PIROCK: A swiss-knife partitioned implicit–explicit orthogonal Runge–Kutta Chebyshev integrator for stiff diffusion–advection–reaction problems with or without noise

Author:

Abdulle Assyr,Vilmart Gilles

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference26 articles.

1. Solving Ordinary Differential Equations II. Stiff and Differential–Algebraic Problems;Hairer,1996

2. Numerical solution of time-dependent advection–diffusion–reaction equations;Hundsdorfer,2003

3. Explicit difference schemes with time-variable steps for solving stiff systems of equations;Lebedev;Sov. J. Numer. Anal. Math. Model.,1989

4. On the internal stage Runge–Kutta methods for large m-values;Van der Houwen;Z. Angew. Math. Mech.,1980

5. Second order Chebyshev methods based on orthogonal polynomials;Abdulle;Numer. Math.,2001

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