A note on approximate Jacobians of implicit Runge–Kutta methods and convergence of modified Newton iterations
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software
Link
https://link.springer.com/content/pdf/10.1007/s10543-023-00994-8.pdf
Reference6 articles.
1. Söderlind, G., Jay, L.O., Calvo, M.: Stiffness 1952–2012: Sixty years in search of a definition. BIT Numer. 55, 531–558 (2015)
2. Hairer, E., Wanner, G.: Solving ordinary differential equations II. Stiff and differential-algebraic problems, Comput. Math., vol. 14. Springer, Berlin, Second Revised Edition (1996)
3. Alexander, R.: The modified Newton method in the solution of stiff ordinary differential equations. Math. Comput. 57, 673–701 (1994)
4. Calvo, M., González-Pinto, S., Montijano, J.I.: On the iterative solution of the algebraic equations in fully implicit Runge-Kutta methods. Numer. Algorithms 23, 97–113 (2000)
5. van Dorsselear, J.L.M., Spijker, M.N.: The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problem. IMA J. Numer. Anal. 14, 183–209 (1994)
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