New Approaches for Reducing Artificial Oscillations in Numerical Solutions. Anti-Diffusion, Anti-Dispersion and Longoliers

Two most known errors is the artificial smoothing of the solution and oscillations in the solutions near the places with high derivatives of the solutions (near the sharp fronts of the solution). Some methods of improving numerical solutions of evolution equations are proposed on the base of theoret...

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Bibliographic Details
Date:2019
Main Author: Макаренко, Александр Сергеевич
Format: Article
Language:rus
Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2019
Online Access:http://mcm-math.kpnu.edu.ua/article/view/174183
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Journal Title:Mathematical and computer modelling. Series: Physical and mathematical sciences

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Mathematical and computer modelling. Series: Physical and mathematical sciences