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Numerical solution of linear and nonlinear parabolic control problems

  • Part 2: Optimal Control
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Book cover Optimization and Optimal Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 30))

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References

  1. Hackbusch, W.: A numerical method for solving parabolic equations with opposite orientations. Computing 20, pp. 229–240, 1978.

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  2. Hackbusch, W.: On the fast solving of parabolic boundary control problems. SIAM J. Contr. Optim. 17, pp. 231–244, 1979.

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  3. Hackbusch, W.: On the fast solving of elliptic control problems. To appear in JOTA.

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  4. Hackbusch, W.: Die schnelle Auflösung der Fredholmschen Integralgleichungen zweiter Art. Beiträge Numer. Math. 9, to appear.

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  5. Hackbusch, W.: An error analysis of the nonlinear multi-grid method of the second kind. To appear in Apl. Mat.

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  6. Lasiecka, I.: Boundary control of parabolic systems: finite-element approximation. Appl. Math. Optim. 6, pp. 31–62, 1980.

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  7. Lions, J.L.: Optimal control of systems governed by partial differential equations. Berlin-Heidelberg-New York: Springer, 1971.

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Alfred Auslender Werner Oettli Josef Stoer

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© 1981 Springer-Verlag

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Hackbusch, W. (1981). Numerical solution of linear and nonlinear parabolic control problems. In: Auslender, A., Oettli, W., Stoer, J. (eds) Optimization and Optimal Control. Lecture Notes in Control and Information Sciences, vol 30. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004514

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  • DOI: https://doi.org/10.1007/BFb0004514

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10627-2

  • Online ISBN: 978-3-540-38591-2

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