David F. Anderson

Assistant
Professor
Contact
Information:
Department of
Mathematics
University of Wisconsin Madison
480 Lincoln Drive,
Madison WI 53706
Email: anderson at math dot wisc dot edu
Phone: (608) 263-4943
Fall 2009 teaching:
Math 211(calculus).
Spring 2010 teaching:
- Math 431 -- Intro to probability
- Math 801 --
Topics in Applied Mathematics: Stochastic Models in Biology
Research Interests: Probability
theory, numerical analysis and scientific computing, and
mathematical/systems biology.
Curriculum Vitae (updated September
2009)
Recent Presentations
(with slides)
Publications
- David F. Anderson and Jonathan C. Mattingly,
A weak
trapezoidal
method for a class of stochastic differential equations,
to appear in Communications in Mathematical Sciences, arXiv:0906.3475v1.
- David F. Anderson, Arnab Ganguly, and Thomas G.
Kurtz,
Error analysis of tau-leap simulation methods, submitted, arXiv:0909.4790v1.
- David F. Anderson, Gheorghe Craciun, and Thomas
G. Kurtz, Product-form
stationary
distributions for deficiency zero chemical reaction networks,
to appear in Bulletin of Mathematical Biology, arXiv:0803.3042.
- David F. Anderson and Anne Shiu, The dynamics of weakly
reversible population processes near facets,
to appear in SIAM J. Appl. Math, arXiv:0903.0901.
- David F. Anderson, Global asymptotic
stability for a class of nonlinear chemical equations, SIAM
J. Appl. Math, 68(5), pgs. 1464 - 1476, May 2008.
- David F. Anderson, Incorporating
postleap checks in tau-leaping, Journal of Chemical Physics, 128(5),
054103, February 2008.
- David F. Anderson, A modified Next
Reaction Method for simulating chemical systems with time dependent
propensities and delays, Journal of Chemical Physics, 127(21),
214107, December 2007.
- David F. Anderson and Jonathan C. Mattingly,
Propagation of Fluctuations in Biochemical Reaction Systems,
II:
Nonlinear Chains, IET Systems Biology, 1(6), 313 -
325,
November 2007.
- David F. Anderson, Jonathan C. Mattingly, H.
Frederik Nijhout,
Michael Reed,
Propagation of Fluctuations in Biochemical Systems, I: Linear
SSC
Networks, Bulletin of Mathematical Biology, 69(6),
1791 - 1813,
August 2007.
- H. Frederik Nijhout, Michael C. Reed, David F.
Anderson,
Jonathan
C. Mattingly, S. Jill James, and Cornelia M. Ulrich,
Long-Range Allosteric Interactions between the Folate and Methionine
Cycles Stabilize DNA Methylation Reaction Rate, Epigenetics, 1(2),
81 - 87, April/May 2006.
- David F. Anderson, Stochastic
Perturbations of Biochemical Reaction Systems, PhD Thesis,
2005.