title: Real-space renormalization-group approach to field evolution equations.
abstract: An operator formalism for the reduction of degrees of freedom in the evolution of discrete partial differential equations (PDE) via real-space renormalization group is introduced, in which cell overlapping is the key concept. Applications to (1+1)-dimensional PDEs are presented for linear and quadratic equations that are first order in time.
authors.affiliation: The Institute of Cancer Research, Department of Physics, Downs Road, Sutton, Surrey SM2 5PT, United Kingdom. andreasd@icr.ac.uk
authors.forename: Andreas
authors.initials: A
authors.lastname: Degenhard
authors.forename: Javier
authors.initials: J
authors.lastname: Rodríguez-Laguna