Výsledky vyhledávání - "Piotr P. Matus"

Monotone Finite-Difference Schemes of Second-Order Accuracy for Quasilinear Parabolic Equations with Mixed Derivatives

Autor: Le Minh Hieu, Dorota Pylak, Piotr P. Matus

Publikováno v: Differential Equations. 55:424-436

We consider the initial-boundary value problem for quasilinear parabolic equation with mixed derivatives and an unbounded nonlinearity. We construct unconditionally monotone and conservative finite-difference schemes of the second-order accuracy for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::360183e44babea235215acfdb1d3b9ce
https://doi.org/10.1134/s0012266119030157

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On the consistent two-side estimates for the solutions of quasilinear convection–diffusion equations and their approximations on non-uniform grids

Autor: Le Minh Hieu, Piotr P. Matus, Dmitriy Poliakov

Publikováno v: Journal of Computational and Applied Mathematics. 340:571-581

A new second-order in space linearized difference scheme on non-uniform grid that approximates the Dirichlet problem for multidimensional quasilinear convection–diffusion equation with unbounded nonlinearity is constructed. Proposed algorithm is a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b97385ca35c7a6efd06edc2ef7733f0b
https://doi.org/10.1016/j.cam.2017.09.020

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Coefficient Stability of the Solution of a Difference Scheme Approximating a Mixed Problem for a Semilinear Parabolic Equation

Autor: Piotr P. Matus, S. V. Lemeshevsky

Publikováno v: Differential Equations. 54:929-937

We study the coefficient stability of a difference scheme approximating a mixed problem for a one-dimensional semilinear parabolic equation. We obtain sufficient conditions on the input data under which the solutions of the differential and differenc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5bb335dba4239f566a0d3675dce019d8
https://doi.org/10.1134/s0012266118070108

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Difference Schemes on Nonuniform Grids for the Two-Dimensional Convection–Diffusion Equation

Autor: Le Minh Hieu, Piotr P. Matus

Publikováno v: Computational Mathematics and Mathematical Physics. 57:1994-2004

New second-order accurate monotone difference schemes on nonuniform spatial grids for two-dimensional stationary and nonstationary convection–diffusion equations are proposed. The monotonicity and stability of the solutions of the computational met

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::02cd57c69bd288475592beaddc34611e
https://doi.org/10.1134/s0965542517120107

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Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations

Autor: D. B. Poliakov, Piotr P. Matus

Publikováno v: Differential Equations. 53:964-973

For a linearized finite-difference scheme approximating the Dirichlet problem for a multidimensional quasilinear parabolic equation with unbounded nonlinearity, we establish pointwise two-sided solution estimates consistent with similar estimates for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6322feaf3f1e71d9f05e051b4d41e417
https://doi.org/10.1134/s0012266117070126

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Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations

Autor: Le Minh Hieu, Piotr P. Matus, Lubin G. Vulkov

Publikováno v: Journal of Computational and Applied Mathematics. 310:186-199

On the base of the maximum principles two-sided estimates for solutions of difference schemes are proved without any assumption of sign-definiteness of input data. Second order unconditional monotone difference scheme for quasilinear convection-diffu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::de441f78c6a548c357d63257fcd7c32d
https://doi.org/10.1016/j.cam.2016.04.006

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On the role of conservation laws and input data in the generation of peaking modes in quasilinear multidimensional parabolic equations with nonlinear source and in their approximations

Autor: Piotr P. Matus, D. A. Shchadinskii, N. G. Churbanova

Publikováno v: Differential Equations. 52:942-950

We study unbounded solutions of a broad class of initial–boundary value problems for multidimensional quasilinear parabolic equations with a nonlinear source. By using a conservation law, we obtain conditions imposed solely on the input data and en

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::073c753f2fd9925650989351c92b6f7d
https://doi.org/10.1134/s0012266116070120

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Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions

Autor: Francisco J. Lisbona, Piotr P. Matus, Francisco J. Gaspar, Vo Thi Kim Tuyen

Publikováno v: Computational Methods in Applied Mathematics. 16:231-243

In this paper, we consider finite difference methods for two-dimensional quasilinear parabolic problems with mixed Dirichlet–Neumann boundary conditions. Some strong two-side estimates for the difference solution are provided and convergence result

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e725ed1f8e2907a30bbb4dc8d1d4f463
https://doi.org/10.1515/cmam-2016-0002

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