Application of Operator Theory to Discrete Simulation of Continuous Systems
نویسنده
چکیده
This paper investigates the properties of initialboundary-value problems that typically arise in technical areas. For generality, the theory of non-self-adjoint partial differential operators serves as mathematical basis. The solution of initial-boundary-value problems can be represented by means of semigroups generated by sectorial operators with compact resolvent operator. It is shown that the solution can be expressed in terms of eigenfunctions and associated eigenfunctions. This representation defines a functional transformation for a system description in the frequency domain. Computationally efficient numerical algorithms can be derived by proper methods well-known from the theory of digital signal processing.
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تاریخ انتشار 2004