References

1

A. Arakawa and V. R. Lamb, Computational design of the basic dynamical processes of the UCLA general circulation model, in Methods in Computational Physics 17, Academic Press, 1977, pp. 174-265.

2

C. Bischof, A. Carle, G. Corliss, A. Griewank, and P. Hovland, ADIFOR: Generating derivative codes from Fortran programs, Scientific Programming, 1 (1992), pp. 11-29.

3

C. Bischof, A. Carle, P. Khademi, and A. Mauer, The ADIFOR 2.0 system for the automatic differentiation of Fortran 77 programs, 1994. Preprint MCS-P481-1194, Mathematics and Computer Science Division, Argonne National Laboratory, and CRPC-TR94491, Center for Research on Parallel Computation, Rice University. To appear in IEEE Computational Science & Engineering.

4

C. Bischof and F. Dilley, A compilation of automatic differentiation tools, ACM SIGNUM Newsletter, 30 (1995), pp. 2-20.

5

C. Bischof, G. Pusch, and R. Knoesel, Sensitivity analysis of the MM5 weather model using automatic differentiation, Preprint MCS-P532-0895, Mathematics and Computer Science Division, Argonne National Laboratory, 1995.

6

C. H. Bischof, Automatic differentiation, tangent linear models and pseudo-adjoints, in High-Performance Computing in the Geosciences, F.-X. Le Dimet, ed., vol. 462 of Series C: Mathematical and Physical Sciences, Boston, Mass., 1995, Kluwer Academic Publishers, pp. 59-80.

7

K. K. Droegemeier, S. M. Lazarus, and R. Davies-Jones, The influence of helicity on numerically simulated convective storms, Monthly Weather Review, 121 (1993), pp. 2005-2029.

8

R. M. Errico and T. Vukicevic, Sensitivity analysis using an adjoint of the PSU-NCAR mesoscale model, Monthly Weather Review, 120 (1992), pp. 1644-1660.

9

B. Friedman, Principles and Techniques of Applied Mathematics, John Wiley & Sons, 1956.

10

R. Giering, Adjoint model compiler, manual version 0.2, AMC version 2.04, tech. rep., Max-Planck Institut für Meteorologie, August 1992.

11

D. Hwang and D. Byun, Application of automatic differentiation for studying the sensitivity of numerical advection schemes in air quality models, in Proc. High Performance Computing 1995, Phoenix, AZ, April 9-13, 1995, pp. 52-57.

12

E. Kessler, On the distribution and continuity of water substance in atmospheric circulation, Meteorological Monograph, 10 (1969).

13

J. B. Klemp and R. B. Wilhelmson, The simulation of three-dimensional convective storm dynamics, Journal of Atmospheric Sciences, 35 (1978), pp. 1070-1096.

14

J. M. Lewis and J. C. Derber, The use of adjoint equations to solve a variational adjustment problem with advective constraints, Tellus, 37A (1985), pp. 309-322.

15

S. K. Park, Sensitivity Analysis of Deep Convective Storms, PhD thesis, School of Meteorology, University of Oklahoma, 1996.

16

S. K. Park and K. Droegemeier, On the use of automatic differentiation to assess parametric sensitivity in convective-scale variational data assimilation, in Preprints, Proc. 2nd Int. Symp. on Assimilation of Observations in Meteorology and Oceanography, Tokyo, Japan, March 1995., World Meteorological Organization, 1995, p. 111-116.

17

S. K. Park, K. Droegemeier, C. Bischof, and T. Knauff, Sensitivity analysis of numerically-simulated convective storms using direct and adjoint methods, in Preprints, 10th Conference on Numerical Weather Prediction, Portland, Oregon, American Meterological Society, 1994, pp. 457-459.

18

Y. Ronen, Uncertainty analysis based on sensitivity analysis, in Uncertainty Analysis, CRC Press, 1988, pp. 41-70.

19

N. Rostaing, S. Dalmas, and A. Galligo, Automatic differentiation in Odyssee, Tellus, 45a (1993), pp. 558-568.

20

Z. Wang, Variational data assimilation with 2-d shallow water equations and 3-d FSU global spectral models, Tech. Rep. FSU-SCRI-93T-149, Florida State University, Department of Mathematics, December 1993.

21

B. A. Worley, E. M. Oblow, R. E. Pin, J. E. Maerker, J. E. Horwedel, R. Q. Wright, and J. L. Lucius, Deterministic methods for sensitivity and uncertainty analysis in large-scale computer models, in Proc. Conf. on Geostatistical, Sensitivity, and Uncertainty Methods for Ground-Water Flow and Radionuclide Transport Modelling, B. E. Buxton, ed., Battelle Press, 1987, pp. 135-154.

22

M. Xue, K. K. Droegemeier, V. Wong, A. Shapiro, and K. Brewster, ARPS 4.0 User's Guide, Center for Analysis and Prediction of Storms, University of Oklahoma, 1995.