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On a new numerical method for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

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References

  1. R. L. Sternberg, "Successive Approximation and Expansion Methods in the Numerical Design of Microwave Dielectric Lenses," Journal of Mathematics and Physics, Vol. 34, 1955, pp. 209–235.

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  2. R. L. Sternberg and H. B. Goldberg, "Off-Axis Short Focal Length Dielectric Lens Antennas," Proceedings National Aerospace Electronics Conference, Dayton, Ohio, 1961.

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  3. R. L. Sternberg, "Surface Series Expansion Coefficients for Numerical Design of Scannable Aspherical Microwave and Acoustic Lenticular Antennas," Proceedings of the IEE (England), Vol. 121, 1974, pp. 1351–1354.

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  4. R. L. Sternberg, "Optimizing and Extremizing Nonlinerar Boundary Value Problems in Lenticular Antennas in Oceanography, Medicine and Communications: Some Solutions and Some Questions," in Nonlinear Systems and Applications, V. Lakshmikantham, Editor, Academic Press, New York, 1977.

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  5. K. T. Corbett, F. H. Middleton, and R. L. Sternberg, "Nonspherical Acoustic Lens Study," Journal of the Acoustical Society of America, Vol. 59, May 1976, pp. 1104–1109.

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  6. R. L. Sternberg and W. A. Anderson, "Frequency Independent Beamforming," Naval Research Reviews, Vol. 33, No. 1, 1981, pp. 34–47.

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Authors
  1. Robert L. Sternberg
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  2. Marvin J. Goldstein
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  3. Drew Drinkard
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Editor information

W.N. Everitt B.D. Sleeman

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© 1982 Springer-Verlag

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Sternberg, R.L., Goldstein, M.J., Drinkard, D. (1982). On a new numerical method for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065036

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  • DOI: https://doi.org/10.1007/BFb0065036

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

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