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Finite difference schemes for some types of boundary value problems with interfaces
Author(s) -
Jovanović Boško S.,
Vulkov Lubin G.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410332
Subject(s) - smoothness , convergence (economics) , finite difference , boundary value problem , finite difference method , partial differential equation , mathematics , stability (learning theory) , rate of convergence , boundary (topology) , mathematical analysis , significant difference , interface (matter) , computer science , key (lock) , economics , statistics , computer security , machine learning , economic growth , bubble , maximum bubble pressure method , parallel computing
Stability and convergence of finite difference schemes approximating an elliptic partial differential equation with interface are examined. A convergence rate estimate compatible with the smoothness of the input data is obtained. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)