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Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval

by Jan-Philipp Weiß
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Current price ₹4,457.00
Original price ₹5,060.00
Original price ₹5,060.00
Original price ₹5,060.00
(-12%)
₹4,457.00
Current price ₹4,457.00

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Book cover type: Paperback
  • ISBN13: 9783866440692
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Karlsruher Institut Fur Technologie
  • Publisher Imprint: Karlsruher Institut Fur Technologie
  • Publication Date:
  • Pages: 206
  • Original Price: GBP 40.0
  • Language: English
  • Edition: N/A
  • Item Weight: 250 grams
  • BISAC Subject(s): General

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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