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Image segmentation using CUDA implementations of the Runge-Kutta-Merson and GMRES methods
for solving the equation on the CUDA architecture. One of them is based on the Runge-Kutta-Merson method for the approximation of solutions of ordinary differential equations......
IN - Informatika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
One-Dimensional Anisotropic Surface Diffusion
This contribution deals with the motion law of anisotropic surface diffusion of graphs which is an important concept in epitaxial growth. The numerical scheme is based on the method of lines where the spatial derivatives are approximated by finite di...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Qualitative study of the Gray-Scott model
This contribution deals with numerical solution of the Gray-Scott model. We introduce two numerical schemes for the 2D GS model based on the method of lines. To perform spatial discretization we use FDM in first case and FEM in the second case. Resul...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Parallel Algorithm for Numerical Solution of Nonlinear Evolution
The article briefly summarizes numerical solution of Mean-Curvature Flow problem for the Level Set method and its parallelization. The numerical solution is based on spatial discretization by finite differences, and time discretization is given by th...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Application of the nonlinear Galerkin FEM method to the solution of the reaction diffusion equations
The article summarizes application of the nonlinear Galerkin method to the numerical solution of reaction-diffusion systems - the Gray-Scott model and simplified equation. The space discretization is performed by the finite-element method. For time i...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On a Numerical Scheme for the Willmore Flow
In this article we present two numerical schemes for the Willmore flow of graphs. Both of them are based on the method of lines. Resulting ordinary differential equations are solved using the 4th order Runge-Kutta-Merson so...
BA - Obecná matematika
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
CM-Charge-Heat-V-1. Compartment model heating computation of prism charge type.
. The system of equations is solved using the Merson modification of Runge-Kutta methodof...
JR - Ostatní strojírenství
- 2010 •
- R
Rok uplatnění
R - Software
Numerical solution of the 2D Gray-Scott model
In this contribution we are studing the Gray-Scott model. It was first introduced in an article by P. Gray and S. K. Scott in 1984. It is a system of two reaction-diffusion equations which models the autocatalytic chemical reaction U+2V->3V, V->P. We...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Computational Study of the Gray-Scott Model
In this contribution we are studing the Gray-Scott model. It was first introduced in an article by P. Gray and S. K. Scott in 1984. It is a system of two reaction-diffusion equations which models the autocatalytic chemical reaction U+2V->3V, V->P. We...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
WARM-CHARGE-V-2 - Cylindrical charge compartment model heating
by a system of the first order differential equations. To solve this system, the Merson's modified Runge-Kutta method of the 4th order is used. If necessary, it is also possible......
JR - Ostatní strojírenství
- 2011 •
- R
Rok uplatnění
R - Software
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