83
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Using transient tracers: the regularization problem

Pages 477-492 | Received 13 May 1986, Accepted 10 Feb 1987, Published online: 18 Jan 2017

References

  • Arthnari, T. S. and Dodge, Y. 1981. Mathematical Programming in Statistics. Wiley, New York, 413 pp.
  • Bacastow, R. and Björkström, A. 1981. Comparison of ocean models for the carbon cycle. In Carbon cycle modelling, SCOPE 16, B. Bolin, ed., Wiley, Chichester, 29-79.
  • Beck, J. V., Blackwell, B. and St.Clair jr., C. R. 1985. Inverse heat conduction. Ill-posed problems. Wiley-Interscience, New York, 308 pp.
  • Buffham, B. A. 1985. Residence-time distributions in regions of steady-flow systems. Nature 3/4,606–608.
  • Bunch, J. R. and Rose, D. J. 1976. Sparse matrix computations. Academic Press, New York, 453 pp.
  • Cacuci, D. G. 1981a. Sensitivity theory for nonlinear systems. I. Nonlinear functional analysis approach. J. Math. Phys. 22, 2794–2802.
  • Cacuci, D. G. 1981b. Sensitivity theory for nonlinear systems. II. Extensions to additional classes of responses. J. Math. Phys. 22, 2803–2812.
  • Center for Computational Research in Economics and Management Science, 1975. SESAME Reference Manual. Massachusetts Institute of Technology, Cambridge, multiply paged.
  • Deuflhard, P. and Hairer, E. eds. 1983. Numerical treatment of inverse problems in differential and integral equations. Proceedings of an International Workshop, Heidelberg, August 30-September 3, 1982. Birk-hauser, Boston, 357 pp.
  • Dreisigacker, E. and Roether, W. 1978. Tritium and 90-Sr in North Atlantic Surface Water. Earth Planet. Sci. Lett. 38, 301–312.
  • Huestis, S. P. 1979. Extremal temperature bounds for surface gradient measurements. Geophys. J. R. Astron. Soc. 58, 249–260.
  • Lanczos, C. 1961. Linear Differential Operators. Van Nostrand, Princeton, 564 pp.
  • Lawson, C. L. and Hanson, R. J. 1974. Solving least squares problems. Prentice-Hall, Englewood Cliffs, N.J., 340 pp.
  • Luenberger, D. G. 1973. Introduction to linear and non-linear programming. Addison-Wesley, Reading, Ma, 356 pp.
  • Lupton, J. E. and Craig, H. 1981. A major He-3 source at 15 degrees South on the East Pacific Rise. Science 214, 13–18.
  • Menke, W. 1984. Geophysical data analysis: discrete inverse theory. Academic Press, New York, 260 pp.
  • Mercier, H. 1986. Determining the general circulation of the ocean: a non-linear inverse problem. J. Geophys. Res. 91, 5103–5109.
  • Morse, P. M. and Feshbach, H. 1953. Methods of theoretical physics, 2 vols. McGraw-Hill, New York, 1978 pp.
  • Munk, W. H. 1966. Abyssal recipes. Deep-Sea Res. 13, 707–730.
  • Nauman, E. B. and Buffham, B. A. 1983. Mixing in continuous flow systems. Wiley-Interscience, New York, 271 pp.
  • Noble, B. 1969. Applied linear algebra. Prentice-Hall, Englewood Cliffs, N.J., 523 pp.
  • östlund, H. G. and Fine, R. A. 1979. Oceanic distri-bution and transport of tritium. Behavior of tritium in the environment, International Atomic Energy Agency, Vienna, 303-314.
  • Roache, P. J. 1976. Computational fluid dynamics. Hermosa, Albuqurque, N. M., 446 pp.
  • Sarmiento, J. L. 1983. A simulation of bomb tritium entry into the Atlantic Ocean. J. Phys. Oceanogr. 13, 1924–1939.
  • Schröter, J. and Wunsch, C. 1986. Solution of non-linear finite difference ocean models by optimization methods with sensitivity and observational strategy analysis. J. Phys. Oceanogr. 16, 1855–1874.
  • Stuiver, M., östlund, H. G. and McConnaughey, T. A. 1981. GEOSECS Atlantic and Pacific I4C distri-bution. In Carbon cycle modelling, SCOPE Vol. 16, B. A. Bolin, ed., John Wiley, N.Y., 131-157.
  • Tarantola, A. and Valette, B. 1982. Generalized nonlinear inverse problems solved using the least squares criterion. Rev. Geophys. Space Phys. 20, 219–232.
  • Tikhonov, A. N. and Arsenin, V. Y. 1977. Solutions of ill-posed problems. V. H. Winston, Washington, D.C., 258 pp.
  • Twizell, E. H. 1984. Computational methods for partial differential equations. Ellis Horwood, Chichester, 276 pp.
  • Wagner, H. M. 1969. Principles of operations research, with applications to managerial decisions. Prentice-Hall, Englewood Cliffs, N.J., 937 pp. plus appendices.
  • Weiss, W., Roether, W. and Dreisigacker, E. 1979. Tritium in the North Atlantic Ocean. In Behavior of tritium in the environment, I. A. E. A., Vienna, 315-336.
  • Wen, C. Y. and Fan, L. T. 1975. Models for flow systems and chemical reactors. Marcel Dekker, N.Y., 570 pp.
  • Wunsch, C. and Minster, J.-F. 1982. Methods for box models and ocean circulation tracers: Mathematical programming and non-linear inverse theory. J. Geophys. Res. 87, 5647–5662.
  • Wunsch, C. 1978. The North Atlantic general circu-lation west of 50°W determined by inverse methods. Rev. Geophys. Space Phys. 16, 583–620.
  • Wunsch, C. 1984. An estimate of the upwelling rate in the equatorial Atlantic based on the distribution of bomb radiocarbon and quasi-geostrophic dynamics. J. Geophys. Res. 89, 7971–7978.
  • Wunsch, C. 1985. Can a tracer field be inverted for velocity?). Phys. Oceanogr. 11, 1521–1531.