Array-representation integration factor method for high-dimensional systems

@article{Wang2014ArrayrepresentationIF,
  title={Array-representation integration factor method for high-dimensional systems},
  author={Dongyong Wang and Lei Zhang and Qing Nie},
  journal={Journal of computational physics},
  year={2014},
  volume={258}
}
High order spatial derivatives and stiff reactions often introduce severe temporal stability constraints on the time step in numerical methods. Implicit integration method (IIF) method, which treats diffusion exactly and reaction implicitly, provides excellent stability properties with good efficiency by decoupling the treatment of reactions and diffusions. One major challenge for IIF is storage and calculation of the potential dense exponential matrices of the sparse discretization matrices… CONTINUE READING