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Mathematics of Computation

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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
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.


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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