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Abstract

In the previous two chapters we showed how the convection-diffusion equation may be discretized using FD and FV methods. In either case, the result of the discretization process is a system of algebraic equations, which are linear or non-linear according to the nature of the partial differential equation(s) from which they are derived. In the non-linear case, the discretized equations must be solved by an iterative technique that involves guessing a solution, linearizing the equations about that solution, and improving the solution; the process is repeated until a converged result is obtained. So, whether the equations are linear or not, efficient methods for solving linear systems of algebraic equations are needed.

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© 2002 Springer-Verlag Berlin Heidelberg

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Ferziger, J.H., Perić, M. (2002). Solution of Linear Equation System. In: Computational Methods for Fluid Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56026-2_5

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  • DOI: https://doi.org/10.1007/978-3-642-56026-2_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42074-3

  • Online ISBN: 978-3-642-56026-2

  • eBook Packages: Springer Book Archive

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