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Identifiability for a class of discretized linear partial differential algebraic equations. (English) Zbl 1217.65199

Summary: This paper presents the use of an iteration method to solve the identifiability problem for a class of discretized linear partial differential algebraic equations (PDAEs). This technique consists in replacing the partial derivatives in the PDAE by differences and analyzing the difference algebraic equations obtained. For that, the theory of discrete singular systems, which involves Drazin inverse matrix, is used. This technique can also be applied to other differential equations in mathematical physics.

MSC:

65N06 Finite difference methods for boundary value problems involving PDEs
35G15 Boundary value problems for linear higher-order PDEs
65N21 Numerical methods for inverse problems for boundary value problems involving PDEs
35R30 Inverse problems for PDEs
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References:

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