Convergence of difference methods for initial and boundary value problems with discontinuous data

Chartres, Bruce; Stepleman, Robert

doi:10.1090/S0025-5718-1971-0303739-1

Convergence of difference methods for initial and boundary value problems with discontinuous data
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by Bruce Chartres and Robert Stepleman PDF

Math. Comp. 25 (1971), 729-732 Request permission

Abstract:

This paper extends the classical convergence theory for numerical solutions to initial and boundary value problems with continuous data (the right-hand side) to problems with Riemann integrable data. Order of convergence results are also obtained.

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