LEADER 01733nam  2200385z- 450 
001 9910346945203321
005 20231214133147.0
010   $a1000005304
035   $a(CKB)4920000000101070
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/54912
035   $a(EXLCZ)994920000000101070
100   $a20202102d2006      |y             0
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNumerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
210   $cKIT Scientific Publishing$d2006
215   $a1 electronic resource (VII, 190 p. p.)
311   $a3-86644-069-3 
330   $aLattice Boltzmann methods are a promising approach for the numerical solution of fluid-dynamic problems. We consider the one-dimensional Goldstein-Taylor model with the aim to answer some of the questions concerning the numerical analysis of lattice Boltzmann schemes. Discretizations for the solution of the heat equation are presented for a selection of boundary conditions. Stability and convergence of the solutions are proved by employing energy estimates and explicit Fourier representations.
610   $aCFD
610   $aKonvergenz
610   $aLattice-Boltzmann
610   $aNumerische Strömungssimulation
610   $aGitter-Boltzmann-Methode
610   $aWärmeleitungsgleichung
610   $aHeat Equation
610   $aConvergence
700   $aWeiß$b Jan-Philipp$4auth$01331389
906   $aBOOK
912   $a9910346945203321
996   $aNumerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval$93040355
997   $aUNINA