A Real Space Renormalization Group Approach to Field Evolution Equations

Abstract

A new 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 which are first order in time.

8 pages, 10 ps figures. Accepted for publication in Phys. Rev. E

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