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Time-discrete geometrical integration of finite deformations
Employing natural Riemannian geometry of the space deformation tensors, inherited from the principle of virtual power, enables exact and geometrically consistent procedure for linearization and integration of a finite deformation process in time vari...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Time-discrete integration of finite deformations
Some necessary implications for the time discrete integration of finite deformations will be discussed together with particular Runge--Kutta--Munthe-Kaas schemes, when the geometrical structure of the space of Cauc...
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Evolution equation of Lie-type for finite deformations, and its time-discrete integration
, such as the Runge-Kutta-Munthe-Kaas method, or also briefly mentioned the semi-discrete Magnus and Fer expansion methods....
Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
- 2017 •
- C
Rok uplatnění
C - Kapitola v odborné knize
Evolution equation of Lie-type for finite deformations, time-discrete integration, and incremental methods
deformation processes, such as the Runge-Kutta-Munthe-Kaas method. The need to solve...
Statistics and probability
- 2015 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Implicit-explicit Runge-Kutta discontinuous Galerkin finite element method for convection-diffusion problems
Implicit-explicit Runge-Kutta discontinuous Galerkin finite element method for convection-diffusion problems...
BK - Mechanika tekutin
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
On Runge-Kutta, collocation and discontinuous Galerkin methods: mutual connections and resulting consequences to the analysis
It is shown that discontinuous Galerkin method has natural mutual connection to collocation methods and Runge-Kutta methods. This connection enables us to employ the techniques of proofs developed for any ...
BA - Obecná matematika
- 2015 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods
) in space with arbitrary (embedded, higher-order, implicit) Runge-Kutta methods in time. Weak formulation is only created for the stationary residual, and the Runge-Kutta for various Runge-Ku...
JA - Elektronika a optoelektronika, elektrotechnika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Analysis of semi-implicit Runge-Kutta-DGFEM for a semilinear convection-diffusion equation
We deal with the numerical solution of the semilinear convection-diffusion equation. The space discretization is carried out by discontinuous Galerkin finite element method and for the time discretization we employ suitable combination of im...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Time discretizations for evolution problems
and Runge-Kutta methods together with order reduction phenomenon is discussed.The aim of this work is to give an introductory survey on time discretizations for liner parabolic problems. The theory of stability for stiff o...
Applied mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Before we´ll Set Of for the Computer with the Cauchy´s Problem for on Ordinary Diferential Equation
The contribution deal with the methods of Runge-Kutta type suitable for solution of the Cauchy´s problem using computer.
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
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