Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives

Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives

The paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters. Thus, the integral characteristics of stability domai...

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Bibliographic Details
Main Author: Gerasim V. Krivovichev
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Algorithms
Subjects:
Runge–Kutta methods
stability polynomial
method of lines
lattice Boltzmann method
Online Access:https://www.mdpi.com/1999-4893/17/12/535
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