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

1975/01/01 by Bertil Gustafsson · 7 citations
Mathematics · #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Numerical methods for differential equations

paper · doi:10.1090/s0025-5718-1975-0386296-7

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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