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On boundary conditions for the numerical solution of hyperbolic differential equations
Author(s) -
Sloan D. M.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150802
Subject(s) - mathematics , boundary (topology) , mathematical analysis , boundary value problem , stability (learning theory) , differential equation , hyperbolic partial differential equation , numerical stability , numerical analysis , wave equation , computer science , machine learning
Various boundary methods are considered for the numerical solution of the linear wave equation. The solution in the interior region is obtained using the Lax‐Wendroff method. The theory of Gustafsson, Kreiss and Sundström is used to establish stability and the theory of Sköllermo is used to compare the accuracies of the various methods. The accuracy predictions are compared with computed results.