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207 732 (0,21s)

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Evolution Galerkin methods for multidimensional hyperbolic systems

This contribution deals with the genuinely multidimensional numerical schemes for hyperbolic equations.

BA - Obecná matematika

  • 2000
  • D
Result

Finite Volume Evolution Galerkin Methods for Nonlinear Hyperbolic Systems

We present new truly multidimensional schemes of higher order within the framework of finite volume evolution Galerkin (FVEG) methods for systems of nonlinear hyperbolic conservation laws. These methods couple a finite volume formul...

BA - Obecná matematika

  • 2002
  • Jx
Result

On a numerical flux for the pedestrian flow equations

The pedestrian flow equations are formulated as the hyperbolic problem with a source term, completed by the eikonal equation yielding the desired direction of the eikonal equation, ordinary differential equatio...

Pure mathematics

  • 2015
  • Jost
  • Link
Result

Long-time bahavior of solutions to hyperbolic equations with hysteresis

For a quasilinear hyperbolic system with Dirichlet boundary conditions and with hysteretic constitutive law describing waves in elastoplastic solids, we give an overview of results on existence, uniqueness, and asymptotic stability ...

BA - Obecná matematika

  • 2005
  • C
Result

On a numerical flux for the pedestrian flow equations

The pedestrian flow equations are formulated as the hyperbolic problem with a source term, completed by the eikonal equation yielding the desired direction of theeikonal equation, ordinary differential equation...

BA - Obecná matematika

  • 2015
  • Jx
Result

Unique solvability of the Darboux problem for linear hyperbolic functional differential equations

We obtain new conditions sufficient for the unique solvability of the Darboux problem for linear partial functional differential equations of hyperbolic type. The main results are applied to the hyperbolic differential ...

Pure mathematics

  • 2017
  • Jimp
  • Link
Result

Solvability of a class of hyperbolic-cosine-type difference equations

We describe a method for constructing one of the basic classes of solvable hyperbolic-cosine-type difference equations, generalizing a known difference equation by Laplace in a natural way....

Pure mathematics

  • 2020
  • Jimp
  • Link
Result

Hyperbolicity of delay equations via Fourier multipliers

We apply recently obtained results on the hyperbolicity of semigroups to delay equations. The main tool is the theory of operator valued Fourier multipliers....

BA - Obecná matematika

  • 2001
  • Jx
Result

Numerical simulation of river flow

We describe numerical methods applied in the system FLOREON. We give a brief overview of the numerical schemes for solving hyperbolic conservation laws, in the concrete, for the shallow water equations. We present advantage...

BA - Obecná matematika

  • 2007
  • D
Result

Linear hyperbolic functional-differential equations with essentially bounded right-hand side

Theorems on the unique solvability and non-negativity of solutions of the Darboux problem for hyperbolic functional-differential equations are established, where the linear operators on the right-hand side of the equation m...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
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