein–Gordon equation by R. Z. Dautov, G. R. Salimzyanova

“…This article proposes a family of the Petrov–Galerkin–FEM methods that can be used to solve the nonlinear Klein–Gordon equation. The discrete schemes were…”
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Implicit Finite Element Scheme with a Penalty for a Nonlocal Parabolic Obstacle Problem of Kirchhoff Type by Glazyrina, O. V., Dautov, R. Z., Myagkova, E. Y.

“…To solve a parabolic variational inequality with a nonlinear and nonlocal spatial operator depending on the Dirichlet integral and a one-sided constraint on…”
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Accuracy of an Implicit Scheme for the Finite Element Method with a Penalty for a Nonlocal Parabolic Obstacle Problem by Glazyrina, O. V., Dautov, R. Z., Gubaidullina, D. A.

“…In order to solve a parabolic variational inequality with a nonlocal spatial operator and a one-sided constraint on the solution, a numerical method based on…”
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Error Estimates for Backward Euler Finite Element Approximations of American Call Option Valuation by Dautov, R. Z., Lapin, A. V.

“…We investigate the degenerate parabolic variational inequality arising from the local volatility model for the American stock call option with continuous…”
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Approximations of Evolutionary Inequality with Lipschitz-continuous Functional and Minimally Regular Input Data by Dautov, R. Z., Lapin, A. V.

“…The convergence and accuracy of approximations of evolutionary inequality with a linear bounded operator and a convex and Lipschitz-continuous functional are…”
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On inf-sup conditions and projections in the theory of mixed finite-element methods by Dautov, R. Z.

“…We indicate constraints on the space of finite elements providing the validity of discrete inf-sup conditions and the existence of projections specific for…”
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Investigation of Lagrange–Galerkin Method for an Obstacle Parabolic Problem by Dautov, R. Z., Lapin, A. V.

“…The convergence and accuracy estimates are proved for Lagrange–Galerkin method, used for approximating the parabolic obstacle problem. The convergence analysis…”
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Error estimates for a Galerkin method with perturbations for spectral problems of the theory of dielectric waveguides by Dautov, R. Z., Karchevskii, E. M.

“…We obtain error estimates for a Galerkin method with perturbations for approximating eigenvalues and eigenfunctions of one class of abstract spectral problems…”
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Hybridized schemes of the discontinuous Galerkin method for stationary convection–diffusion problems by Dautov, R. Z., Fedotov, E. M.

“…For stationary linear convection–diffusion problems, we construct and study a new hybridized scheme of the discontinuous Galerkin method on the basis of an…”
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Sharp estimates for the polynomial approximation in weighted Sobolev spaces by Dautov, R. Z., Timerbaev, M. R.

“…We obtain sharp estimates for the accuracy of the best approximation of functions by algebraic polynomials on an interval, the half-line, and the entire line…”
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Abstract theory of hybridizable discontinuous Galerkin methods for second-order quasilinear elliptic problems by Dautov, R. Z., Fedotov, E. M.

“…An abstract theory for discretizations of second-order quasilinear elliptic problems based on the mixed-hybrid discontinuous Galerkin method. Discrete schemes…”
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Accuracy of discrete schemes for a class of abstract evolution inequalities by Dautov, R. Z., Mikheeva, A. I.

“…For a triple of Hilbert spaces { V, H, V *}, we study a discrete and a semidiscrete scheme for an evolution inclusion of the form u ′( t ) + A ( t ) u ( t ) +…”
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