25 citations · 105 across the 16 of their papers we have counts for
3 papers · 1 filter
Reduction and reconstruction of stochastic differential equations via symmetries
Francesco C. De Vecchi, Paola Morando, Stefania Ugolini
An algorithmic method to exploit a general class of infinitesimal symmetries for reducing stochastic differential equations is presented and a natural definition of reconstruction,…
The geometry of differential constraints for a class of evolution PDEs
Francesco C. De Vecchi, Paola Morando
The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized…
Solvable structures for evolution PDEs admitting differential constraints
Francesco C. De Vecchi, Paola Morando
Solvable structures are exploited in order to find families of explicit solutions to evolution PDEs admitting suitable differential constraints. The effectiveness of the method is…