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Asymptotic behavior of solutions to the semidiscrete diffusion equation
We study the asymptotic behavior of bounded solutions to the one-dimensional diffusion (heat) equation with discrete space and continuous time. We show that a bounded solution approaches the average of the initial values if the average exist...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Transport equation on semidiscrete domains and Poisson-Bernoulli processes
In this paper we consider a scalar transport equation with constant coefficients on domains with discrete space and continuous, discrete or general time. We show that on all these underlying domains solutions of the transport equation can co...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Analysis of the Discontinuous Galerkin Method Applied to the European Option Pricing Problem
. We present a derivation of the numerical scheme based on the space semidiscretization of the model problem by the discontinuous Galerkin method with nonsymmetric......
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Method of Time Semidiscretization for a Viscous Cascade Flow
We analyze a model of incompressible viscous nonstationary flow through a cascade of profiles. We formulate a nonstationary problem and construct a solution by means of semidiscretization in time....
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Asymptotic behavior of solutions to the multidimensional semidiscrete diffusion equation
We study the asymptotic behavior of solutions to the multidimensional diffusion (heat) equation with continuous time and discrete space. We focus on initial-value problems with bounded initial data, and provide sufficient conditions for the ...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Dynamic diffusion-type equations on discrete-space domains
We consider a class of partial dynamic equations on discrete-space domains which includes, as a special case, the discrete-space versions of the diffusion (heat) equation. We focus on initial-value problems and study the existence a...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Performance of Various Ode Solvers on FV-Semidiscretized Nonstationary Compressible Euler Equations.
Within the general framework of Method of lines, numerical solution of the nonstationary compressible Euler equations in 1D, 2D and 3D is splitted into three steps: First, space discretization is performed by the first order finite volume me...
JA - Elektronika a optoelektronika, elektrotechnika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discontinuous Galerkin method for the solution of a transport level-set problem
of the space semidiscretization method of lines and in the case of the space-time error estimates and show that they are not sharp in the case of the space-time......
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Error analysis for local discontinuous Galerkin semidiscretization of Richards' equation
This paper concerns an error analysis of the space semidiscrete scheme for the Richards' equation modeling flows in variably saturated porous media. This nonlinear parabolic partial differential equation can degenerate; namely,...
Applied mathematics
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Maximum Principles for Discrete and Semidiscrete Reaction-Diffusion Equation
We study reaction-diffusion equations with a general reaction function on one-dimensional lattices with continuous or discrete time. We prove weak and strong maximum and minimum principles for corresponding initial-boundary value problems. Whereas th...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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