Selected Publications by Paul N. Swarztrauber

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    1. P. N. Swarztrauber, `` Shallow water flow on the sphere,'' The Monthly Weather Review, Accepted for publication.
    2. P. N. Swarztrauber, `` The communication machine, '' International Journal of High Speed Computing, 12(2004) pp. 69-82.
    3. P. N. Swarztrauber and W. F. Spotz, `` Spherical harmonic projectors, '' Mathematics of Computation, 73(2004), pp.753-760.
    4. P. N. Swarztrauber, `` Computing the points and weights for Gauss-Legendre quadrature, '' SIAM Journal on Scientific Computing , 24(2002), pp. 945-954.
    5. W. F. Spotz and P. N. Swarztrauber, Editors, Special issue on climate modeling, Computing in Science and Engineering, September-October 2002.
    6. N. Flyer and P. N. Swarztrauber, `` The convergence of spectral and finite difference methods for initial boundary-value problems, '' SIAM Journal on Scientific Computing , 23(2002), pp. 1731-1751.
    7. W. F. Spotz and P. N. Swarztrauber, ``A performance comparison of associated Legendre projections, '' Journal of Computational Physics, 168 (2001), pp. 339-355.
    8. P. N. Swarztrauber, `` The Vector Multiprocessor , '' International Journal of High Speed Computing, 11(2000).
    9. P. N. Swarztrauber and S. W. Hammond, `` A Comparison of Optimal FFTs on Torus and Hypercube Multicomputers , '' Parallel Computing, 27(2001), pp. 847-859.
    10. P. N. Swarztrauber and W. F. Spotz, ``Generalized discrete spherical harmonic transforms, '' Journal of Computational Physics, 159 (2000), pp. 213-230.
    11. J. C. Adams and P. N. Swarztrauber,`` SPHEREPACK 3.0: A model development facility, '' Monthly Weather Review 127(1999), pp. 1872-1878.
    12. W. F. Spotz, M. A. Taylor, and P. N. Swarztrauber, ``Fast shallow-water equation solvers in latitude-longitude coordinates, '' Journal of Computational Physics, 145 (1998) pp. 432-444.
    13. P. N. Swarztrauber,`` Transposing arrays on multicomputers using de Bruijn sequences, '' Journal of Parallel and Distributed Computing, 53 (1998) pp. 63-77.
    14. J. C. Adams and P. N. Swarztrauber,`` SPHEREPACK 2.0: A model development facility, '' NCAR Technical Note NCAR/TN-436-STR, September 1997.
    15. P. N. Swarztrauber, ``MPP: What went wrong? Can it be made right?, '' In: Proceedings of the Seventh Workshop on the Use of Parallel Processors in Meteorology; Making its Mark: The Use of Parallel Processors in Meteorology, G.-R. Hoffmann and Norbert Kreitz, eds., World Scientific Publishing Co. Pte. Ltd., London, 1997.
    16. P. N. Swarztrauber, D. L. Williamson, and J. B. Drake, `` The Cartesian method for solving partial differential equations in spherical geometry, '' Dynamics of Atmospheres and Oceans, 27 (1997), pp. 679-706.
    17. P. N. Swarztrauber, `` Spectral transform methods for solving the shallow water equations on the sphere, '' Monthly Weather Review 124(1996), pp. 730-744.
    18. P. N. Swarztrauber, `` The vector parallel paradigm, '' In:Proceedings of the International Conference on Advanced Mathematics, Computations & Applications, June 20-24, 1995, A.S. Alekseev & N.S. Bakhvalov, eds., NCC Publishers, Novosibirsk, Russia, 1995, pp. 675-687.
    19. D. H. Bailey and P. N. Swarztrauber, `` Efficient detection of a continuous-wave signal with a linear frequency drift, '' SIAM Journal on Scientific Computing 16(1995), pp. 1233-1239.
    20. D. H. Bailey and P. N. Swarztrauber, `` A fast method for the numerical evaluation of continuous Fourier and Laplace transforms, '' SIAM Journal on Scientific Computing, 15(1994), pp. 1105-1110.
    21. P. N. Swarztrauber and R. A. Sweet, `` Fourier and cyclic reduction methods for solving Poisson's equation , '' In: Handbook of Fluid Dynamics and Fluid Machinery, J. A. Schetz and A. E. Fuhs, eds., John Wiley & Sons, New York, NY, 1996.
    22. P. N. Swarztrauber, `` The vector harmonic transform method for solving partial differential equations in spherical geometry, '' The Monthly Weather Review, 121(1993), pp. 3415-3437.
    23. P. N. Swarztrauber, `` A parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix, '' Mathematics of Computation, 20(1993), pp. 651-668.
    24. D. H. Bailey and P. N. Swarztrauber, `` Fast fractional Fourier transforms and applications, '' SIAM Review 33(1991), pp. 389-404.
    25. C. Tong and P. N. Swarztrauber, `` Ordered fast Fourier transforms on a massively parallel hypercube multiprocessor , '' Journal of Parallel and Distributed Computing, 12(1991), pp. 50-59.
    26. W. L. Briggs, P. N. Swarztrauber, R. A. Sweet, V. E. Henson, and J. Otto, `` Bluestein's FFT for arbitrary N on the hypercube , '' Parallel Computing, 17(1991), pp. 607-617.
    27. P. N. Swarztrauber and R.K. Sato, `` Solving the shallow water equations on the Cray X-MP/48 and the Connection Machine 2, '' In: The Dawn of Massively Parallel Processing in Meteorology, G.-R. Hoffmann and D.K. Maretis, eds., Springer-Verlag, 1989, pp. 260-276.
    28. R.K. Sato and P. N. Swarztrauber, `` Benchmarking the Connection Machine, '' Proceedings of the Supercomputing Conference, Nov. 14-18,1988, Orlando, FL, Published by the Computer Society of the IEEE, Washington, DC
    29. P. N. Swarztrauber, `` Transposing large arrays in extended memory, '' In:Multiprocessing in Meteorological Models, G.-R. Hoffman and D.F. Snelling, eds., Springer-Verlag, 1988, pp. 283-288.
    30. P. N. Swarztrauber, `` Multiprocessor FFTs, '' Parallel Computing/ 5(1987), pp. 197-210.
    31. P. N. Swarztrauber, `` Approximate cyclic reduction, '' SIAM Journal on Scientific and Statistical Computing 8(1987), pp. 199-209.
    32. P. N. Swarztrauber, `` Symmetric FFTs, '' Mathematics of Computation 47(1986), pp. 323-346.
    33. P. N. Swarztrauber, `` The approximation of vector functions and their derivatives on the sphere, '' SIAM Journal on Numerical Analysis 18(1981), pp. 191-210.
    34. P. N. Swarztrauber, `` A direct method for the discrete solution of separable elliptic equations, '' SIAM Journal on Numerical Analysis 11(1974), pp. 1136-1150.