Publication Cover
Applicable Analysis
An International Journal
Volume 69, 1998 - Issue 3-4
21
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A transient inverse scattering problem for acoustic waveguides

&
Pages 285-302 | Published online: 02 May 2007

  • Abramowitz , M. and Stegun , I.A. “ Handbook of Mathematical Functions ” . In Nat. Bur. St., Appl. Math. , 55
  • Ahluwalia , D.S. and Keller , J.B. 1977 . “ Exact and asymptotic representations of the sound in a stratified ocean ” . In in Wave Propagation and Underwater Acoustics , Edited by: Keller , J.B. and Papadakis , J.S. Berlin : Springer-Verlag .
  • Ang D.D. Gorenflo R. Vy L.K. Backus Gilbert regularization of a moment problem Dept. Math., Free Univ. Berlin 1993 Preprint A-7/93, Serie A Mathematik,
  • Collins , M.D. and Kuperman , W.A. 1994 . Inverse Problems in ocean acoustics . Inverse Problems , 10 : 1023 – 1040 .
  • Collins , M.D. 1997 . “ Topics in ocean acoustic inverse problems ” . In in Inverse Problems in Wave Progagation , Edited by: Chavent , G. , Papanicolaou , G. , Sacks , P. and Symes , W. 85 – 104 . Springer-Verlag .
  • Dautray , R. and Lions , J.L. 1988 . Mathematical Analysis and Numerical Methods for Science and Technology , Berlin : Springer-Verlag .
  • Desaubies , Y. and Tarantola , A. 1990 . Oceanographic and Geophysical Tomography , Edited by: Zinn-Justin , J. Amsterdam : Elsevier .
  • Gradshteyn , I.S. and Ryzhik , I.M. 1965 . “ Tables of Integrals ” . In Series and Products , New York : Academic Press .
  • Lavrentiev , M.M. , Romanov , V.G. and Shishat'skii , S.P. 1986 . “ III-Posed Problems of Mathematical Physics and Analysis ” . In Translations of Mathematical Monographs , Vol. 64 , Providence, Rhode Island : AMS .
  • Lavrentiev , M.M. , Romanov , V.G. and Vasil'ev , V.G. 1970 . “ Multidimensional Inverse Problems for Differential Equations, (English translation) ” . In Lecture Notes in Mathematics , Vol. 167 , Berlin : Springer-Verlag .
  • Lavrentiev , M.M. , Reznitskaja , K.G. and Yakhno , V.G. 1986 . “ One-dimensional Inverse Problems of Mathematical Physics, (English translation) ” . In American Mathematical Society , Rhode Island : Providence .
  • Munk , W. , Worcester , P.F. and Wunsch , C. 1995 . Ocean Acoustic Tomography , New York : Cambridge University Press .
  • Prudnikov , A.P. , Brychkov , Yu.A. and Marichev , O.I. 1992 . Integrals and Series , New York : Gordon and Breach Science Publishers .
  • Romanov , V.G. 1974 . “ Integral Geometry and Inverse Problems for Hyperbolic Equations ” . In Springer Tracts in Natural Philoshophy , New York : Springer-Verlag .
  • Romanov , V.G. 1987 . Inverse Problems of Mathematical Physics,(English translation) , Utrecht : Science Press .
  • Stakgold , I. 1979 . Green's functions and boundary value problems , New York : John Wiley .
  • Tarantola , A. 1987 . Inverse Problems Theory , New York : Elsevier .
  • Tolstoy , A. 1993 . Mathched Field Processing for Underwater Acoustics , London : World Scientific .
  • Vladimirov , V.S. 1979 . Generalized Functions in Mathematical Physics, (English translation) , Moscow : Mir Publ. .
  • Vladimirov , V.S. 1984 . Equations of Mathematical Physics, (English translation) , Moscow : Mir Publ. .
  • Wilcox , C. 1984 . “ Sound Propagation in Statified Fluids ” . In Applied Mathematical Sciences , Vol. 50 , New York : Springer-Verlag .
  • A.H. 1987 . Genreralized Integral Transformations , New York : Dover Publ. .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.