Wayne Hayes's Papers (could be out-of-date; check my CV)

Popular articles about my work

• Lea Winerman. "Galaxy Shadows". From Physics Focus 27 Feb 2003.

Invited, Refereed Journal Papers

• Wayne Hayes. "Computer simulations, exact trajectories, and the gravitational n-body problem". American Journal of Physics 72:9, September 2004, pp. 1251-1257. Preprint available in Gzip'd Postscript and PDF.

Refereed Journal Papers (reverse chronological)

• Wayne Hayes. "Surfing on the edge: chaos versus near-integrability in the system of Jovian planets" Monthly Notices of the Royal Astronomical Society 386 pp. 295-306 (2008). Available in PDF.
• Wayne Hayes. "Is the outer Solar System Chaotic?" Nature Physics 3, pp. 689-691 (2007). Preprint available in PDF.
• Wayne Hayes and Ken Jackson. "A Fast Shadowing Algorithm for High Dimensional ODE Systems." SIAM Journal on Scientific Computing 29:4, 1738-1758 (2007).
• Wayne Hayes and Wayne Enright. "Robust and Reliable Defect Control for Runge Kutta methods." ACM Transactions on Mathematical Software 33:1, 19 pages, 2007. Preprint available is Gzip'd Postscript and PDF.
• Michael Roberts, Aleksey V. Zimin, Wayne Hayes, Brian Hunt, Cevat Ustun, James White, Paul Havlak, James Yorke. "Improving Phrap-based assembly of the Rat using reliable overlaps." Accepted to PLoS ONE.
• Carmen Young, Wayne Hayes and Ken Jackson. "Rigorous High-dimensional shadowing using containment: the general case". Discrete and Continuous Dynamical Systems 14:2, February 2006 pp. 329-342. Preprint available in Gzip'd Postscript, Raw Postscript, and PDF.
• Wayne Hayes and Ken Jackson. "A Survey of Shadowing Methods for Numerical Solutions of Ordinary Differential Equations". Applied Numerical Mathematics 53:1-2, pp. 299-321 (2005). Elsevier Electronic Publication. Preprint available in Gzip'd Postscript, Raw Postscript and PDF
• Wayne Hayes, Brian Hunt, Steve Mount, Michael Roberts, James Yorke. "Reducing storage requirements for biological sequence comparison". Accepted to Bioinformatics. Preprint available in Gzip'd Postscript and PDF.
• Wayne Hayes and Kenneth R. Jackson. "Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment". SIAM Journal on Numerical Analysis 41:5 pp. 1948-1973 (2003). PDF, gzip'd postscript or raw postscript.
• Wayne Hayes. "Shadowing-based reliability decay in collisionless gravitational N-body systems". Astrophysical Journal Letters 587:L59-L62 (2003-Apr-20). PDF (85K) gzip'd postscript (102K) postscript (207K)
• Wayne Hayes. "Shadowing high-dimensional Hamiltonian Systems: the Gravitational n-body Problem". Physics Review Letters 90:5 (2003). PDF (98K), Gzip'd Postscript (39K) or Postscript (132K).
• Wayne Hayes and Scott Tremaine. "Fitting Selected Random Solar Systems to Titius-Bode Laws". Icarus 135, 549-557 (1998). An earlier version is available from xxx.lanl.gov as astro-ph/9710116.
• Bill Katz, Dan Driscoll, Kai Millyard, Bruce Waters, Mark Zalcik, Joe Adair, Andreas Gada, Wayne Hayes, Richard Kelsch, Richard McWaters, Richard Rokosz, John Zehethofer, Alex Fullerton, Ron Lyons, Marshall McCall. "Optical flashes in Perseus" Astrophysical Journal Letters, 307:L33-L37 (1986). This paper is available from the ADS Abstract Service

Refereed Conference Papers

• Wayne B. Hayes & Kenneth R. Jackson. Global error measures for the large gravitatonal N-body problem. 12th ``Kingston'' meeting on theoretical astrophysics: Computational Astrophysics, 1996 Oct 16-18, Halifax, Nova Scotia, Canada.
• Wayne Hayes and Mart L. Molle. "Solving Capture in Switched Two-Node Ethernets by Changing Only One Node." Proceedings of the 20th Annual Conference on Local Computer Networks, LCN '95, Oct 1995 Minneapolis, Minnesota USA. Abstract and gzip'd postscript full text.

Talks and Posters

• Ken Jackson and Wayne Hayes, "Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment", a 50 minute talk presented at NUMDIFF 10, a tri-annual conference on the numerical solution of differential and differential-algebraic equations, Halle, Germany, September, 2003.
• Michael Roberts, James Yorke, Brian Hunt, Wayne Hayes, Cevat Ustun, Aleksey Zimin, Paul Havlak. "Improving Sequence Assemblies using high-quality overlaps". Talk given at RECOMB '03 satellite conference on DNA Sequencing Technologies and Computation, Stanford University, May 2003. Abstract available in text, Postscript, and PDF.
• Michael Roberts, James Yorke, Brian Hunt, Wayne Hayes, Cevat Ustun, Aleksey Zimin, Paul Havlak. "Improving Sequence Assemblies using high-quality overlaps". Poster at Intelligent Systems for Molecular Biology (ISMB). Brisbase, Australia, June 29-July 3, 2003.
• "A Shadowing-based timestep criterion for softened gravitational n-body simulations". Wayne Hayes, Nonlinear Dynamics Seminar at the Institute for Physical Sciences and Technology at the University of Maryland, 2002-Oct-10.
• "Shadowing high-dimensional Hamiltonian systems: the gravitational n-body problem". Wayne Hayes, Nonlinear Dynamics Seminar at the Institute for Physical Sciences and Technology at the University of Maryland, 2002-May-16.
• "Rigorous shadowing of Numerical Solutions to Ordinary Differential Equations by Containment". Wayne Hayes & Ken Jackson, SciCADE 2001, August 2001, Vancouver, British Columbia, Canada.
• "Rigorous shadowing of Numerical Solutions to Ordinary Differential Equations by Containment". Wayne Hayes & Ken Jackson, Southern Ontario and Western New York Numerical Analysis Day Conference, 29 Apr 1999, McMaster University, Hamilton, Ontario.
• "Can we trust numerical simulations of galaxy dynamics?" Galaxy Dynamics Conference, Rutgers University, 8-12 August 1998.
• "Rigorous Containment of Shadows of High-Dimensional Dynamical Systems" SIAM 1998 Annual Meeting, Toronto, Canada, July 13-17 1998.
• "A Fast Shadowing Algorithm for High Dimensional ODE Systems", talk given to Numerical Analysis group at U of Toronto, 22 Mar 1996.
• "Shadowing the Large Gravitational N-body Problem", G2000 seminar given to the Dept. of Astronomy, U of Toronto, 10 Jan 1996.
• Wayne Hayes & Kenneth R. Jackson. "A Fast Shadowing Algorithm for High Dimensional ODE Systems" Talk given to Dynamical Numerical Analysis Conference, Georgia Tech, Atlanta, Dec 14-16 1995. Abstract and gzip'd postscript full text.
• "High-dimensional shadowing and the large gravitational N-body problem" Talk given to Numerical Analysis day, U. of Waterloo, 1995.

M.Sc. Thesis and Ph.D. work

• Wayne Hayes "Rigorous shadowing of Numerical Solutions of Ordinary Differential Equations by Containment". Ph.D. thesis, Computer Science Dept., University of Toronto (2001).
• Wayne Hayes. "Shadowing the Gravitational N-body Problem". Ph.D. Research Proposal, February 1998. E-mail me at wayne@cs.toronto.edu if you're interested in this paper.
• Wayne Hayes. "A Brief Survey of Issues Relating to the Reliability of Simulation of the Large Gravitational N-body Problem" Ph.D. Qualifying Depth paper, June 1996. This is available both as a Web document and in postscript.
• Wayne Hayes. "Efficient Shadowing of High-Dimensional Chaotic Systems with the Large Astrophysical N-body Problem as an Example" M.Sc. Thesis, Jan 1995, University of Toronto. This thesis is availble both as a Web document and in postscript.

Book Reviews