@article{11187,
  author = {Joakim Sundnes and Robert Artebrant and Ola Skavhaug and Aslak Tveito},
  title = {A Second Order Algorithm for Solving Dynamic Cell Membrane Equations},
  abstract = {This paper describes an extension of the so-called Rush-Larsen scheme, which is a widely used numerical method for solving dynamic models of cardiac cell electrophysiology. The proposed method applies a local linearization of non-linear terms in combination with the analytical solution of linear ordinary differential equations, to obtain a second order accurate numerical scheme. We compare the error and computational load of the second order scheme to the original Rush-Larsen method. For a given error tolerance, the second order method is from nine to 500 times faster than the original scheme, depending on the choice of model and tolerance.},
  year = {2009},
  journal = {IEEE Transactions on Biomedical Engineering},
  volume = {56},
  number = {10},
  pages = {2546-2548},
}