Publications

Michael E. Henderson

Books and Chapters in Books

Object Oriented Methods for Interoperable Scientific and Engineering Computing
Michael E. Henderson, Christopher R. Anderson, Stephen L. Lyons, (eds.), SIAM Proceedings in Applied Mathematics, 1999.
Higher Dimensional Continuation,
in "Numerical Continuation Methods for Dynamical Systems:Path following and boundary value problems",
B. Krauskopf, H. M. Osinga, J. Galan--Vioque eds., Springer series on "Understanding Complex Systems", 2007.

Journal Articles
 

A Survey of Methods for Computing (Un)Stable Manifolds of Vector Fields
Bernd Krauskopf, H.M. Osinga, Eusebius J. Doedel, Michael E. Henderson, John M. Guckenheimer, Alexander Vladimirsky, Michael Dellnitz & Oliver Junge
Int. J. Bifurcation and Chaos 15(3), 2005, 763-791.
Multiparameter Parallel Search Branch Switching
Michael E. Henderson, Int. J. Bifurcation and Chaos 15(3), 2005, 967-974.
Computing Invariant Manifolds by Integrating Fat Trajectories 
Michael E. Henderson,  SIAM J. Appl. Dyn. Sys. 4(4), 2005, 832--882
Classification of the spatial equilibria of the clamped elastica: Numerical continuation of the solution set 
Michael E. Henderson, Sebastien Neukirch, Int. J. Bifurcation and Chaos, 14(4): 1223--1239, 2004
Classification of the spatial equilibria of the clamped elastica: Symmetries and zoology of solutions 
Sebastien Neukirch, Michael E. Henderson, J. Elasticity, 68, pp. 95–121, Dec. 2002.
Multiple Parameter Continuation: Computing Implicitly Defined k-Manifolds 
Michael E. Henderson, , Int. J. Bifurcation and Chaos, 12(3):451–76,2002.
IJBC cover
Techniques for including large deformations associated with salt and non-vertical fault motion in basin modeling 
Ulisses T. Mello and Michael E. Henderson, Marine and Petroleum Geology, Vol. 14, No. 5, 1997, pp. 551–564.
The geometry and computation of the dynamics of coupled pendula 
M. E. Henderson, M. Levi, and F. Odeh, Int. J. Bifurcation and Chaos, 1(1):27–50, 1991.
Complex bifurcation from real paths 
M. E. Henderson and H. B. Keller, SIAM J. Appl. Math., 50(2):460–482, April 1990.
Synergy in parallel algorithms 
M. E. Henderson and W. L. Miranker, Parallel Computing, 11:17–35, 1989.
The interaction of numerics and machines 
C. C. Douglas, M. E. Henderson, S. Horiguchi, W. L. Miranker, B. F. Smith, and A. Winkler, Informationstechnik, 2:83–98, 1988.

Articles in Conference Proceedings
 

Covering an Invariant Manifold with Fat Trajectories
Michael E. Henderson, In Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
Gorban, Keverkidis, Ottinger, Kazantzia, Theodropolus, Springer 2006
Simulation of Multiphase non-Darcy Flow through Porous Media 
Dimitrios V. Papavassiliou, Stephen L. Lyons, and Michael E. Henderson, 2nd International Symposium on Computational Technologies for Fluid/Thermal/Chemical Systems with Industrial Applications, August 1–5, 1999, Boston, MA.
When the “One Size Fits All” Doesn’t Fit 
Michael E. Henderson, In Object Oriented Methods for Interoperable Scientific and Engineering Computing, SIAM Proceedings in Applied Mathematics, Michael E. Henderson, Christopher R. Anderson, Stephen L. Lyons eds., 1999.
Flow in porus media using NAO finite difference classes 
Michael E. Henderson and Stephen L. Lyons, In Scientific Computing in Object-Oriented Parallel Environments, Springer Lecture Notes in Computer Science, No. 1343, Ishikawa, Oldehoeft, Reynders, and Tholburn eds. December 1997, pp. 225–232.
Object classes for numerical analysis 
Craig C. Douglas, David A. George, and Michael E. Henderson, in Proceedings of the second annual object-oriented numerics conference, pages 32–49, April 1994.
Computation of singular solutions in the micromagnetics of thin films 
Timothy Brule and Michael E. Henderson, in Proceedings of the first world congress of nonlinear analysts, pages 3823–3834, 1992.
Instability, vortex shedding, and numerical convergence 
Christopher Anderson, Claude Greengard, and Michael Henderson,  in Vortex Methods. Proceedings, Los Angeles 1987, volume 1360 of Lecture notes in mathematics, C. Anderson, C. Greengard eds. pp 42–55.
An application of complex bifurcation to a problem in computer graphics 
M. E. Henderson, in Bifurcation: Analysis, Algorithms, Applications, Lecture notes in Mathematics, pages 114–121. Birkhauser, 1987.
Synergy in parallel algorithms 
M. E. Henderson and W. L. Miranker, in Proceedings of the 26th conference on decision and control, pages 1482–1486, 1987. Translated by Plenum Publishing.

Software
 

Multifario
Michael E. Henderson, COIN-OR
NLPAPI
Michael E. Henderson, COIN-OR
NAO
Michael E. Henderson (no longer being distributed)

Research Reports
 

An expression compiler
Michael E. Henderson, IBM Research report RC19570, IBM Research, May 1994.
Computing implicitly defined surfaces: Two parameter continuation
Michael E. Henderson, IBM Research report RC18777, IBM Research, March 1993.
Computing periodic solutions and their parameter dependance 
Michael E. Henderson, IBM Research report RC17350, IBM Research, Oct 1991.
Branch switching in homotopy methods for finding all roots of a system of polynomials 
Michael E. Henderson, IBM Research report RC13287, IBM Research, Nov 1987.

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