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Weak Tau approximations for distributed parameter systems in inverse problems. (English) Zbl 0744.35061

See the preview in Zbl 0729.35145.

MSC:

35R30 Inverse problems for PDEs
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations

Citations:

Zbl 0729.35145
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References:

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[3] Babuška Ivo, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations pp 5– (1972)
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[5] Banks, H. T., Botsford, L. W., Kappel, F. and Wang, C. Modeling and estimation in size structured population models, in Mathematical Ecology. Proceedings of the Autumn Course Research Seminars. pp.521–541. World Scientific. Edited by T. G. Hallam, L. J. Gross, S. A. Levin
[6] Banks H. T., Mat. Aplicada e Comput. 5 pp 139– (1986)
[7] Banks H. T., Control–Theory and Advanced Technology 4 pp 73– (1988)
[8] Banks, H. T., Ito, K. and Murphy, K. A. 1984. Computational methods for estimation of parameters in hyperbolic systems. Proc. Conf. Inverse Scattering and Applications. 1984. pp.181–193. Univ. Tulsa SIAM.
[9] DOI: 10.1007/978-1-4612-3700-6 · doi:10.1007/978-1-4612-3700-6
[10] Banks H. T., CAMS Tech. Rep., Univ. So. Calif.; SIAM J. Num. Anal. pp 90– (1990)
[11] Banks, H. T. and Wade, J. G. 1989. Tau approximation techniques for identification of coefficients in parabolic PDE. Proc. IEEE Conf. Dec. and Control. Dec281989, Tampa. pp.13, 596–15, 598.
[12] DOI: 10.1137/0723052 · Zbl 0616.65114 · doi:10.1137/0723052
[13] Canuto C., Spectral Methods in Fluid Dynamics (1987) · Zbl 0615.65123
[14] DOI: 10.1090/S0025-5718-1982-0637287-3 · doi:10.1090/S0025-5718-1982-0637287-3
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[16] Gottlieb D., Numerical Analysis of Spectral Methods: Theory and Application (1976)
[17] DOI: 10.1007/BF01400311 · Zbl 0452.41007 · doi:10.1007/BF01400311
[18] Pazy A., Semigroups of Linear Operators and Applications to Partial Differential Equations (1983) · Zbl 0516.47023 · doi:10.1007/978-1-4612-5561-1
[19] Showalter R. E., Hilbert Space Methods for Partial Differential Equations (1977) · Zbl 0364.35001
[20] Strang G., An Analysis of the Finite Element Method (1973) · Zbl 0356.65096
[21] Tanabe H., Equations of Evolution (1979) · Zbl 0417.35003
[22] Wade J. G., Tau Methods for Parabolic Equations in Inverse Problems (1989)
[23] Wloka Joseph, Partial Differential Equations
[24] Yosida K., Funcional Analysis (1980) · Zbl 0830.46001 · doi:10.1007/978-3-642-61859-8
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