A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs

@article{GonzlezPinto2016AFO,
  title={A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs},
  author={Severiano Gonz{\'a}lez-Pinto and D. Hern{\'a}ndez-Abreu and Severiano P{\'e}rez-Rodr{\'i}guez and R{\"u}diger Weiner},
  journal={Applied Mathematics and Computation},
  year={2016},
  volume={274},
  pages={565-584}
}
In this paper new three-stage W-methods for the time integration of semi-discretized advection diffusion reaction Partial Differential Equations (PDEs) are provided. In particular, two three-parametric families of W-methods of order three are obtained under a realistic assumption regarding the commutator of the exact Jacobian and the approximation of the Jacobian which defines the corresponding W-method. Specific methods are selected by minimizing error coefficients, enlarging stability regions… CONTINUE READING

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