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


Authors: Bruce Chartres and Robert Stepleman
Journal: Math. Comp. 25 (1971), 729-732
MSC: Primary 65L10
DOI: https://doi.org/10.1090/S0025-5718-1971-0303739-1
MathSciNet review: 0303739
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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.


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

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1971-0303739-1
Keywords: Convergence, Euler's method, difference method, discontinuous data, boundary value
Article copyright: © Copyright 1971 American Mathematical Society