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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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

Finite Volume Modelling of Compressible Inviscid Flows Using Runge-Kutta Time-Stepping Schemes

of Euler equations. To solve this system, the explicit Runge-Kutta time stepping by the Runge-Kutta schemes, two types of artificial dissipation are added - Jameson's these types of artificial dissipation to the <...

BI - Akustika a kmity

  • 2007
  • D
Result

Estimation of Output from Linear Dynamical Systems Applying Runge-kutta Method

can be applied on equation of arbitrary order and any numerical method for solving of differential equations can be used. Chosen method determines precision of calculated result. For verification of described approach 4th order

BC - Teorie a systémy řízení

  • 2015
  • O
Result

Numerical solution methods for implicit Runge-Kutta methods of arbitrarily high order

In this study we consider an efficient implementation of Implicit Runge-Kutta methods for solving large systems of ordinary differential equations that originate from finite element discretization of the heat and similar eq...

Applied mathematics

  • 2020
  • D
  • Link
Result

Numerical Solution of a Viscous Incompressible Flow over a Helical Body

We consider a mathematical model to investigate stability of flow over a bodies of helical shapes with dependence on Reynolds number and body forces. The solution uses artificial compressibility method with third order upwind discretization ...

BK - Mechanika tekutin

  • 2003
  • D
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