A Real Space Renormalization Group Approach to Field Evolution Equations

Details A Real Space Renormalization Group Approach to Field Evolution Equations A Real Space Renormalization Group Approach to Field Evolution Equations

2001-06-08

arxiv.org/abs/cond-mat/0106155v2

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.65.036703

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.

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