EXPLICIT NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS FOR ODES

• Published in: The ANZIAM journal Vol. 64; no. 1; pp. 69 - 88
• Main Authors: RAMAZANI, P., ABDI, A., HOJJATI, G., MORADI, A.
• Format: Journal Article
• Language: English
• Published: Cambridge, UK Cambridge University Press 01.01.2022
• Subjects: Accuracy; Methods; Ordinary differential equations; Runge-Kutta method; Stability; 65L05; inherent Runge–Kutta stability; Nordsieck methods; second derivative methods; inherent quadratic stability; general linear methods

The paper deals with the construction of explicit Nordsieck second derivative general linear methods with s stages of order p with $p=s$ and high stage order $q=p$ with inherent Runge–Kutta or quadratic stability properties. Satisfying the order and stage order conditions together with inherent stab...