Convergence of method of lines approximations to partial differential equations

Author:

Verwer J. G.,Sanz-Serna J. M.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Reference13 articles.

1. Axelsson, O.: Error estimates over infinite intervals of some discretizations of evolution equations. Technical Report, Catholic University of Nijmegen, 1983 (to appear in BIT).

2. Burrage, K., Butcher, J. C.: Stability criteria for implicit Runge-Kutta methods. SIAM J. Numer. Anal.16, 46–57 (1979).

3. Dahlquist, G.: Stability and error bounds in the numerical integration of ordinary differential equations. Trans. Royal Inst. Techn., No 130, Stockholm, 1959.

4. Dekker, K., Verwer, J. G.: Stability of Runge-Kutta Methods for Stiff Nonlinear Differential Equations. Amsterdam-New York-Oxford: North-Holland 1984.

5. Frank, R., Schneid, J., Ueberhuber, C. W.: The concept of B-convergence. SIAM J. Numer. Anal.18, 753–780 (1981).

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