David F. Anderson - Publications

Affiliations: 
2003-2005 Duke University, Durham, NC 

24 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Anderson DF, Higham DJ, Sun Y. Multilevel Monte Carlo for stoch astic differential equations with small noise Siam Journal On Numerical Analysis. 54: 505-529. DOI: 10.1137/15M1024664  1
2015 Anderson DF, Craciun G, Gopalkrishnan M, Wiuf C. Lyapunov Functions, Stationary Distributions, and Non-equilibrium Potential for Reaction Networks. Bulletin of Mathematical Biology. 77: 1744-67. PMID 26376889 DOI: 10.1007/s11538-015-0102-8  1
2015 Wolf ES, Anderson DF. Hybrid pathwise sensitivity methods for discrete stochastic models of chemical reaction systems. The Journal of Chemical Physics. 142: 034103. PMID 25612685 DOI: 10.1063/1.4905332  1
2015 Anderson DF, Ermentrout B, Thomas PJ. Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics. Journal of Computational Neuroscience. 38: 67-82. PMID 25408289 DOI: 10.1007/s10827-014-0528-2  1
2014 Anderson DF, Enciso GA, Johnston MD. Stochastic analysis of biochemical reaction networks with absolute concentration robustness. Journal of the Royal Society, Interface / the Royal Society. 11: 20130943. PMID 24522780 DOI: 10.1098/rsif.2013.0943  1
2014 Anderson DF, Higham DJ, Sun Y. Complexity of multilevel Monte Carlo Tau-leaping Siam Journal On Numerical Analysis. 52: 3106-3127. DOI: 10.1137/130940761  1
2014 Anderson DF, Koyama M. An asymptotic relationship between coupling methods for stochastically modeled population processes Ima Journal of Numerical Analysis. 35: 1757-1778. DOI: 10.1093/imanum/dru044  1
2013 Srivastava R, Anderson DF, Rawlings JB. Comparison of finite difference based methods to obtain sensitivities of stochastic chemical kinetic models. The Journal of Chemical Physics. 138: 074110. PMID 23445000 DOI: 10.1063/1.4790650  1
2012 Wolf ES, Anderson DF. A finite difference method for estimating second order parameter sensitivities of discrete stochastic chemical reaction networks. The Journal of Chemical Physics. 137: 224112. PMID 23248992 DOI: 10.1063/1.4770052  1
2012 Anderson DF, Koyama M. Weak error analysis of numerical methods for stochastic models of population processes Multiscale Modeling and Simulation. 10: 1493-1524. DOI: 10.1137/110849699  1
2012 Anderson DF. An efficient finite difference method for parameter sensitivities of continuous time Markov chains Siam Journal On Numerical Analysis. 50: 2237-2258. DOI: 10.1137/110849079  1
2012 Anderson DF, Higham DJ. Multilevel Monte Carlo for continuous time Markov Chains, with applications in biochemical kinetics Multiscale Modeling and Simulation. 10: 146-179. DOI: 10.1137/110840546  1
2011 Anderson DF, Ganguly A, Kurtz TG. Error analysis of tau-leap simulation methods Annals of Applied Probability. 21: 2226-2262. DOI: 10.1214/10-AAP756  1
2011 Anderson DF. A proof of the Global Attractor Conjecture in the single linkage class case Siam Journal On Applied Mathematics. 71: 1487-1508. DOI: 10.1137/11082631X  1
2011 Anderson DF. Boundedness of trajectories for weakly reversible, single linkage class reaction systems Journal of Mathematical Chemistry. 49: 2275-2290. DOI: 10.1007/s10910-011-9886-4  1
2011 Anderson DF, Mattingly JC. A weak trapezoidal method for a class of stochastic differential equations Communications in Mathematical Sciences. 9: 301-318.  1
2010 Anderson DF, Craciun G, Kurtz TG. Product-form stationary distributions for deficiency zero chemical reaction networks. Bulletin of Mathematical Biology. 72: 1947-70. PMID 20306147 DOI: 10.1007/s11538-010-9517-4  1
2010 Anderson DF, Shiu A. The dynamics of weakly reversible population processes near facets Siam Journal On Applied Mathematics. 70: 1840-1858. DOI: 10.1137/090764098  1
2008 Anderson DF. Incorporating postleap checks in tau-leaping. The Journal of Chemical Physics. 128: 054103. PMID 18266441 DOI: 10.1063/1.2819665  1
2008 Anderson DF. Global asymptotic stability for a class of nonlinear chemical equations Siam Journal On Applied Mathematics. 68: 1464-1476. DOI: 10.1137/070698282  1
2007 Anderson DF, Mattingly JC. Propagation of fluctuations in biochemical systems, II: Nonlinear chains. Iet Systems Biology. 1: 313-25. PMID 18203578 DOI: 10.1049/iet-syb:20060063  1
2007 Anderson DF. A modified next reaction method for simulating chemical systems with time dependent propensities and delays. The Journal of Chemical Physics. 127: 214107. PMID 18067349 DOI: 10.1063/1.2799998  1
2007 Anderson DF, Mattingly JC, Nijhout HF, Reed MC. Propagation of fluctuations in biochemical systems, I: linear SSC networks. Bulletin of Mathematical Biology. 69: 1791-813. PMID 17457656 DOI: 10.1007/s11538-007-9192-2  1
2006 Nijhout HF, Reed MC, Anderson DF, Mattingly JC, James SJ, Ulrich CM. Long-range allosteric interactions between the folate and methionine cycles stabilize DNA methylation reaction rate. Epigenetics : Official Journal of the Dna Methylation Society. 1: 81-7. PMID 17998813 DOI: 10.4161/epi.1.2.2677  1
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