This paper deals with the stability analysis of the Rosenbrock method for the numerical solution of delay differential equation.
This paper deals with the stability analysis of the Rosenbrock method for the numerical solution of delay differential equation. The stability behavior of ...
The stability behavior of Rosenbrock method was analyzed for the solutions of linear test equation. The result that the Rosenbrock method is GP-stable if and ...
Abstract: The stability analysis of the Rosenbrock method for the numerical solutions of system of delay differential equations was studied.
It is proved that the two-step Runge–Kutta methods are asymptotically stable for linear NDDAEs under the assumption that the coefficient matrices are all ...
Yuhao Cong, Jianing Cai, Jiaoxun Kuang: The GPL-stability of Rosenbrock methods for delay differential equation. Appl. Math. Comput. 150(2): 533-542 (2004).
Oct 22, 2024 · This paper develops the Rosenbrock methods for the neutral delay differential-algebraic equations (NDDAEs) and proves that the Rosenbrock ...
This paper deals with the GPL-stability of the Implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations.
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Dec 10, 2016 · Jiaoxun, 2004, The GPL-stability of Rosenbrock methods for delay differential equation, Applied Mathematics and Computation, 150(2), 533-542.
TL;DR: The stability behavior of Rosenbrock method is analyzed for the solutions of linear test equation and it is given that the Rosenbrocks method is GPL- ...