The aim of this work is to investigate the consistency and stability properties of the Time-Accurate and Highly-Stable Explicit (TASE) Runge-Kutta (RK) methods recently introduced in [1], and subsequently improved in [3], for the solution of systems of Ordinary Differential Equations (ODEs) equipped with severe stiffness. We also pay attention to the computational cost of such methods, showing through numerical tests when their application can be convenient.
On a Class of Linearly Implicit Runge-Kutta Methods / Pagano, G.. - 3094:(2024), pp. 2200101-2200104. ( ICNAAM 2022 Crete (Greece) Settembre 19-25, 2022.) [10.1063/5.0210666].
On a Class of Linearly Implicit Runge-Kutta Methods
Pagano G.
2024
Abstract
The aim of this work is to investigate the consistency and stability properties of the Time-Accurate and Highly-Stable Explicit (TASE) Runge-Kutta (RK) methods recently introduced in [1], and subsequently improved in [3], for the solution of systems of Ordinary Differential Equations (ODEs) equipped with severe stiffness. We also pay attention to the computational cost of such methods, showing through numerical tests when their application can be convenient.File in questo prodotto:
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