Selected Publications:

• Zhou, G., and S. R. Fulton, 2009: Fourier Analysis of Multigrid Methods on Hexagonal Grids. SIAM J. Sci. Comp., 31, 1518-1538. Available online at SIAM Journals Online or as PDF (505k)

• Sifalakis, A. G., S. R. Fulton, E. P. Papadopoulou, and Y. G. Saridakis, 2009: Direct and iterative solution of the generalized Dirichlet-Neumann Map for elliptic PDEs on square domains. J. Comp. Appl. Math., 227, 171-184
  Available online at ScienceDirect: dx.doi.org/10.1016/j.cam.2008.07.025. or as PDF file (1075k)

• Sifalakis, A. G., A. S. Fokas, S. R. Fulton, and Y. G. Saridakis, 2008: The generalized Dirichlet-Neumann map for linear elliptic PDEs and its numerical implementation. J. Comp. Appl. Math., 219, 9-34.
  Available online at ScienceDirect: doi:10.1016/j.cam.2007.07.012 or as PDF (481k)

• Xenophontos, C. A., Kurtz, J., and S. R. Fulton, 2006: A p-version MITC finite element method for Reissner-Mindlin plates with curved boundaries. J. Comp. Appl. Math., 192, 374-395
  Available online at ScienceDirect: doi:10.1016/j.cam.2005.05.013 or as PDF (395k)

• Fulton, S. R., A. S. Fokas, and C. A. Xenophontos, 2004: An analytical method for linear elliptic PDEs and its numerical implementation. J. Comp. Appl. Math., 167, 465-483
  Available online at ScienceDirect: doi:10.1016/j.cam.2003.10.012 or as PDF (328k)

• Prieto, R., B. D. McNoldy, S. R. Fulton, and W. H. Schubert, 2003: A classification of tropical cyclone binary interactions. Monthly Weather Review, 131, 2656-2666.
  Available online at AMS Journals Online: [Abstract] [Full text] [Print version]

• Fulton, S. R., 2003: Calculus ABCs: A gateway for freshman calculus. PRIMUS, 13, 361-372.
  Preprint available in gzipped postscript (74k) or PDF (151k)

• Vigh, J., S. R. Fulton, M. DeMaria, and W. Schubert, 2003: Evaluation of a multigrid barotropic tropical cyclone track model. Monthly Weather Review, 131, 1629-1636. PDF (363k)

• Xenophontos, C., and S. R. Fulton, 2003: Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh. Num. Meth. PDEs, 19, 89-111.
  Preprint available in gzipped postscript (5.6M) or PDF (5.8M) [Abstract]

• Fulton, S. R., 2003: On the accuracy of multigrid truncation error estimates. Elec. Trans. Num. Anal., 15, 29-37.
  [Abstract] [ Full text (postscript: 459k)] [ Full text (PDF: 175k)]

• Fulton, S. R., 2001: An adaptive multigrid barotropic tropical cyclone track model. Monthly Weather Review, 129, 128-151.
  Available online at AMS Journals Online: [Abstract] [Full text] [Print version] [Preprint]

• Schubert, W. H., M. T. Montgomery, R. K. Taft, T. A. Guinn, S. R. Fulton, J. P. Kossin, and J. P. Edwards, 1999: Polygonal eyewalls, asymmetric eye contraction and potential vorticity mixing in hurricanes. J. Atmos. Sci., 56, 1197-1223.
  Available online at AMS Journals Online: [Abstract] [Full Text] [Print Version]

• Fulton, S. R., 1997: A comparison of multilevel adaptive methods for hurricane track prediction. Elec. Trans. Num. Anal., 6, 120-132.
  [Abstract] [Full text (postscript: 1354k)] [Full text (PDF: 258k)]

• Fulton, S., R., W. H. Schubert, and S. A. Hausman, 1995: Dynamical adjustment of mesoscale convective anvils. Mon. Wea. Rev., 123, 3215-3226.
  Available online at AMS Journals Online: [Abstract] [Print Version]
  Reprint available in PDF (983k)

• Fulton, S. R., 1994: Can Maple help in teaching calculus with limited time and staff? In Maple V: Mathematics and Its Application, R. J. Lopez, ed., Birkhäuser, 63-70.

• Fulton, S. R., 1993: A semi-implicit spectral method for the anelastic equations. J. Comp. Phys., 106, 299-305.

• Fulton, S. R., 1992: Multigrid solution of nonlinear balance equations in meteorology. Comm. Appl. Num. Meth., 8, 695-706.

• Fulton, S. R., and W. H. Schubert, 1991: Surface frontogenesis in isentropic coordinates. J. Atmos. Sci., 48, 2534-2541.
  Available online at AMS Journals Online: [Abstract] [Print Version]
  Reprint available in PDF (586k)

• Fulton, S. R., 1989: Multigrid solution of the semigeostrophic invertibility relation. Mon. Wea. Rev., 117, 2059-2066.
  Available online at AMS Journals Online: [Abstract] [Print Version]

• Fulton, S. R., and W. H. Schubert, 1987: Chebyshev spectral methods for limited-area models. Part I. Model problem analysis. Mon. Wea. Rev., 115, 1940-1953.
  Available online at AMS Journals Online: [Abstract] [Print Version]
  Reprint available in PDF (1.2M)

• Fulton, S. R., and W. H. Schubert, 1987: Chebyshev spectral methods for limited-area models. Part II. Shallow water model. Mon. Wea. Rev., 115, 1954-1965.
  Available online at AMS Journals Online: [Abstract] [Print Version]
  Reprint available in PDF (918k)

• Fulton, S. R., P. E. Ciesielski, and W. H. Schubert, 1986: Multigrid methods for elliptic problems: A review. Mon. Wea. Rev., 114, 943-959.
  Available online at AMS Journals Online: [Abstract] [Print Version]
  Reprint available in PDF (1.5M)

• Fulton, S. R., and W. H. Schubert, 1985: Vertical normal mode transforms: theory and application. Mon. Wea. Rev., 113, 647-658.
  Available online at AMS Journals Online: [Abstract] [Print Version]

Selected Conference Preprints:

• Xenophontos, C., J. Kurtz, and S. R. Fulton: On the uniform approximation of the Reissner-Mindlin plate model by p/hp finite element methods. Fifth World Conference on Computational Mechanics, Vienna, Austria, July 2002
  Preprint available in PDF (151k)

• Xenophontos, C., J. Kurtz, and S. R. Fulton: On the Approximation of the Reissner-Mindlin Plate by the p/hp Version of the Finite Element Method. Fourth GRACM Congress on Computational Mechanics, Patra, Greece, June 2002.
  Preprint available in PDF (140k)

• Fulton, S. R. and W. H. Schubert: Potential Vorticity Mixing in Shallow-Water Vortices. Twenty-Fifth Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, San Diego, California, April 2002.
  View abstract and preprint or download preprint in gzipped postscript (30k) or PDF (81k)

• Schubert, W. H., B. D. McNoldy, R. Prieto, J. L. Vigh, S. R. Fulton, and R. M. Zehr: A Case Study of Tropical Cyclone Merger. Twenty-Fifth Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, San Diego, California, April 2002.
  View abstract and preprint

• Fulton, S. R.: Potential Vorticity Mixing and Tropical Cyclone Motion. Twenty-Fourth Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, Fort Lauderdale, Florida, May 2000.
  Preprint available in gzipped postscript (178k) or PDF (237k)

• Mitchell, B. L., and S. R. Fulton, 2000: Experiments with an Adaptive Multigrid Shallow Water Tropical Cyclone Track Model. Twenty-Fourth Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, Fort Lauderdale, Florida, May 2000.
  Preprint available in gzipped postscript (65k) or PDF (115k)

• Hu, M. and S. R. Fulton, 2000: Comparison of Discretization Accuracy in an Adaptive Multigrid Barotropic Tropical Cyclone Track Model. Twenty-Fourth Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, Fort Lauderdale, Florida, May 2000.
  Preprint available in gzipped postscript (40k) or PDF (83k)

• Fulton, S. R., W. H. Schubert, and M. T. Montgomery: Potential vorticity mixing in hurricanes: comparison of nondivergent and divergent barotropic vortices. Twenty-Third Conference on Hurricanes and Tropical Meteorology, American Meteorological Society, Dallas, Texas, January 1999, Preprints, 686-688.
  Preprint available in gzipped postscript (29k) or PDF (76k)

Selected Technical Reports:

• Fulton, S. R., 2002: Semi-Implicit Time Differencing. Technical Report No. 2002-01, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 26 pp.
  Available in gzipped postscript (221k) or PDF (600k) (updated 1 June 2004)

• Hu, M. and S. R. Fulton, 2000: Higher Order Adaptive Multigrid Solution of a Fluid Flow Problem. Technical Report No. 2000-03, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 26 pp.
  Available in gzipped postscript (176k) or PDF (362k)

• Mitchell, B. L. and S. R. Fulton, 2000: Adaptive Multigrid Solution of the Shallow Water Equations. Technical Report No. 2000-02, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 28 pp.
  Available in gzipped postscript (356k) or PDF (531k)

• Burgess, N. M. and S. R. Fulton, 1999: Experiments with Higher-Order Multigrid Methods. Technical Report No. 99-02, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 23 pp.
  Available in gzipped postscript (127k) or PDF (259k)

• Fulton, S. R., and C. Xenophontos, 1999: Maple Tutorial #1: Getting Started. Technical Report No. 99-03, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 10 pp.
  Available in gzipped postscript (70k) or PDF (164k)

• Fulton, S. R., and C. Xenophontos, 1999: Maple Tutorial #2: Functions, Plots, and Equations. Technical Report No. 99-04, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 8 pp.
  Available in gzipped postscript (56k) or PDF (130k)

• Fulton, S. R., and C. Xenophontos, 1999: Maple Tutorial #3: Derivatives and Integrals. Technical Report No. 99-05, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 9 pp.
  Available in gzipped postscript (63k) or PDF (146k)

• Xenophontos, C., and S. R. Fulton, 1999: Maple Tutorial #4: Matrices and Vectors. Technical Report No. 99-06, Department of Mathematics and Computer Science, Clarkson University, Potsdam, NY, 13699-5815, 15 pp.
  Available in postscript (377k) or gzipped postscript (68k) or PDF (159k)