A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems

@article{Beck2014ACO,
  title={A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems},
  author={Steffen Beck and Severiano Gonz{\'a}lez-Pinto and Severiano P{\'e}rez-Rodr{\'i}guez and R{\"u}diger Weiner},
  journal={J. Computational Applied Mathematics},
  year={2014},
  volume={262},
  pages={292-303}
}
For the efficient solution of large stiff systems resulting from semidiscretization of multi-dimensional partial differential equations two methods using approximate matrix factorizations (AMF) are discussed. In extensive numerical tests of Reaction Diffusion type implemented in Matlab they are compared with integration methods using Krylov techniques for solving the linear systems or to approximate exponential matrices times a vector. The results show that for low and medium accuracy… CONTINUE READING
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