Download E-books Formal Algorithmic Elimination for PDEs (Lecture Notes in Mathematics) PDF

By Daniel Robertz

Investigating the correspondence among platforms of partial differential equations and their analytic recommendations utilizing a proper process, this monograph provides algorithms to figure out the set of analytic options of this kind of process and conversely to discover differential equations whose set of options coincides with a given parametrized set of analytic features. After giving an in depth advent to Janet bases and Thomas decomposition, the matter of discovering an implicit description of convinced units of analytic services by way of differential equations is addressed. powerful tools of various generality are built to unravel the differential removing difficulties that come up during this context. particularly, it really is validated how the symbolic answer of partial differential equations gains from the learn of the implicitization challenge. for example, definite households of tangible strategies of the Navier-Stokes equations will be computed.

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