Symbolic and Algebraic Methods for LPDOs (DIFFOP)

The solution of Partial Differential Equations (PDEs) is one of the most important problems of mathematics, and has an enormous area of applications. As is the case for many other types of mathematical problems, solution methods for PDEs can be classified into symbolic (or analytical) and numerical methods. Of course, an analytical solution is to be preferred. Indeed, using an analytical solution, one can compute a numerical solution to any precision and on any segment of the domain, analyze the solution's behavior at infinity and at extremal points, explore dependence on parameters, etc. Whereas some simple Ordinary Differential Equations (ODEs) can be solved analytically ...