**B7**-
*An Introduction to the Numerical Simulation of Stochastic Differential Equations*, D.J. Higham and P. E. Kloeden, to appear,**2020**. **B6**-
*MATLAB Guide*, D.J. Higham and N.J. Higham, Society for Industrial and Applied Mathematics, 3rd edition,**2017**. **B5**-
*Learning L*, D.F. Griffiths and D.J. Higham, Society for Industrial and Applied Mathematics, 2nd edition,^{A}T_{E}X**2016**. **B4**-
*Numerical Methods for Ordinary Differential Equations*, D. F. Griffiths and D. J. Higham, Springer,**2010**. **B3**-
*Network Science: Complexity in Nature and Technology*, Edited by E. Estrada, M. Fox, D. J. Higham and G.-L. Oppo, Springer,**2010**. **B2**-
*An Introduction to Financial Option Valuation: Mathematics, Stochastics and Computation*, D.J. Higham, Cambridge University Press,**2004**. **B1**-
*Numerical Analysis 1997: Proceedings of the 17th Biennial Conference on Numerical Analysis*, Edited by D.F. Griffiths, D.J. Higham and G.A. Watson, Pitman Research Notes in Mathematics, Longman Scientific and Technical,**1998**.

Most of these can be downloaded via

where X is the relevant number.

**P148**-
*Accurately computing the log-sum-exp and softmax functions,*P. Blanchard, D. J. Higham and N. J. Higham, The Institute of Mathematics and Its Applications (IMA) Journal of Numerical Analysis, to appear,**2020**. **P147**-
*A framework for second-order eigenvector centralities and clustering coefficients,*F. Arrigo, D. J. Higham and F. Tudisco, Proceedings of the Royal Society, Series A, to appear**2020**. **P146**-
*Beyond non-backtracking: Non-cycling network centrality measures,*F. Arrigo, D. J. Higham and V. Noferini, Proceedings of the Royal Society, Series A, to appear**2020**. **P145**-
*A network model for polarization of political opinion,*A. Mantzaris and D. J. Higham, Chaos, to appear**2020**. **P144**-
*Non-backtracking PageRank,*F. Arrigo, D. J. Higham and V. Noferini, J. Scientific Computing, 80,**2019**, 1419--437. **P143**-
*A fast and robust kernel optimization method for core-periphery detection in directed and weighted graphs,*Francesco Tudisco and Desmond J. Higham, Applied Network Science, 4,**2019**. **P142**-
*Non-backtracking alternating walks,*Francesco Arrigo, Desmond J. Higham and Vanni Noferini, SIAM J. Applied Mathematics, 79,**2019**, 781--801. **P141**-
*Deep learning: An introduction for applied mathematicians,*Catherine F. Higham and Desmond J. Higham, SIAM Review, 61,**2019**, 860--891. **P140**-
*A nonlinear spectral method for core--periphery detection in networks,*Francesco Tudisco and Desmond J. Higham, SIAM J. on Mathematics of Data Science (SIMODS), 2,**2019**, 269--292. **P139**-
*Centrality-friendship paradoxes: When our friends are more important than us,*Desmond J. Higham, Journal of Complex Networks, 7,**2019**, 515--528. **P138**-
*On constrained Langevin equations and (bio)chemical reaction networks,*David F. Anderson, Desmond J. Higham, Saul C. Leite and Ruth J. Williams, Multiscale Modeling and Simulation (SIAM), 17,**2019**, 1--30. **P137**-
*On the exponential generating function for non-backtracking walks,*F. Arrigo, P. Grindrod, D. J. Higham and V. Noferini, Linear Algebra and its Applications, 556,**2018**, 381--399. **P136**-
*Computational complexity analysis for Monte Carlo approximations of classically scaled population processes,*D. F. Anderson, D. J. Higham and Y. Sun, Multiscale Modeling and Simulation (SIAM), 16,**2018**, 1206--1226. **P135**-
*High modularity creates scaling laws,*P. Grindrod and D. J. Higham, Scientific Reports, 8,**2018**, 9737. **P134**-
*The deformed graph Laplacian and its applications to network centrality analysis,*P. Grindrod, D. J. Higham and V. Noferini, SIAM Journal on Matrix Analysis and Applications, 39,**2018**, 310--341. **P133**-
*Centrality analysis for modified lattices,*M. Paton, K. Akartunali and D. J. Higham, SIAM Journal on Matrix Analysis and Applications, 38,**2017**, 1055--1073. **P132**-
*Nonbacktracking walk centrality for directed networks,*F. Arrigo, P. Grindrod, D. J. Higham and V. Noferini, Journal of Complex Networks, 6,**2018**, 54--78. **P131**-
*Sparse matrix computations for dynamic network centrality,*F. Arrigo and D. J. Higham, Applied Network Science, 2,**2017**, 1--19. **P130**-
*An overview of city analytics,*D. J. Higham, M. Batty, L. M. A. Bettencourt, D. Vukadinovic Greetham and P. Grindrod, Royal Society Open Science, 4,**2017**, 161063. **P129**-
*Block matrix formulations for evolving networks,*C. Fenu and D. J. Higham, SIAM Journal on Matrix Analysis and Applications, 38,**2017**, 343--360. **P128**-
*Multilevel Monte Carlo for stochastic differential equations with small noise,*D. F. Anderson, D. J. Higham and Y. Sun, SIAM Journal on Numerical Analysis, 54,**2016**, 505--529. **P127**-
*Inverse network sampling to explore on-line brand allegiance,*P. Grindrod, D. J. Higham, P. Laflin, A. Otley, J. A. Ward, European Journal of Applied Mathematics (Special Issue on Networks), 27,**2016**, 958--970. **P126**-
*Asymmetry through time dependency,*A. V. Mantzaris and D. J. Higham, European Physics Journal B (Special issue on Temporal Networks), 89,**2016**. **P125**-
*Matching exponential-based and resolvent-based centrality measures,*M. Aprahamian, D. J. Higham and N. J. Higham, Journal of Complex Networks, 4,**2015**, 157--176. **P124**-
*An introduction to multilevel Monte Carlo for option valuation,*D. J. Higham, International Journal of Computer Mathematics (Special Issue on Computational Methods in Finance), 92,**2015**, 2347--2360. **P123**-
*Complexity of multilevel Monte Carlo tau-leaping,*D. F. Anderson, D. J. Higham and Y. Sun, SIAM Journal on Numerical Analysis, 52,**2015**, 3106--3127. **P122**-
*Betweenness in time dependent networks,*A. Alsayed and D. J. Higham, Chaos, Solitons and Fractals (Special Issue on Network Science), Volume 72,**2015**, 35--48. **P121**-
*A dynamical systems view of network centrality,*P. Grindrod and D. J. Higham, Proceedings of the Royal Society, Series A,**2014**, 20130835. **P120**-
*Subanaesthetic ketamine treatment promotes abnormal interactions between neural subsystems and alters the properties of functional brain networks,*N. Dawson, M. McDonald, D. J. Higham, B. Morris and J. Pratt, Neuropsychopharmacology, 39**2014**, 1786--1798. **P119**-
*Discovering and validating influence in a dynamic online social network,*P. Laflin, A. V. Mantzaris, P. Grindrod, F. Ainley, A. Otley and D. J. Higham, Social Network Analysis and Mining, 3,**2013**, 1311--1323. **P118**-
*Convergence, non-negativity and stability of a new Milstein scheme with applications to finance,*D. J. Higham, X. Mao and L. Szpruch, Discrete and Continuous Dynamical Systems B,**2013**, 2083--2100. **P117**-
*Mathematical modelling of polyamine metabolism in bloodstream-form Trypanosoma brucei: An application to drug target identification,*X. Gu, D. Reid, D. J. Higham and D. Gilbert, PLoS ONE, 8,**2013**, e53734. **P116**-
*Dynamic network centrality summarizes learning in the human brain,*A. V. Mantzaris, D. S. Bassett, N. F. Wymbs, E. Estrada, M. A. Porter, P. J. Mucha, S. T. Grafton and D. J. Higham, Journal of Complex Networks, 1,**2013**, 83--92. **P115**-
*Mean exit times and the multi-level Monte Carlo method,*D. J. Higham, X. Mao, M. Roj, Q. Song and G. Yin, Journal of Uncertainty Quantification (SIAM/ASA), 1,**2013**, 2--18. **P114**-
*Simultaneous non-negative matrix factorization for multiple large scale gene expression datasets in toxicology,*C. M. Lee, M. A. V. Mudaliar, D. R. Haggart, C. R. Wolf, G. Miele, J. K. Vass, D. J. Higham and D. Crowther, PLoS ONE, 7,**2013**, e48238. **P113**-
*Sustained NMDA receptor hypofunction induces compromised neural systems integration and schizophrenia-like alterations in functional brain networks,*N. Dawson, X. Xiao, D. J. Higham, B. Morris, J. Pratt, Cerebral Cortex,**2014**, 452--464. **P112**-
*A model for dynamic communicators*A. Mantzaris and D. J. Higham, European Journal of Applied Mathematics (Special Issue on Network Science), 23,**2012**, 659--668. **P111**-
*Bistability through triadic closure,*P. Grindrod, D. J. Higham and M. C. Parsons, Internet Mathematics, 8,**2012**, 402--423. **P110**-
*Spectral algorithms for heterogeneous biological networks,*M. McDonald, D. J. Higham and J. K. Vass, Briefings in Functional Genomics, 11,**2012**, 457--468. **P109**-
*A matrix iteration for dynamic network summaries,*P. Grindrod and D. J. Higham, SIAM Review, 55,**2013**, 118--128. **P108**-
*Multi-level Monte Carlo for continuous time Markov chains, with applications in biochemical kinetics,*D. F. Anderson and D. J. Higham, Multiscale Modeling and Simulation (SIAM), 10,**2012**, 146-179. **P107**-
*Googling the Brain: Discovering hierarchical and asymmetric network structures, with applications in neuroscience,*J. J. Crofts and D. J. Higham, Internet Mathematics (Special Issue on Biological Networks), 7,**2011**, 233-254. **P106**-
*Exploring metabolic pathway disruption in the subchronic phencyclidine model of schizophrenia with the Generalized Singular Value Decomposition,*X. Xiao, N. Dawson, L. MacIntyre, B. J. Morris, J. A. Pratt, D. G. Watson and D. J. Higham, BMC Systems Biology,**2011**, 5:72. **P105**-
*Discretization provides a conceptually simple tool to build expression networks,*J. K. Vass, D. J. Higham, M. A. V. Mudaliar, X. Mao, D. J. Crowther, PLoS ONE 6(4),**2011**, e18634. **P104**-
*Communicability across evolving networks,*P. Grindrod, D. J. Higham, M. C. Parsons and E. Estrada, Physical Review E, 83**2011**, 046120. **P103**-
*Hybrid simulation of autoregulation within transcription and translation*, D. J. Higham, S. Intep, X. Mao and L. Szpruch, BIT Numerical Mathematics, 51,**2011**, 177-196. **P102**-
*Models for evolving networks: with applications in telecommunication and online activities*, P. Grindrod and D. J. Higham, The Institute of Mathematics and Its Applications (IMA) Journal of Management Mathematics, 23,**2012**, 1-16. **P101**-
*Discovering bipartite substructure in directed networks*, A. J. Taylor, J. K. Vass and D. J. Higham, London Mathematical Society J. Comput. and Math., 14,**2011**, 72-86. **P100**-
*Stochastic ordinary differential equations in applied and computational mathematics*, D. J. Higham, The Institute of Mathematics and Its Applications (IMA) Journal of Applied Mathematics, special issue: "2020 visions of applied mathematics", 76,**2011**, 449-474. **P99**-
*Network analysis detects changes in the contralesional hemisphere following stroke*, J. J. Crofts, D. J. Higham, R. Bosnell, S. Jbabdi, P. M. Matthews, T. E. J. Behrens; H. Johansen-Berg, NeuroImage, 54,**2011**, 161-169. **P98**-
*Mapping directed networks*, J. J. Crofts, E. Estrada, D. J. Higham and A. Taylor, Electronic Transactions on Numerical Analysis, 37,**2010**, 337-350. **P97**-
*Numerical simulation of a strongly nonlinear Ait-Sahalia type interest rate model*, L. Szpruch, X. Mao, D. J. Higham and J. Pan, BIT Numerical Mathematics, 51,**2011**, 405-425. **P96**-
*Non-negative matrix factorisation for network reordering*, C. Lee, D. J. Higham, D. Crowther and J. K. Vass, Monografias de la Real Academia de Ciencias de Zaragoza, (special issue honouring Manuel Calvo on his 65th birthday), 33,**2010**, 39-53. **P95**-
*Network properties revealed through matrix functions*, E. Estrada and D. J. Higham, SIAM Review, 52,**2010**, 696-714. **P94**-
*Comparing hitting time behaviour of Markov jump processes and their diffusion approximations*, L. Szpruch and D. J. Higham, Multiscale Modeling and Simulation (SIAM), 8,**2010**, 605-621. **P93**-
*Periodic reordering*, P. Grindrod, D. J. Higham and G. Kalna, The Institute of Mathematics and Its Applications (IMA) Journal of Numerical Analysis (Special Issue in Honour of A. R. Mitchell), 30,**2010**, 195-207. **P92**-
*Evolving graphs: Dynamical models, inverse problems and propagation*, P. Grindrod and D. J. Higham, Proceedings of the Royal Society, Series A, 466,**2010**, 753-770. **P91**-
*Zero, one and two-switch models of gene regulation*, S. Intep and D. J. Higham, Discrete and Continuous Dynamical Systems, Series B, 14 (special issue in honour of Peter Kloeden),**2010**, 495-513. **P90**-
*Geometric de-noising of protein-protein interaction networks*, O. Kuchaiev, M. Rasajski, D. J. Higham and N. Przulj, PLoS Computational Biology, 5,**2009**, e1000454. **P89**-
*Switching and diffusion models for gene regulation networks*, S. Intep, D. J. Higham and X. Mao, Multiscale Modeling and Simulation (SIAM), 8,**2009**, 30-45. **P88**-
*First and second moment reversion for a discretised square root process with jumps*, G. D. Chalmers and D. J. Higham, J. Difference Equations and Applications, 16 (special issue in honour of Peter Kloeden),**2010**, 143-156. **P87**-
*A weighted communicability measure applied to complex brain networks*, J. J. Crofts and D. J. Higham, J. Royal Socety Interface, 33,**2009**, 411-414. **P86**-
*Communicability betweenness in complex networks*, E. Estrada, D. J. Higham and N. Hatano, Physica A. 388,**2009**, 764-774. **P85**-
*Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff*, M. Giles, D. J. Higham and X. Mao, Finance and Stochastics. 13,**2009**, 403-413. **P84**-
*Communicability and multipartite structures in complex networks at negative absolute temperatures*, E. Estrada, D. J. Higham and N. Hatano, Physical Review E, 78,**2008**, 026102. **P83**-
*CONTEST: A Controllable Test Matrix Toolbox for MATLAB*, A. Taylor and D. J. Higham, ACM Trans. Math. Software., 35,**2009**, 26:1-26:17. **P82**-
*Asymptotic stability of a jump-diffusion equation and its numerical approximation*, G. D. Chalmers and D. J. Higham, SIAM Journal on Scientific Computing, 31,**2008**, 1141-1155. **P81**-
*Chemical master equation and Langevin regimes for a gene transcription model*, R. Khanin and D. J. Higham, Theoretical Computer Science. 408,**2008**, 31-40. **P80**-
*Fitting a geometric graph to a protein-protein interaction network*, D. J. Higham, M. Rasajski and N. Przulj, Bioinformatics,**2008**. **P79**-
*Chemical master versus chemical Langevin for first-order reaction networks*, D. J. Higham and R. Khanin, The Open Applied Mathematics Journal, 2,**2008**, 59-79. **P78**-
*DNA meets the SVD*, P. Grindrod, D. J. Higham, G. Kalna, A. Spence, Z. Stoyanov and J. K. Vass, The Institute of Mathematics and Its Applications (IMA) Mathematics Today, 44,**2008**, 80-85. **P77**-
*A clustering coefficient for weighted networks, with application to gene expression data*, G. Kalna and D. J. Higham, AI Communications (The European Journal on Artificial Intelligence) special issue on*Network Analysis in Natural Sciences and Engineering*, 20,**2007**, 263-271. **P76**-
*Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations*, D. J. Higham, X. Mao and C. Yuan, Numerische Mathematik, 108,**2007**, 295-325. **P75**-
*Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes*, G. D. Chalmers and D. J. Higham, Discrete and Continuous Dynamical Systems B, 9,**2008**, 47-64. **P74**-
*Modeling and simulating chemical reactions*D. J. Higham, SIAM Review, Education Section, 50,**2008**, 347-368. **P73**-
*Comment on "Numerical methods for stochastic differential equations"*, K. Burrage, P. Burrage, D. J. Higham, P. E. Kloeden and E. Platen, Physical Review E, 74,**2006**, 068701. **P72**-
*Multidimensional partitioning and bi-partitioning: analysis and application to gene expression datasets*, G. Kalna, J. K. Vass and D. J. Higham, International Journal of Computer Mathematics, 85,**2008**, 475-485. **P71**-
*Spectral analysis of two-signed microarray expression data*, D. J. Higham, G. Kalna and J. K. Vass, IMA Mathematical Medicine and Biology, 24,**2007**, 131-148. **P70**-
*Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations*, D. J. Higham, X. Mao and C. Yuan, SIAM J. Numer. Anal., 45,**2007**, 592-609. **P69**-
*A matrix perturbation view of the small world phenomenon*, D. J. Higham, SIAM Review, 49,**2007**, 91-108, (chosen as a SIGEST article, based on [P49]). **P68**-
*Connectivity-based parcellation of human cortex using diffusion MRI: establishing reproducibility, validity and observer-independence in BA 44/45 and SMA/pre-SMA*, J. C. Klein, T. E. J. Behrens, M. D. Robson, C. E. Mackay, D. J. Higham, H. Johansen-Berg, NeuroImage, 34,**2007**, 204-211. **P67**-
*Modelling protein-protein interaction networks via a stickiness index*, N. Przulj and D. J. Higham, J. Royal Society Interface, 3,**2006**, 711-716. **P66**-
*Divergent routes to oral cancer*, K. D. Hunter, J. K. Thurlow, J. Fleming, P. J. H. Drake, J. K. Vass, G. Kalna, D. J. Higham, P. Herzyk, D. G. MacDonald, E. K. Parkinson, P. R. Harrison, Cancer Research, 66,**2006**, 7405-7413. **P65**-
*A lock-and-key model for protein-protein interactions*, J. L. Morrison, R. Breitling, D. J. Higham and D. R. Gilbert, Bioinformatics, 22,**2006**, 2012-2019. **P64**-
*Nonnormality and stochastic differential equations*, D. J. Higham and X. Mao, BIT Numerical Mathematics. 46, 525-532,**2006**. **P63**-
*Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems*, D. J. Higham and P. E. Kloeden, J. Computational and Applied Math. 205,**2007**, 949-956. **P62**-
*Greedy pathlengths and small world graphs*, D. J. Higham, Linear Algebra and Its Applications, 416,**2006**, 745-758. **P61**-
*Spectral clustering and its use in bioinformatics*, D. J. Higham, G. Kalna, and M. Kibble, J. Computational and Applied Math., 204,**2007**, 25-37. **P60**-
*Convergence and stability of implicit methods for jump-diffusion systems*, D. J. Higham and P. E. Kloeden, International Journal of Numerical Analysis & Modeling, 3,**2006**, 125-140. **P59**-
*GeneRank: Using search engine technology for the analysis of microarray experiments*, J. L. Morrison, R. Breitling, D. J. Higham and D. R. Gilbert, BMC Bioinformatics**2005**, 6:233. **P58**-
*Numerical methods for nonlinear stochastic differential equations with jumps*, D. J. Higham and P. E. Kloeden, Numerische Mathematik, 101,**2005**, 101-119. **P57**-
*Convergence of Monte Carlo simulations involving the mean-reverting square root process*, D. J. Higham and X. Mao, Journal of Computational Finance. 8,**2005**, 35-61. **P56**-
*Google PageRank as mean playing time for pinball on the reverse web*, D. J. Higham, Applied Mathematics Letters, 18,**2005**, 1359-1362. **P55**-
*Spectral reordering of a range-dependent weighted random graph*, D. J. Higham, The Institute of Mathematics and Its Applications (IMA) Journal of Numerical Analysis. 25,**2005**, 443-457. **P54**-
*Black-Scholes for scientific computing students*, D. J. Higham, Computing in Science and Engineering (Education Section), 6,**2004**, 72-79. **P53**-
*Changes in connectivity profiles define functionally-distinct regions in human medial frontal cortex*, H. Johansen-Berg, T. E. J. Behrens, M. D. Robson, I. Drobnjak, M. F. S. Rushworth, J. M. Brady, S. M. Smith, D. J. Higham and P. M. Matthews, Proceedings of the National Academy of Sciences (PNAS), vol. 101 (no. 26),**2004**, 13335-13340. **P52**-
*Numerical simulation of a linear stochastic oscillator with additive noise*, A. H. Strømmen Melbø and D. J. Higham, Applied Numerical Mathematics, 51,**2004**, 89-99. **P51**-
*The sleekest link algorithm*, D. J. Higham and A. Taylor, The Institute of Mathematics and Its Applications (IMA) Mathematics Today, 39,**2003**, 192-197. **P50**-
*Exponential mean square stability of numerical solutions to stochastic differential equations*, D. J. Higham, X. Mao and A. M. Stuart, London Mathematical Society J. Comput. and Math., 6,**2003**, 297-313. **P49**-
*A matrix perturbation view of the small world phenomenon*, D. J. Higham, SIAM Journal on Matrix Analysis and Applications, 25,**2003**, 429-444. **P48**-
*Unravelling small world networks*, D. J. Higham, J. Computational and Applied Math., 158,**2003**, 61-74. **P47**-
*On the boundedness of asymptotic stability regions for the stochastic theta method*, A. Bryden and D. J. Higham. BIT Numerical Mathematics, 43,**2003**, 1-7. **P46**-
*Nine ways to implement the binomial method for option valuation in MATLAB*, D. J. Higham. SIAM Review, Education Section, 44,**2002**, 661-677. **P45**-
*Ergodicity for SDEs and approximations: Locally Lipschitz vector fields and degenerate noise*, J. Mattingly, A. M. Stuart and D. J. Higham. Stochastic Processes and their Appl., 101,**2002**, 185-232. **P44**-
*Strong convergence of Euler-type methods for nonlinear stochastic differential equations*, D. J. Higham, X. Mao and A. M. Stuart. SIAM J. Num Anal., 40,**2002**, 1041-1063. **P43**-
*Error analysis of QR algorithms for computing Lyapunov exponents*, E. J. McDonald and D. J. Higham, Electronic Transactions on Numerical Analysis, 12,**2001**, 234-251. **P42**-
*An algorithmic introduction to numerical simulation of stochastic differential equations*, D. J. Higham, SIAM Review, Education Section, 43,**2001**, 525-546. **P41**-
*MacCormack's method for advection-reaction equations*, D. F. Griffiths and D. J. Higham, Journal of the Japan Society of Computational Fluid Dynamics, 9,**2000**. **P40**-
*Mean-square and asymptotic stability of numerical methods for stochastic ordinary differential equations*, D. J. Higham, SIAM J. Num Anal, 38,**2000**, 753-769. **P39**-
*Theta method dynamics*, G. J. Barclay, D. F. Griffiths and D. J. Higham, London Mathematical Society J. Comput. and Math., 3,**2000**, 27-43. **P38**-
*A-stability and stochastic mean-square stability*, D. J. Higham, BIT, 40,**2000**, 404-409. **P37**-
*Runge-Kutta solutions of a hyperbolic conservation law with source term*, M. A. Aves, D. F. Griffiths and D. J. Higham, SIAM Journal on Scientific Computing, 22,**2000**, 20-38. **P36**-
*The effect of quadrature on the dynamics of a discretised nonlinear integro-differential equation*, M. A. Aves, P. J. Davies and D. J. Higham, Applied Numerical Mathematics, 32,**2000**, 1-20. **P35**-
*Phase space error control for dynamical systems*, D. J. Higham, A. R. Humphries and R. J. Wain, SIAM Journal on Scientific Computing, 21,**2000**, 2275-2294. **P34**-
*Trust region algorithms and timestep selection*, D. J. Higham, SIAM Journal on Numerical Analysis, 37,**1999**, 194-210. **P33**-
*Qualitative properties of modified equations*, O. Gonzalez, A. M. Stuart and D. J. Higham, IMA Journal of Numerical Analysis, 19,**1999**, 169-190. **P32**-
*Structured backward error and condition of generalized eigenvalue problems*, D. J. Higham and N. J.Higham, SIAM Journal on Matrix Analysis and Applications, 20,**1998**, 493-512. **P31**-
*Analysis of the dynamics of local error control via a piecewise continuous residual*, D. J. Higham and A. M. Stuart, BIT, 38,**1998**, 44-57. **P30**-
*Regular Runge-Kutta pairs*, D. J. Higham, Applied Numerical Mathematics, 25,**1997**, 229-241. **P29**-
*Time-stepping and preserving orthonormality*, D. J. Higham, BIT, 37,**1997**, 24-36. **P28**-
*Does error control suppress spuriosity?*, M. A. Aves, D. F. Griffiths and D. J. Higham, SIAM Journal on Numerical Analysis, 34,**1997**, 756-778. **P27**-
*Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes*, M. C. Calvo, D. J. Higham, J. M. Montijano and L. Rández, Advances in Computational Mathematics, 7,**1997**, 361-382. **P26**-
*Dynamics of constant and variable stepsize methods for a nonlinear population model with delay*, D. J. Higham and T. Sardar, Applied Numerical Mathematics, 24,**1997**, 425-438. **P25**-
*Runge-Kutta type methods for orthogonal integration*, D. J. Higham, Applied Numerical Mathematics, 22,**1996**, 217-223. **P24**-
*Non-normality effects in a discretised, nonlinear, reaction-convection-diffusion equation*, D. J. Higham and B. Owren, Journal of Computational Physics, 124,**1996**, 309-323. **P23**-
*Global error estimation with adaptive explicit Runge-Kutta methods*, M. C. Calvo, D. J. Higham, J. M. Montijano and L. Rández, IMA Journal of Numerical Analysis, 16,**1996**, 47-63. **P22**-
*Existence and stability of fixed points for a discretised nonlinear reaction-diffusion equation with delay*, D. J. Higham and T. Sardar, Applied Numerical Mathematics, 18,**1995**, 155-173. **P21**-
*Equilibrium states of adaptive algorithms for delay differential equations*, D. J. Higham and I.Th. Famelis, Journal of Computational and Applied Mathematics, 58,**1995**, 151-169. **P20**-
*Condition numbers and their condition numbers*, D. J. Higham, Linear Algebra and Its Applications, 214,**1995**, 193-214. **P19**-
*Runge-Kutta stability on a Floquet problem*, D. J. Higham, BIT, 34,**1994**, 88-98. **P18**-
*Error control for initial value problems with discontinuities and delays*, D. J.Higham, Applied Numerical Mathematics, 12,**1993**, 315-330. **P17**-
*Stiffness of ODEs*, D. J. Higham and L. N. Trefethen, BIT, 33,**1993**, 285-303. **P16**-
*The tolerance proportionality of adaptive ODE solvers*, D. J. Higham, Journal of Computational and Applied Mathematics, 45,**1993**, 227-236. **P15**-
*Componentwise perturbation theory for linear systems with multiple right-hand sides*, D. J. Higham and N. J. Higham, Linear Algebra and Its Applications, 174,**1992**, 111-130. **P14**-
*The structured sensitivity of Vandermonde-like systems*, S. G. Bartels and D. J. Higham, Numerische Mathematik, 62,**1992**, 17-33. **P13**-
*Monotonic piecewise cubic interpolation, with applications to ODE plotting*, D. J. Higham, Journal of Computational and Applied Mathematics, 39,**1992**, 287-294. **P12**-
*Backward error and condition of structured linear systems*, D. J. Higham and N. J. Higham, SIAM Journal on Matrix Analysis and Applications, 13,**1992**, 162-175. **P11**-
*Parallel defect control*, W. H. Enright and D. J. Higham, BIT, 31,**1991**, 647-663. **P10**-
*Global error versus tolerance for explicit Runge-Kutta methods*, D. J. Higham, IMA Journal of Numerical Analysis, 11,**1991**, 457-480. **P9**-
Remark on Algorithm 669,
D. J. Higham,
ACM Transactions on Mathematical Software,
17,
**1991**, 424-426. **P8**-
*Runge-Kutta defect control using Hermite-Birkhoff interpolation*, D. J. Higham, SIAM Journal on Scientific and Statistical Computing, 12,**1991**, 991-999. **P7**-
*Highly continuous Runge-Kutta interpolants*, D. J. Higham, ACM Transactions on Mathematical Software, 17,**1991**, 368-386. **P6**-
*Embedded Runge-Kutta formulae with stable equilibrium states*, D. J. Higham and G. Hall, Journal of Computational and Applied Mathematics, 29,**1990**, 25-33. **P5**-
*Robust defect control with Runge-Kutta schemes*, D. J. Higham, SIAM Journal on Numerical Analysis, 26,**1989**, 1175-1183. **P4**-
*Defect estimation in Adams PECE codes*, D. J. Higham, SIAM Journal on Scientific and Statistical Computing, 10,**1989**, 964-976. **P3**-
*Large growth factors in Gaussian elimination with pivoting*, N. J. Higham and D. J. Higham, SIAM Journal on Matrix Analysis and Applications, 10,**1989**, 155-164. **P2**-
*Analysis of the Enright-Kamel partitioning method for stiff ODEs*, D. J. Higham, IMA Journal of Numerical Analysis, 9,**1989**, 1-14. **P1**-
*Analysis of stepsize selection schemes for Runge-Kutta codes*, G. Hall and D. J. Higham, IMA Journal of Numerical Analysis, 8,**1988**, 305-310.

**Bc7**-
*The Graph Whisperers*, P. Grindrod, D. J. Higham and P. Laflin, in*UK Success Stories in Industrial Mathematics*, edited by P. J. Aston, A. J. Mulholland and K. M. M. Tant, pp. 271--279, Springer,**2016**. **Bc6**-
*Dynamic Communicability Predicts Infectiousness*, A. V. Mantzaris and D. J. Higham, in*Temporal Networks*, edited by P. Holme and J. Saramaki, pp. 283--294, Springer,**2013**. **Bc5**-
*Infering and Calibrating Triadic Closure in a Dynamic Network*, A. V. Mantzaris and D. J. Higham, in*Temporal Networks*, edited by P. Holme and J. Saramaki, pp. 265--282, Springer,**2013**. **Bc4**-
*Is It Safe To Go Out Yet? Statistical Inference in a Zombie Outbreak Model*, B. Calderhead, M. Girolami and D. J. Higham, in*Mathematical Modelling of Zombies*, edited by R. Smith, University of Ottawa Press,**2014**, pp. 129--148. **Bc3**-
*Random Graph Models and Their Application to Protein-Protein Interaction Networks*, D. J. Higham and N. Przulj, Chapter 14, pages 290-308,*Handbook of Statistical Systems Biology,*edited by D. Balding, M. Girolami and M. Stumpf, Wiley.**2011**. **Bc2**-
*NESSIE: Network Example Source Supporting Innovative Experimentation*, A. Taylor and D. J. Higham, Chapter 5, pages 85-106, in*Network Science: Complexity in Nature and Technology*, Chapter 1, pages 1-11, edited by E. Estrada, M. Fox, D. J. Higham and G.-L. Oppo, Springer,**2010**. **Bc1**-
*MAPLE and MATLAB for Stochastic Differential Equations in Finance*, D. J. Higham and P. E. Kloeden, in*Programming Languages and Systems in Computational Economics and Finance*, Edited by S. Neilsen, Kluwer,**2002**, 233-270.

**C10**-
*Preserving sparsity in dynamic network computations*, F. Arrigo and D. J. Higham, in International Workshop on Complex Networks and their Applications,**2016**, Milan. **C9**-
*Dynamic targeting in an online social medium*, P. Laflin, A. V. Mantzaris, P. Grindrod, F. Ainley, A. Otley and D. J. Higham, in Social Informatics**2012**, Lausanne. **C8**-
*Demonstration of dynamic targeting in an online social medium*, P. Laflin, A. V. Mantzaris, P. Grindrod, F. Ainley, A. Otley and D. J. Higham, real time demonstration and demo paper in Social Informatics**2012**, Lausanne. **C7**-
*Computing mean first exit times for stochastic processes using multilevel Monte Carlo*, D. J. Higham and M. Roj, Proceedings of the 2012 Winter Simulation Conference, edited by C. Laroque, J. Himmelspach, R. Pasupathy, O. Rose and A. M. Uhrmacher,**2012**, Berlin. **C6**-
*Analysis of the singular value decomposition as a tool for processing microarray expression data*, D. J. Higham, G. Kalna and J. K. Vass, Proceedings of ALGORITMY 2005, Conference on Scientific Computing, Slovak University of Technology, 250-259, Slovakia,**2005**. **C5**-
*Reordering diffusion-based connectivity matrices to define anatomical networks of the human brain*, T. E. J. Behrens, H. Johansen-Berg, S. M. Smith, I. Drobnjak, J. M. Brady, P. M. Matthews and D. J. Higham, Proceedings of the International Society for Magnetic Resonance in Medicine 12th Scientific Meeting, Kyoto,**2004**. **C4**-
*Connectivity based anatomical parcellation of cortical grey matter*, H. Johansen-Berg, T. E. J. Behrens, I. Drobnjak, S. M. Smith, D. J. Higham and P. M. Matthews, Proceedings of the 10th International Conference for Functional Mapping of the Human Brain, Budapest,**2004**. **C3**-
*Runge-Kutta and MacCormack dynamics*, D. F. Griffiths and D. J. Higham, Proceedings of the 8th International Symposium on Computational Fluid Dynamics (CD ROM format), Bremen, Sep.**1999**. **C2**-
*The reliability of standard local error control algorithms for initial value ordinary differential equations*, D. J. Higham, Proceedings of the IFIP Conference on*The Quality of Numerical Software*, R.F. Boisvert, Ed.**1997**, 315-325, Chapman & Hall. **C1**-
*Runge-Kutta equilibrium theory for a mixed relative-absolute error measure*, D. J. Higham and G. Hall, Proceedings of the*1989 IMA Conference on Computational ODEs*, J.R. Cash and I. Gladwell, Eds**1992**, 73-85, Oxford University Press.

**I6**-
*Complex networks: An invitation*, by E. Estrada, M. Fox, D. J. Higham and G.-L. Oppo, in*Network Science: Complexity in Nature and Technology*, Chapter 1, pages 1-11, edited by E. Estrada, M. Fox, D. J. Higham and G.-L. Oppo, Springer,**2010**. **I5**-
*Mathematical and computational modeling of post-transcriptional gene regulation by microRNAs*, R Khanin and D. J. Higham, in*MicroRNA Profiling in Cancer: A Bioinformatics Perspective*, Chapter 10, pages 197-216, edited by Yuriy Gusev, World Scientific,**2009**. **I4**-
*Multidimensional partitioning and bi-partitioning: analysis and application to gene expression datasets*, D. J. Higham, G. Kalna and J. K. Vass, in*Proceedings of the International Conference on Computational and Mathematical Methods in Science and Engineering*, CMMSE 2006, Editors R. Criado, D. Estep, M. A. Pérez Garcia, J. Vigo-Aguiar, Madrid, pages 414-425,**2006**. Extended version appeared in International Journal of Computer Mathematics: see [P72] **I3**-
*Finite differences in a small world*, D.J. Higham, in the*Proceedings of the 20th Biennial Conference on Numerical Analysis, Dundee*, D.F. Griffiths and G.A. Watson, Eds,**2003**. **I2**-
*Fixed points and spurious modes of a nonlinear infinite-step map*, M. A. Aves, P. J. Davies and D. J. Higham, in*Numerical Analysis: A.R. Mitchell 75th Birthday Volume*, D.F. Griffiths and G.A. Watson, Eds**1996**, 21-38, World Scientific. **I1**-
*The dynamics of a discretised nonlinear delay differential equation*, D. J. Higham, in the*Proceedings of the 15th Biennial Conference on Numerical Analysis, Dundee*, G.A. Watson and D.F. Griffiths, Eds**1993**, Pitman Research Notes in Mathematics, Volume 303, pages 167-179, Longman Scientific and Technical.