Formal Algorithmic Elimination for PDEs is popular PDF and ePub book, written by Daniel Robertz in 2014-10-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Formal Algorithmic Elimination for PDEs can be Read Online from any device for your convenience.
Formal Algorithmic Elimination for PDEs Book PDF Summary
Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions. After giving a detailed introduction to Janet bases and Thomas decomposition, the problem of finding an implicit description of certain sets of analytic functions in terms of differential equations is addressed. Effective methods of varying generality are developed to solve the differential elimination problems that arise in this context. In particular, it is demonstrated how the symbolic solution of partial differential equations profits from the study of the implicitization problem. For instance, certain families of exact solutions of the Navier-Stokes equations can be computed.
Detail Book of Formal Algorithmic Elimination for PDEs PDF
- Author : Daniel Robertz
- Release : 13 October 2014
- Publisher : Springer
- ISBN : 9783319114453
- Genre : Mathematics
- Total Page : 291 pages
- Language : English
- PDF File Size : 21,7 Mb
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