Factorization Method for Boundary Value Problems by Invariant
Embedding presents a new theory for linear elliptic boundary value
problems. The authors provide a transformation of the problem in
two initial value problems that are uncoupled, enabling you to
solve these successively. This method appears similar to the Gauss
block factorization of the matrix, obtained in finite dimension
after discretization of the problem. This proposed method is
comparable to the computation of optimal feedbacks for linear
quadratic control problems.
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