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The convergence rate for difference approximations to mixed initial boundary value problems


Author: Bertil Gustafsson
Journal: Math. Comp. 29 (1975), 396-406
MSC: Primary 65N10
DOI: https://doi.org/10.1090/S0025-5718-1975-0386296-7
MathSciNet review: 0386296
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Abstract: The convergence rate for difference approximations to mixed initial boundary value problems for hyperbolic systems is treated. Assuming that the approximation at the boundary has one-order lower accuracy than at inner points, conditions are given such that the overall accuracy of the solution is kept at the higher order.


References [Enhancements On Off] (What's this?)

  • [1] B. GUSTAFSSON, H.-O. KREISS & A. SUNDSTRÖM, "Stability theory of difference approximations for mixed initial boundary value problems. II," Math. Comp., v. 26, 1972, pp. 649-686. MR 0341888 (49:6634)
  • [2] B. GUSTAFSSON, H.-O. KREISS & A. SUNDSTRÖM, Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II, Dept. of Computer Sciences, Uppsala University, Report No. 30, 1970.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1975-0386296-7
Keywords: Difference approximations, initial boundary value problems, hyperbolic systems, convergence rate, stability, boundary conditions
Article copyright: © Copyright 1975 American Mathematical Society

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