By Daniel Robertz
Investigating the correspondence among platforms of partial differential equations and their analytic options utilizing a proper strategy, this monograph offers algorithms to figure out the set of analytic options of one of these method and conversely to discover differential equations whose set of options coincides with a given parametrized set of analytic capabilities. After giving an in depth advent to Janet bases and Thomas decomposition, the matter of discovering an implicit description of yes units of analytic services by way of differential equations is addressed. potent tools of various generality are constructed to resolve the differential removal difficulties that come up during this context. specifically, it's proven how the symbolic answer of partial differential equations earnings from the learn of the implicitization challenge. for example, sure households of tangible options of the Navier-Stokes equations will be computed.
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Formal Algorithmic Elimination for PDEs (Lecture Notes in Mathematics) by Daniel Robertz