@book{39231,
  keywords = {coarse-graining, models, bifurcation analysis, multiscale simulation, reaction-diffusion example},
  author = {Van Leemput and Samaey and Lust and Roose and Kevrekidis and DiBucchianico and Mattheij and Peletier},
  title = {Coarse-grained simulation and bifurcation analysis using microscopic time-steppers},
  abstract = { In many science and engineering problems, one observes smooth behaviour on macroscopic space and time scales. However, sometimes only a microscopic evolution law is known. In such cases, one can approximate the macroscopic time evolution by performing appropriately initialized simulations of the available microscopic model in small portions of the space-time domain. This coarse-grained time-stepper can be used to perform time-stepper based numerical bifurcation analysis. We discuss our recent results concerning the accuracy of the proposed methods. },
  year = {2006},
  volume = {8},
  publisher = {Springer-Verlag Berlin},
  address = {Berlin},
  isbn = {3-540-28072-3},
  language = {English},
}