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 Browse by Research Fields, Courses and Disciplines The Research Fields, Courses and Disciplines (Australian Standard Research Classification) is published by the Australian Bureau of Statistics (ABS catalogue number 1297.0) 1998. ABS data is used with permission from the Australian Bureau of Statistics -> 230000 Mathematical Sciences -> 230100 Mathematics -> 230116 Numerical Analysis :

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Clark, Francis (2003). A computational study of gene structure and splicing in model eukaryote organisms PhD Thesis, School of Physical Sciences, The University of Queensland. 360 2
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 67   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.2004.01.027 142   14 Cited 14 times in Scopus14 0
Richardson, A. J., Silulwane, N. F., Mitchell-Innes, B. A. and Shillington, F. A. (2003) A dynamic quantitative approach for predicting the shape of phytoplankton profiles in the ocean. Progress In Oceanography, 59 2-3: 301-319. doi:10.1016/j.pocean.2003.07.003 119   8 Cited 10 times in Scopus10 0
Alcock, J and Burrage, K (2004) A genetic estimation algorithm for parameters of stochastic ordinary differential equations. Computational Statistics & Data Analysis, 47 2: 255-275. doi:10.1016/j.csda.2003.11.025 139   8 Cited 9 times in Scopus9 0
Xu, Zhao, Dong, Zhao Yang and Wong, Kit Po (2006) A hybrid planning method for transmission networks in a deregulated environment. IEEE Transactions on Power Systems, 21 2: 925-932. doi:10.1109/TPWRS.2006.873134 168 271 16 Cited 29 times in Scopus29 0
Moresi, Louis N., Dufour, Frederic and Muhlhaus, Hans (2003) A Lagrangian Integration Point Finite Element Method for Large Deformation Modeling of Viscoelastic Geomaterials. Journal Of Computational Physics, 184 2: 476-497. doi:10.1016/S0021-9991(02)00031-1 1274 3181 139 Cited 143 times in Scopus143 0
Jonathan M. Keith, Peter Adams, Darryn Bryant, Duncan A. E. Cochran, Gita H. Lala and Keith R. Mitchelson (2004) Algorithms for sequence analysis via mutagenesis. Bioinformatics, 20 15: 2401-2410. doi:10.1093/bioinformatics/bth258 75   8 Cited 7 times in Scopus7 0
Frankcombe, Terry J., Smith, Sean C., Gates, Kevin E. and Robertson, Struan H. (2000) A master equation model for bimolecular reaction via multi-well isomerization intermediates. Physical chemistry chemical physics, 2 4: 793-803. doi:10.1039/a908180a 156   23 Cited 21 times in Scopus21 0
Belytschko, T, Daniel, WJT and Ventura, G (2002) A monolithic smoothing-gap algorithm for contact-impact based on the signed distance function. International Journal For Numerical Methods In Engineering, 55 1: 101-125. doi:10.1002/nme.568 115   28 Cited 34 times in Scopus34 0
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 73   62 Cited 71 times in Scopus71 0
Walsh, Ashley Michael. (1999). Analysis and design of process dynamics using spectral methods PhD Thesis, School of Engineering, The University of Queensland. 113 1
Nguyen, H. S., Sidje, R. B. and Cong, N. H. (2006) Analysis of trigonometric implicit Runge-Kutta methods. Journal of Computational and Applied Mathematics, 198 1: 187-207. doi:10.1016/j.cam.2005.12.006 89   6 Cited 11 times in Scopus11 0
Sidje, R. B., Burrage, K. and Philippe, B. (2003) An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix. Computational Science - ICCS 2003, LNCS 2659 693-704. 112   1 Cited 1 times in Scopus1
Honeychurch, Michael and Bernhardt, Paul (2006) An Efficient Numerical Method for Simulating Electrochemically Driven Enzymatic Reactions. 211 612
Zhang, D. and Whiten, W. J. (1999) A new calculation method for particle motion in tangential direction in discrete element simulations. Powder Technology, 102 3: 235-243. doi:10.1016/S0032-5910(98)00209-5 135   11 Cited 15 times in Scopus15 0
Williams, R., Cameron, I. T. and Burrage, K. (2000) A new index 2 Runga-Kutta method for the simulation of batch and discontinuous processes. Computers and Chemical Engineering, 24 2-7: 625-630. doi:10.1016/S0098-1354(00)00349-5 71   1 Cited 1 times in Scopus1 0
Alcock, Jamie and Burrage, Kevin (2006) A note on the Balanced method. Bit Numerical Mathematics, 46 4: 689-710. doi:10.1007/s10543-006-0098-4 114   25 Cited 24 times in Scopus24 0
Burrage, K. and Tian, T. (2000) A note on the stability properties of the Euler methods for solving stochastic differential equations. New Zealand Journal of Mathematics, 29 115-127. 77  
Christen, P., Atlas, I., Hegland, M., Roberts, S., Burrage, K. and Sidje, R. B. (1999). A parallel finite element surface fitting algorithm for data mining. In: E. H. D'Hollander, G. R. Joubert, F. J. Peters and H. J. Sips, Proceedings of the International Conference ParCo00; Parallel Computing, Fundamentals & Applications. Proceedings of the International Conference ParCo00, Delft Netherlands, (275-282). 17-20 August 1999. 53  
Hooman, Kamel (2008) A perturbation solution for forced convection in a porous saturated duct. Journal of Computational and Applied Mathematics, 211 1: 57-66. doi:10.1016/j.cam.2006.11.005 243 596 24 Cited 29 times in Scopus29 0
Dong, Zhao Yang, Hill, David J. and Guo, Yi (2005) A power system control scheme based on security visualisation in parameter space. International Journal of Electrical Power & Energy Systems, 27 7: 488-495. doi:10.1016/j.ijepes.2005.05.002 205 795 8 Cited 12 times in Scopus12 0
Zelniker, Emanuel and Clarkson, Ian Vaughan L. (2004). Approximate Maximum-Likelihood Estimation Of Circle Parameters Using A Phase-Coded Kernel. In: F. Hlawatsch and G. Matz, Proceedings of the Seventh European Signal Processing Conference. The Seventh European Signal Processing Conference, Vienna, Austria, (617-620). 6-10 September, 2004. 577 991
Zelniker, Emanuel and Clarkson, Vaughan (2003). A Statistical Analysis Of Least-Squares Circle-Centre Estimation. In: A. Zoubir, Proceedings of the 2003 International Symposium on Signal Processing and Information Technology. The 2003 International Symposium on Signal Processing and Information Technology, Darmstadt, Germany, (). 14-17 December, 2003. 834 1900
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 202   28 Cited 25 times in Scopus25 0
Tian, TH and Burrage, K (2004) Binomial leap methods for simulating stochastic chemical kinetics. Journal of Chemical Physics, 121 21: 10356-10364. doi:10.1063/1.1810475 123   158 Cited 171 times in Scopus171 0
Daniel, W. J. T. (2002). Combined stiffness and damping control of hourglass motion. In: Proceedings of Fifth World Congress on Computational Mechanics. Fifth World Congress on Computational Mechanics, Vienna, Austria, (1-10). 7-12 July, 2002. 111  
Ma, Jian, Dong, Zhao Yang and Zhang, Pei (2006) Comparison of BR and QR Eigenvalue Algorithms for Power System Small Signal Stability Analysis. IEEE Transactions on Power Systems, 21 4: 1848-1855. doi:10.1109/TPWRS.2006.883685 279   8 Cited 17 times in Scopus17 0
Roberts, AP and Garboczi, EJ (2002) Computation of the linear elastic properties of random porous materials with a wide variety of microstructure. Proceedings of The Royal Society of London Series A-mathematical Physical And Engineering Sciences, 458 2021: 1033-1054. doi:10.1098/rspa.2001.0900 58   70 Cited 81 times in Scopus81 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. 90  
Wang, D. and Hanson, G. R. (2001). Computer simulation of magnetic resonance spectra. 6,236,202. 51  
Hanson, G. R., Noble, C. J., Gates, K. E. and Burrage, K. (1999). Computer simulation of pulsed electron paramagnetic resonance spectra for a generalised spin hamiltonian and arbitrary pulse sequence. In: 2nd Asia-Pacific EPR/ESR Symposium Proceedings. 2nd Asia-Pacific EPR/ESR Symposium Proceedings, Hangzhou, China, (171). 31 Oct - 4 Nov, 1999. 39  
Burrage, K. and Tian, T. (2004). Effective simulation techniques for biological systems. In: D. Abbott, S.M. Bezrukov, A. Der and A. Sanchez, Fluctuations and noise in biological, biophysical, and biomedical systems II (Proceedings of SPIE). Fluctuations and Noise in Biological, Biophysical, and Biomedical Systems II, Maspalomas, Gran Canaria, Spain, (311-325). 26-28 May 2004. doi:10.1117/12.548672 68   0 0
Macrossan, Michael N. (2000) FCT Filter: Using The Diffusion And Anti-Diffusion Equations As A Filter. Report No. 2000/12, Department of Mechanical Engineering, School of Engineering, The University of Queensland. 505 428
Hunt, Lynette A. and Basford, Kaye E. (1999) Fitting a mixture model to three-mode three-way data with categorical and continuous variables. Journal of Classification, 16 2: 283-296. doi:10.1007/s003579900057 58   12 0
Renton, Michael (2004). Function, form and frangipanis : modelling the patterns of plant growth PhD Thesis, School of Physical Sciences, The University of Queensland. 204 6
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)00097-4 264   19 0
Thanaraj, TA and Clark, F (2001) Human GC-AG alternative intron isoforms with weak donor sites show enhanced consensus at acceptor exon positions. Nucleic Acids Research, 29 12: 2581-2593. doi:10.1093/nar/29.12.2581 64   90 0
Sadkane, Miloud and Sidje, Roger B. (1999) Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. Numerical Algorithms, 20 2-3: 217-240. doi:10.1023/A:1019199700323 61   7 0
Tian, T. (2001). Implicit numerical methods for stiff stochastic differential equations and numerical simulations of stochastic models PhD Thesis, School of Physical Sciences, The University of Queensland. 300  
Tian, Tianhai and Burrage, Kevin (2001) Implicit Taylor methods for stiff stochastic differential equations. Applied Numerical Mathematics, 38 1-2: 167-185. doi:10.1016/S0168-9274(01)00034-4 174   35 Cited 37 times in Scopus37 0
Chabrowski, J. and Willem, M. (2002) Least energy solutions of a critical Neumann problem with a weight. Calculus of Variations and Partial Differential Equations, 15 4: 421-431. doi:10.1007/s00526-002-0101-0 78   21 Cited 21 times in Scopus21 0
Zelniker, Emanuel E. and Clarkson, I. Vaughan L. (2003). Maximum-Likelihood Circle-Parameter Estimation via Convolution. In: C. Sun, H. Talbot, S. Ourselin and T. Adriaansen, Proceedings of the 7th Biennial Australian Pattern Recognition Society Conference - Digital Image Computing: Techniques and Applications. The Seventh Biennial Australian Pattern Recognition Society Conference, Sydney, Australia, (509-518). 10-12 December, 2003. 581 518
Alehossein, H and Korinets, A (2000) Mesh-independent finite difference analysis using gradient-dependent plasticity. Communications in Numerical Methods in Engineering, 16 5: 363-375. doi:10.1002/(SICI)1099-0887(200005)16:5<363::AID-CNM344>3.0.CO;2-W 63   2 Cited 2 times in Scopus2 0
Kerr, M. (2001). Multivalue methods for solving differential algebraic problems of index 1, 2 and 3 PhD Thesis, School of Physical Sciences, The University of Queensland. 85  
Ma, R. and Thompson, B. (2004) Nodal solutions for nonlinear eigenvalue problems. Nonlinear Analysis, 59 5: 707-718. doi:10.1016/j.na.2004.07.030 73 2 40 Cited 46 times in Scopus46 0
Burrage, K. (1999) Numerical analysis of systems of ordinary and stochastic differential equations. (Book Review). Siam Review, 41 4: 828-829. 47  
Alcock, J. (2005) Numerical methods for quantitative finance. Bulletin of The Australian Mathematical Society, 72 1: 173-176. 95   0 Cited 0 times in Scopus0
Herdiana, Ratna (2003). Numerical methods for SDEs - with variable stepsize implementation PhD Thesis, School of Physical Sciences, The University of Queensland. 106 4
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. 210  

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