An Efficient Way to Avoid the Order Reduction of Linearly Implicit Runge-Kutta Methods for Nonlinear IBVP’s
Author:
Publisher
Birkhäuser Basel
Link
http://link.springer.com/content/pdf/10.1007/978-3-0348-8065-7_20
Reference18 articles.
1. S. Abarbanel, D. Gottlieb & M.H. Carpenter, On the removal of boundary errors caused by Runge-Kutta integration of nonlinear partial differential equations, SIAM J. Sci. Comput. 17 (1996), 777–782.
2. I. Alonso-Mallo, Explicit single step methods with optimal order of convergence for partial differential equations, Appl. Numer. Math. 31 (1999), 117–131.
3. I. Alonso-Mallo, Rational methods with optimal order of convergence for partial differential equations, Appl. Numer. Math. 35 (2000), 265–292.
4. I. Alonso-Mallo & B. Cano, Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems, Appl. Numer. Math. 41 (2002), 247–268.
5. I. Alonso-Mallo & C. Palencia, Optimal orders of convergence for Runge-Kutta methods and linear, initial boundary value problems, Appl. Numer. Math. 44 (2003), 1–19.
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