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Mathematics of Computation

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Steady state computations for wave propagation problems


Authors: Björn Engquist and Bertil Gustafsson
Journal: Math. Comp. 49 (1987), 39-64
MSC: Primary 65M10; Secondary 76-08
DOI: https://doi.org/10.1090/S0025-5718-1987-0890253-X
MathSciNet review: 890253
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Abstract: The behavior of difference approximations of hyperbolic partial differential equations as time $ t \to \infty $ is studied. The rate of convergence to steady state is analyzed theoretically and expe imentally for the advection equation and the linearized Euler equations. The choice of difference formulas and boundary conditions strongly influences the rate of convergence in practical steady state calculations. In particular it is shown that upwind difference methods and characteristic boundary conditions have very attractive convergence properties.


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DOI: https://doi.org/10.1090/S0025-5718-1987-0890253-X
Article copyright: © Copyright 1987 American Mathematical Society