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Some notes on monotonicity preserving schemes on adaptive grids
Author(s) -
Shokiina
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410407
Subject(s) - monotonic function , constant (computer programming) , constant coefficients , variable (mathematics) , mathematics , scheme (mathematics) , differential (mechanical device) , differential equation , variable coefficient , finite difference , heat equation , partial differential equation , mathematical analysis , computer science , physics , thermodynamics , programming language
By the example of the 1D transport equation with constant coefficient and the 2D linear transport equation with variable coefficients, the monotonization approach for two‐step explicit finite‐difference schemes is presented, based on studying scheme differential approximations [1,2]. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)