Browse by all authors Browse By Author ID - Burrage, Pamela M.

Browse Results (22 results found)

Subscribe to the RSS feed for this result setSubscribe to the RSS feed for this result set

Refine

  Abstract Views File Downloads Thomson Reuters Web of Science Citation Count Scopus Citation Count Altmetric Score
Burrage, K, Burrage, PM and Belward, JA (1997) A bound on the maximum strong order of stochastic Runge-Kutta methods for stochastic ordinary differential equations. BIT Numerical Mathematics, 37 4: 771-780. doi:10.1007/BF02510351 74   11 0
Brugnano, L., Burrage, K. and Burrage, P. M. (2000) Adams-type methods for the numerical solution of stochastic ordinary differential equations. BIT Numerical Mathematics, 40 3: 451-470. doi:10.1023/A:1022363612387 68   18 0
Burrage, PM, Herdiana, R and Burrage, K (2004) Adaptive stepsize based on control theory for stochastic differential equations. Journal of Computational And Applied Mathematics, 170 2: 317-336. doi:10.1016/j.cam.2004.01.027 147   14 Cited 15 times in Scopus15 0
Burrage, K., Burrage, P. M., Jeffrey, S. J., Pickett, T., Sidje, R. B. and Tian, T. (2003). A Grid Implementation of Chemical Kinetic Simulation Methods in Genetic Regulation. In: J. Young and R. Chhabra, Proceedings of the APAC Conference and Exhibition on Advanced Computing, Grid Applications and eResearch. APAC'03, Royal Pines Resort, Gold Coast, (1-8). 29 September - 2 October 2003. 145  
Burrage, Kevin, Tian, Tianhai and Burrage, Pamela (2004) A multi-scaled approach for simulating chemical reaction systems. Progress in Biophysics and Molecular Biology, 85 2-3: 217-234. doi:10.1016/j.pbiomolbio.2004.01.004 75   64 Cited 74 times in Scopus74 3
Burrage, P. M., Burrage, K., Kurowski, K., Lorenc, M., Nicolau Jr., D. V., Swain, M. and Ragan, M. A. (2009). A parallel plasma membrane simulation. In: 2009 International Workshop on High Performance Computational Systems Biology (HiBi 2009). Proceedings. HiBi 09: 1st International Workshop on High Performance Computational Systems Biology, Trento, Italy, (105-112). 14-16 October, 2009. doi:10.1109/HiBi.2009.18 39   0 Cited 0 times in Scopus0 0
Burrage, PM and Burrage, K (2002) A variable stepsize implementation for stochastic differential equations. Siam Journal On Scientific Computing, 24 3: 848-864. doi:10.1137/S1064827500376922 205   28 Cited 26 times in Scopus26 0
Burrage, K., Burrage,P. M., Hamilton, N. and Tian, T (2006). Computer-intensive simulations for cellular models. In Albert Y Zomaya (Ed.), Parallel Computing in Bioinformatics and Computational Biology 1 ed. (pp. 79-119) New Jersey, USA: John Wiley & Sons. 92  
Deleyrolle, Loic P., Ericksson, Geoffery, Morrison, Brian J., Lopez, J. Alejandro, Burrage, Kevin, Burrage, Pamela, Vescovi, Angelo, Rietze, Rodney L. and Reynolds, Brent A. (2011) Determination of somatic and cancer stem cell self-renewing symmetric division rate using sphere assays. PLoS One, 6 1: e15844.1-e15844.11. doi:10.1371/journal.pone.0015844 75   20 Cited 20 times in Scopus20 1
Burrage, K. and Burrage, P. M. (1998) General order conditions for stochastic Runge-Kutta methods for both commuting and non-commuting stochastic ordinary differential equation systems. Applied Numerical Mathematics, 28 2-4: 161-177. doi:10.1016/S0168-9274(98)00042-7 55   26 0
Burrage, K. and Burrage, P. M. (1996) High strong order explicit Runge-Kutta methods for stochastic ordinary differential equations. Applied Numerical Mathematics, 22 1-3: 81-101. doi:10.1016/S0168-9274(96)00027-X 58   79 0
Burrage, K. and Burrage, P. M. (1999) High strong order methods for non-commutative stochastic ordinary differential equation systems and the Magnus formula. Physica D, 133 1-4: 34-48. doi:10.1016/S0167-2789(99)00097-4 265   19 0
Leier, Andre, Marquez-Lago, Tatiana, Burrage, Kevin and Burrage, Pamela (2008) Modeling intrinsic noise and delays in chemical kinetics of coupled autoregulated oscillating cells. International Journal for Multiscale Computational Engineering, 6 1: 77-86. doi:10.1615/IntJMultCompEng.v6.i1.70 100   1 Cited 2 times in Scopus2 0
Burrage, K., Burrage, P. M. and Tian, T. (2001). Numerical methods for solving stochastic differential equations on parallel computers. In: J. Young, Proceedings of the 5th International Conference and Exhibition on High-Performance in the Asian-Pacific Region. 5th International Conference and Exhibition on High-Performance in the Asian-Pacific Region (HPPC Asia 2001), Gold Coast, Queensland, (). 24-28 September, 2001. 211  
Burrage, K., Burrage, P. M. and Tian, T. (2004) Numerical methods for strong solutions of stochastic differential equations: an overview. Proceedings of The Royal Society of London Series A-mathematical Physical And Engineering Sciences, 460 2041: 373-402. doi:10.1098/rspa.2003.1247 94   60 Cited 66 times in Scopus66 0
Carletti, M., Burrage, K. and Burrage, P.M. (2004) Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Mathematics And Computers In Simulation, 64 2: 271-277. doi:10.1016/j.matcom.2003.09.022 115   21 Cited 24 times in Scopus24 0
Burrage, Kevin, Burrage, Pamela and Mitsui, Taketomo (2000) Numerical solutions of stochastic differential equations - implementation and stability issues. Journal of Computational and Applied Mathematics, 125 1-2: 171-182. doi:10.1016/S0377-0427(00)00467-2 77   39 Cited 46 times in Scopus46 0
Burrage, K. and Burrage, P. M. (2000) Order conditions of stochastic Runge-Kutta methods by B-series. SIAM Journal of Numerical Analysis, 38 5: 1626-1646. doi:10.1137/S0036142999363206 84   58 Cited 59 times in Scopus59 0
Leier, A., Burrage, K. and Burrage, P. M. (2007). Scholastic modelling and simulation of coupled autoregulated oscillators in a multicellular environment: the her1/her7 genes. In: Proceedings- ICCS 2007. Computational Science – ICCS 2007 7th International Conference, Beijing, China, (778-785). 27-30 May 2007. doi:10.1007/978-3-540-72584-8 255   0 0
Tian, Tianhai, Burrage, Kevin, Burrage, Pamela M. and Carletti, Margherita (2007) Stochastic delay differential equations for genetic regulatory networks. Journal of Computational and Applied Mathematics, 205 2: 696-707. doi:10.1016/j.cam.2006.02.063 60   69 Cited 81 times in Scopus81 0
Burrage, Kevin, Burrage, Pamela, Leier, Andre and Marquez-Lago, Tatiana T. (2008). Stochastic delay models for molecular clocks and somite formation. In: Derek Abbott, Tomaso Aste, Murray Batchelor, Robert Dewar, Tiziana Di Matteo and Tony Guttmann, Complex Systems II. Complex Systems II, Canberra, ACT Australia, (). 5 - 7 December 2007. doi:10.1117/12.776148 13   Cited 0 times in Scopus0 0
Burrage, P. M. (2004). Vectorised simulations for stochastic differential equations. In: Crawford, J. and Roberts, A. J., ANZIAM Journal. 11th Biennial Computational Techniques and Applications Conference, Sydney, Australia, (C350-C363). 7 - 11 July 2003. 38