Real-space renormalization-group approach to field evolution equations.

Phys Rev E Stat Nonlin Soft Matter Phys

The Institute of Cancer Research, Department of Physics, Downs Road, Sutton, Surrey SM2 5PT, United Kingdom.

Published: March 2002

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.

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http://dx.doi.org/10.1103/PhysRevE.65.036703DOI Listing

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