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Sinc Approximation Method for Coefficient Identification in Parabolic Systems

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Robust Control of Linear Systems and Nonlinear Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 4))

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Abstract

A parabolic partial differential equation is discretized using sinc expansion in both the spatial and temporal domains. The resulting Sinc-Galerkin scheme is illustrated in the solution of a (singular) forward problem and a parameter identification problem.

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References

  1. H.T. Banks, P.D. Lamm, “Estimation of Variable Coefficients in Parabolic Systems,” IEEE Trans. on Aut. Control 30 (1985), 386–398.

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  2. K.L. Bowers, J. Lund, K.M. McArthur, “Symmetrization of the SincGalerkin Method with Block Techniques for Elliptic Equations,” IMA J. of Num. Anal. 9 (1989), 29–46.

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  3. D.L. Lewis, J. Lund, K.L. Bowers, “The Space-Time Sinc-Galerkin Method for Parabolic Problems,” Inter. J. Num. Meth. Eng. 24 (1987), 1629–1644.

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  4. J. Lund, C.R. Vogel, “A Fully Galerkin Method for the Numerical Solution of Inverse Problems in Parabolic Partial Differential Equations,” to appear in Inverse Problems (1989).

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  5. K.M. McArthur, “A Collocative Variation of the Sinc-Galerkin Method for Second Order Boundary Value Problems,” Progress in Systems and Control Theory 1 (1989).

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  6. F. Stenger, “A Sinc-Galerkin Method of Solution of Boundary Value Problems,” Math. Comp. 33 (1979), 85–109.

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© 1990 Birkhäuser Boston

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Lund, J. (1990). Sinc Approximation Method for Coefficient Identification in Parabolic Systems. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_50

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  • DOI: https://doi.org/10.1007/978-1-4612-4484-4_50

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8839-8

  • Online ISBN: 978-1-4612-4484-4

  • eBook Packages: Springer Book Archive

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