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Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
- Format:
- Book
- Author/Creator:
- Weiss, Jan-Philipp.
- Language:
- English
- Physical Description:
- 1 online resource (VII, 190 p. p.)
- Place of Publication:
- KIT Scientific Publishing 2006
- Language Note:
- English
- Summary:
- Lattice 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.
- ISBN:
- 1000005304
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