Desmond J. Higham

According to our database1, Desmond J. Higham authored at least 90 papers between 1991 and 2021.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.



In proceedings 
PhD thesis 


Online presence:



Random Matrices Generating Large Growth in LU Factorization with Pivoting.
SIAM J. Matrix Anal. Appl., 2021

Directed Network Laplacians and Random Graph Models.
CoRR, 2021

The Feasibility and Inevitability of Stealth Attacks.
CoRR, 2021

Epidemics on Hypergraphs: Spectral Thresholds for Extinction.
CoRR, 2021

Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data.
CoRR, 2021

Node and Edge Eigenvector Centrality for Hypergraphs.
CoRR, 2021

A Theory for Backtrack-Downweighted Walks.
CoRR, 2020

A Personal Perspective on Numerical Analysis and Optimization.
CoRR, 2020

Consistency of Anchor-based Spectral Clustering.
CoRR, 2020

On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems.
Proceedings of the 2020 International Joint Conference on Neural Networks, 2020

A Nonlinear Spectral Method for Core-Periphery Detection in Networks.
SIAM J. Math. Data Sci., 2019

Deep Learning: An Introduction for Applied Mathematicians.
SIAM Rev., 2019

Non-Backtracking Alternating Walks.
SIAM J. Appl. Math., 2019

On Constrained Langevin Equations and (Bio)Chemical Reaction Networks.
Multiscale Model. Simul., 2019

Non-backtracking PageRank.
J. Sci. Comput., 2019

A framework for second order eigenvector centralities and clustering coefficients.
CoRR, 2019

Accurate Computation of the Log-Sum-Exp and Softmax Functions.
CoRR, 2019

Centrality-friendship paradoxes: when our friends are more important than us.
J. Complex Networks, 2019

The Deformed Graph Laplacian and Its Applications to Network Centrality Analysis.
SIAM J. Matrix Anal. Appl., 2018

Computational Complexity Analysis for Monte Carlo Approximations of Classically Scaled Population Processes.
Multiscale Model. Simul., 2018

Non-backtracking walk centrality for directed networks.
J. Complex Networks, 2018

Centrality Analysis for Modified Lattices.
SIAM J. Matrix Anal. Appl., 2017

Block Matrix Formulations for Evolving Networks.
SIAM J. Matrix Anal. Appl., 2017

Sparse matrix computations for dynamic network centrality.
Appl. Netw. Sci., 2017

Survey and Review.
SIAM Rev., 2016

Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise.
SIAM J. Numer. Anal., 2016

Matching exponential-based and resolvent-based centrality measures.
J. Complex Networks, 2016

Commentary on Dehmer and Mowshowitz.
Complex., 2016

Preserving Sparsity in Dynamic Network Computations.
Proceedings of the Complex Networks & Their Applications V - Proceedings of the 5th International Workshop on Complex Networks and their Applications (COMPLEX NETWORKS 2016), Milan, Italy, November 30, 2016

Learning LaTeX (2. ed.).
SIAM, ISBN: 978-1-611-97441-6, 2016

An introduction to multilevel Monte Carlo for option valuation.
Int. J. Comput. Math., 2015

Complexity of Multilevel Monte Carlo Tau-Leaping.
SIAM J. Numer. Anal., 2014

Anticipating Activity in Social Media Spikes.
CoRR, 2014

Opportunities at the Mathematics/Future Cities Interface.
CoRR, 2014

Discovering and validating influence in a dynamic online social network.
Soc. Netw. Anal. Min., 2013

A Matrix Iteration for Dynamic Network Summaries.
SIAM Rev., 2013

Mean Exit Times and the Multilevel Monte Carlo Method.
SIAM/ASA J. Uncertain. Quantification, 2013

Dynamical Systems to Monitor Complex Networks in Continuous Time.
CoRR, 2013

Dynamic network centrality summarizes learning in the human brain.
J. Complex Networks, 2013

Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics.
Multiscale Model. Simul., 2012

Bistability through Triadic Closure.
Internet Math., 2012

Computing mean first exit times for stochastic processes using multi-level Monte Carlo.
Proceedings of the Winter Simulation Conference, 2012

Dynamic Targeting in an Online Social Medium.
Proceedings of the Social Informatics, 2012

Demonstration of Dynamic Targeting in an Online Social Medium.
Proceedings of the Social Informatics, 2012

Network analysis detects changes in the contralesional hemisphere following stroke.
NeuroImage, 2011

Googling the Brain: Discovering Hierarchical and Asymmetric Network Structures, with Applications in Neuroscience.
Internet Math., 2011

Exploring metabolic pathway disruption in the subchronic phencyclidine model of schizophrenia with the Generalized Singular Value Decomposition.
BMC Syst. Biol., 2011

Network Properties Revealed through Matrix Functions.
SIAM Rev., 2010

NESSIE: Network Example Source Supporting Innovative Experimentation.
Proceedings of the Network Science - Complexity in Nature and Technology., 2010

Complex Networks: An Invitation.
Proceedings of the Network Science - Complexity in Nature and Technology., 2010

Numerical Methods for Ordinary Differential Equations - Initial Value Problems.
Springer undergraduate mathematics series, Springer, ISBN: 978-0-85729-147-9, 2010

CONTEST: A Controllable Test Matrix Toolbox for MATLAB.
ACM Trans. Math. Softw., 2009

Geometric De-noising of Protein-Protein Interaction Networks.
PLoS Comput. Biol., 2009

Comparing Hitting Time Behavior of Markov Jump Processes and Their Diffusion Approximations.
Multiscale Model. Simul., 2009

Switching and Diffusion Models for Gene Regulation Networks.
Multiscale Model. Simul., 2009

Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff.
Finance Stochastics, 2009

Chemical Master Equation and Langevin regimes for a gene transcription model.
Theor. Comput. Sci., 2008

Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation.
SIAM J. Sci. Comput., 2008

Modeling and Simulating Chemical Reactions.
SIAM Rev., 2008

Multidimensional partitioning and bi-partitioning: analysis and application to gene expression data sets.
Int. J. Comput. Math., 2008

Fitting a geometric graph to a protein-protein interaction network.
Bioinform., 2008

A Matrix Perturbation View of the Small World Phenomenon.
SIAM Rev., 2007

Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations.
SIAM J. Numer. Anal., 2007

Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations.
Numerische Mathematik, 2007

Connectivity-based parcellation of human cortex using diffusion MRI: Establishing reproducibility, validity and observer independence in BA 44/45 and SMA/pre-SMA.
NeuroImage, 2007

Identification of phenotypes in patient microarrays.
BMC Syst. Biol., 2007

Progression of oral carcinomas revealed by spectral reordering of a bipartite graph.
BMC Syst. Biol., 2007

Modelling the cAMP pathway using BioNessie, and the use of BVP techniques for solving ODEs.
BMC Syst. Biol., 2007

A clustering coefficient for weighted networks, with application to gene expression data.
AI Commun., 2007

A lock-and-key model for protein-protein interactions.
Bioinform., 2006

Numerical methods for nonlinear stochastic differential equations with jumps.
Numerische Mathematik, 2005

GeneRank: Using search engine technology for the analysis of microarray experiments.
BMC Bioinform., 2005

Google PageRank as mean playing time for pinball on the reverse web.
Appl. Math. Lett., 2005

Matlab guide, Second Edition.
SIAM, ISBN: 978-0-89871-578-1, 2005

Nine Ways to Implement the Binomial Method for Option Valuation in MATLAB.
SIAM Rev., 2002

Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations.
SIAM J. Numer. Anal., 2002

An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations.
SIAM Rev., 2001

Phase Space Error Control for Dynamical Systems.
SIAM J. Sci. Comput., 2000

Runge-Kutta Solutions of a Hyperbolic Conservation Law with Source Term.
SIAM J. Sci. Comput., 2000

Mean-Square and Asymptotic Stability of the Stochastic Theta Method.
SIAM J. Numer. Anal., 2000

Matlab guide.
SIAM, ISBN: 978-0-89871-469-2, 2000

Trust Region Algorithms and Timestep Selection.
SIAM J. Numer. Anal., 1999

Structured Backward Error and Condition of Generalized Eigenvalue Problems.
SIAM J. Matrix Anal. Appl., 1998

Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes.
Adv. Comput. Math., 1997

Reliability of local error control algorithms for initial value ordinary differential equations.
Proceedings of the Quality of Numerical Software, 1996

Order Stars (A. Iserles and S. P. Nørsett).
SIAM Rev., 1992

Backward Error and Condition of Structured Linear Systems.
SIAM J. Matrix Anal. Appl., 1992

Remark on algorithm 669.
ACM Trans. Math. Softw., 1991

Highly continuous Runge-Kutta interpolants.
ACM Trans. Math. Softw., 1991

Runge-Kutta Defect Control Using Hermite-Birkhoff Interpolation.
SIAM J. Sci. Comput., 1991