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@ARTICLE{AsanteAsamani:875175,
      author       = {Asante-Asamani, E. O. and Kleefeld, A. and Wade, B. A.},
      title        = {{A} second-order exponential time differencing scheme for
                      non-linear reaction-diffusion systems with dimensional
                      splitting},
      journal      = {Journal of computational physics},
      volume       = {415},
      issn         = {0021-9991},
      address      = {Amsterdam},
      publisher    = {Elsevier},
      reportid     = {FZJ-2020-01857},
      pages        = {109490},
      year         = {2020},
      abstract     = {A second-order L-stable exponential time-differencing (ETD)
                      method is developed by combining an ETD scheme with
                      approximating the matrix exponentials by rational functions
                      having real distinct poles (RDP), together with a
                      dimensional splitting integrating factor technique. A
                      variety of non-linear reaction-diffusion equations in two
                      and three dimensions with either Dirichlet, Neumann, or
                      periodic boundary conditions are solved with this scheme and
                      shown to outperform a variety of other second-order
                      implicit-explicit schemes. An additional performance boost
                      is gained through further use of basic parallelization
                      techniques.},
      cin          = {JSC},
      ddc          = {000},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000538393900009},
      doi          = {10.1016/j.jcp.2020.109490},
      url          = {https://juser.fz-juelich.de/record/875175},
}