Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator

THE present note proposes monotonic schemes, uniformly convergent at a rate 0( h 2), for a non-selfadjoint second order elliptic equation in an arbitrary region, and also monotonic locally one-dimensional schemes, uniformly convergent at a rate 0( h 2 + τ) for a parabolic equation with non-selfadjoi...

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Bibliographic Details
Published in:U.S.S.R. computational mathematics and mathematical physics 1965, Vol.5 (3), p.212-217
Main Author: Samarskii, A.A.
Format: Article
Language:English
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Summary:THE present note proposes monotonic schemes, uniformly convergent at a rate 0( h 2), for a non-selfadjoint second order elliptic equation in an arbitrary region, and also monotonic locally one-dimensional schemes, uniformly convergent at a rate 0( h 2 + τ) for a parabolic equation with non-selfadjoint elliptic operator.
ISSN:0041-5553
DOI:10.1016/0041-5553(65)90158-8