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(Ebook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval by Weiß Jan-Philipp ISBN 9783866440692, 3866440693

  • SKU: EBN-999212
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Instant download (eBook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval after payment.
Authors:Weiß Jan-Philipp
Pages:208 pages.
Year:2006
Editon:PhD Thesis
Publisher:KIT Scientific Publishing
Language:english
File Size:9.59 MB
Format:pdf
ISBNS:9783866440692, 3866440693
Categories: Ebooks

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(Ebook) Numerical Analysis of Lattice Boltzmann Methods for the Heat Equation on a Bounded Interval by Weiß Jan-Philipp ISBN 9783866440692, 3866440693

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.
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