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

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

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...