17. SUNDIALS Publications

17.1. General

High-level publications describing SUNDIALS in general include [66, 84, 125]:

@article{roberts2026sundials,
  title     = {New {Time} {Integrators} and {Capabilities} in {SUNDIALS} {Versions} 6.2.0-7.4.0},
  author    = {Roberts, Steven B and Aggul, Mustafa and Reynolds, Daniel R and Balos, Cody J and Gardner, David J and Woodward, Carol S},
  journal   = {ACM Transactions on Mathematical Software (TOMS)},
  publisher = {ACM},
  volume    = {52},
  number    = {1},
  pages     = {8:1--8:14},
  year      = {2026},
  doi       = {10.1145/3797888}
}

@article{gardner2022sundials,
  title     = {Enabling new flexibility in the {SUNDIALS} suite of nonlinear and differential/algebraic equation solvers},
  author    = {Gardner, David J and Reynolds, Daniel R and Woodward, Carol S and Balos, Cody J},
  journal   = {ACM Transactions on Mathematical Software (TOMS)},
  publisher = {ACM},
  volume    = {48},
  number    = {3},
  pages     = {1--24},
  year      = {2022},
  doi       = {10.1145/3539801}
}

@article{hindmarsh2005sundials,
  title     = {{SUNDIALS}: Suite of nonlinear and differential/algebraic equation solvers},
  author    = {Hindmarsh, Alan C and Brown, Peter N and Grant, Keith E and Lee, Steven L and Serban, Radu and Shumaker, Dan E and Woodward, Carol S},
  journal   = {ACM Transactions on Mathematical Software (TOMS)},
  publisher = {ACM},
  volume    = {31},
  number    = {3},
  pages     = {363--396},
  year      = {2005},
  doi       = {10.1145/1089014.1089020}
}

GPU features in SUNDIALS are described in [17]:

@article{balos2021enabling,
  title     = {{Enabling GPU accelerated computing in the SUNDIALS time integration library}},
  author    = {Balos, Cody J and Gardner, David J and Woodward, Carol S and Reynolds, Daniel R},
  journal   = {Parallel Computing},
  publisher = {Elsevier},
  volume    = {108},
  pages     = {102836},
  year      = {2021},
  doi       = {10.1016/j.parco.2021.102836}
}

17.2. ARKODE

While ARKODE was included in [66], it was officially introduced in [121]:

@article{reynolds2023arkode,
  title     = {{ARKODE}: {A} flexible {IVP} solver infrastructure for one-step methods},
  author    = {Reynolds, Daniel R and Gardner, David J and Woodward, Carol S and Chinomona, Rujeko},
  journal   = {ACM Transactions on Mathematical Software (TOMS)},
  publisher = {ACM},
  volume    = {49},
  number    = {2},
  year      = {2023},
  pages     = {1--26},
  doi       = {10.1145/3594632}
}

Time adaptivity for ARKODE’s multirate solvers is described in [123]:

@article{reynolds2026efficient,
  title     = {Efficient and {Flexible} {Multirate} {Temporal} {Adaptivity}},
  author    = {Reynolds, Daniel R. and Amihere, Sylvia and Mitchell, Dashon and Luan, Vu Thai},
  journal   = {Journal of Computational and Applied Mathematics},
  publisher = {Elsevier},
  year      = {2026},
  pages     = {117773},
  doi       = {10.1016/j.cam.2026.117773}
}