Desmond J. Higham

发表

DNA meets the SVD

Peter Grindrod, Desmond J. Higham, Gabriela Kalna, 2008 .

A Matrix Perturbation View of the Small World Phenomenon

Desmond J. Higham, 2007, SIAM Rev..

Chemical Master Equation and Langevin regimes for a gene transcription model

Desmond J. Higham, Raya Khanin, 2008, Theor. Comput. Sci..

Switching and Diffusion Models for Gene Regulation Networks

Desmond J. Higham, Somkid Intep, Xuerong Mao, 2009, Multiscale Model. Simul..

Survey and Review

Desmond J. Higham, 2014, SIAM Rev..

3. Distinctive Features of MATLAB

Nicholas J. Higham, Desmond J. Higham, 2005 .

17. Handle Graphics

Nicholas J. Higham, Desmond J. Higham, 2005 .

An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

Desmond J. Higham, D. Higham, 2001, SIAM Rev..

Trust Region Algorithms and Timestep Selection

Desmond J. Higham, D. Higham, 1999, SIAM J. Numer. Anal..

Mean Exit Times and the Multilevel Monte Carlo Method

Desmond J. Higham, Xuerong Mao, Mikolaj Roj, 2013, SIAM/ASA J. Uncertain. Quantification.

Evolving graphs: dynamical models, inverse problems and propagation

Peter Grindrod, Desmond J. Higham, D. Higham, 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Phase Space Error Control for Dynamical Systems

Desmond J. Higham, A. R. Humphries, R. J. Wain, 1999, SIAM J. Sci. Comput..

Network Science - Complexity in Nature and Technology

Desmond J. Higham, Maria Fox, Ernesto Estrada, 2010, Network Science.

Stochastic Differential Equations

Desmond J. Higham, David F. Griffiths, 2010 .

Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise

Yu Sun, Desmond J. Higham, David F. Anderson, 2014, SIAM J. Numer. Anal..

Multidimensional partitioning and bi-partitioning: analysis and application to gene expression data sets

Desmond J. Higham, Gabriela Kalna, J. Keith Vass, 2008, Int. J. Comput. Math..

Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations

Desmond J. Higham, Xuerong Mao, Chenggui Yuan, 2007, SIAM J. Numer. Anal..

MATLAB Guide, Third Edition

Nicholas J. Higham, Desmond J. Higham, Nicholas J. Higham, 2016 .

Opportunities at the Mathematics/Future Cities Interface pdf

Peter Grindrod, Desmond J. Higham, Robert S. MacKay, 2014, ArXiv.

Quantifying and modelling good communicators in dynamic phone networks

Alexander V. Mantzaris, Desmond J. Higham, 2011 .

Modelling the cAMP pathway using BioNessie, and the use of BVP techniques for solving ODEs

Desmond J. Higham, David R. Gilbert, Xu Gu, 2007, BMC Systems Biology.

Computational Complexity Analysis for Monte Carlo Approximations of Classically Scaled Population Processes

Desmond J. Higham, Yu Sun, David F. Anderson, 2015, Multiscale Model. Simul..

On Constrained Langevin Equations and (Bio)Chemical Reaction Networks

Desmond J. Higham, Saul de Castro Leite, Ruth J. Williams, 2019, Multiscale Model. Simul..

Survey and Review

Desmond J. Higham, 2015, SIAM Rev..

Node and Edge Eigenvector Centrality for Hypergraphs pdf

Desmond J. Higham, Francesco Tudisco, D. Higham, 2021, ArXiv.

Dynamic Communicability Predicts Infectiousness

Alexander V. Mantzaris, Desmond J. Higham, D. Higham, 2013 .

Modeling and Simulating Chemical Reactions

Desmond J. Higham, D. Higham, 2008, SIAM Rev..

A Theory for Backtrack-Downweighted Walks pdf

Desmond J. Higham, Vanni Noferini, Francesca Arrigo, 2020, SIAM J. Matrix Anal. Appl..

Exploring metabolic pathway disruption in the subchronic phencyclidine model of schizophrenia with the Generalized Singular Value Decomposition

Desmond J. Higham, David G. Watson, Xiaolin Xiao, 2011, BMC Systems Biology.

Survey and Review

Desmond J. Higham, 2012, SIAM Rev..

Linear Multistep Methods—I: Construction and Consistency

Desmond J. Higham, David F. Griffiths, D. Griffiths, 2010 .

Progression of oral carcinomas revealed by spectral reordering of a bipartite graph

Desmond J. Higham, Gabriela Kalna, J. Keith Vass, 2007, BMC Systems Biology.

6. Operators and Flow Control

Nicholas J. Higham, Desmond J. Higham, N. Higham, 2005 .

MAPLE and MATLAB for stochastic differential equations in finance

Desmond J. Higham, Peter E. Kloeden, P. Kloeden, 2002 .

Complex Networks: An Invitation

Desmond J. Higham, Maria Fox, Ernesto Estrada, 2010, Network Science.

Reliability of local error control algorithms for initial value ordinary differential equations

Desmond J. Higham, D. Higham, 1996, Quality of Numerical Software.

An introduction to multilevel Monte Carlo for option valuation

Desmond J. Higham, D. Higham, 2015, Int. J. Comput. Math..

Models for evolving networks: with applications in telecommunication and online activities

Peter Grindrod, Desmond J. Higham, D. Higham, 2012 .

Mean-Square and Asymptotic Stability of the Stochastic Theta Method

Desmond J. Higham, D. Higham, 2000, SIAM J. Numer. Anal..

Numerical methods for nonlinear stochastic differential equations with jumps

Desmond J. Higham, Peter E. Kloeden, P. Kloeden, 2005, Numerische Mathematik.

Survey and Review

Desmond J. Higham, 2014, SIAM Rev..

Delineation of functional subunits in the human cortex from diffusion based connectivity matrices

Desmond J. Higham, Stephen M. Smith, Heidi Johansen-Berg, 2004 .

A lock-and-key model for protein-protein interactions

Desmond J. Higham, David R. Gilbert, Rainer Breitling, 2006, Bioinform..

Non-backtracking PageRank

Desmond J. Higham, Vanni Noferini, Francesca Arrigo, 2019, J. Sci. Comput..

Centrality-Friendship Paradoxes: When Our Friends Are More Important Than Us pdf

Desmond J. Higham, D. Higham, 2018, J. Complex Networks.

Nine Ways to Implement the Binomial Method for Option Valuation in MATLAB

Desmond J. Higham, D. Higham, 2002, SIAM Rev..

A Matrix Iteration for Dynamic Network Summaries

Peter Grindrod, Desmond J. Higham, D. Higham, 2013, SIAM Rev..

A Nonlinear Spectral Method for Core-Periphery Detection in Networks pdf

Desmond J. Higham, Francesco Tudisco, D. Higham, 2018, SIAM J. Math. Data Sci..

Remark on algorithm 669

Desmond J. Higham, 1991, TOMS.

Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations

Andrew M. Stuart, Desmond J. Higham, Xuerong Mao, 2002, SIAM J. Numer. Anal..

Chemical Master Equation and Langevin regimes for a gene transcription model

Desmond J. Higham, Raya Khanin, D. Higham, 2007, Theor. Comput. Sci..

7. M-Files

Nicholas J. Higham, Desmond J. Higham, 2005 .

A framework for second-order eigenvector centralities and clustering coefficients

Desmond J. Higham, Francesco Tudisco, Francesca Arrigo, 2020, Proceedings of the Royal Society A.

Learning LaTeX, Second Edition

Desmond J. Higham, David F. Griffiths, 2016 .

Preserving Sparsity in Dynamic Network Computations

Desmond J. Higham, Francesca Arrigo, 2016, COMPLEX NETWORKS.

Survey and Review

Desmond J. Higham, 2012, SIAM Rev..

Mathematical and computational modelling of post-transcriptional gene regulation by microRNAs

Desmond J. Higham, Raya Khanin, D. Higham, 2009 .

Block Matrix Formulations for Evolving Networks

Desmond J. Higham, Caterina Fenu, D. Higham, 2015, SIAM J. Matrix Anal. Appl..

Dynamical Systems to Monitor Complex Networks in Continuous Time pdf

Peter Grindrod, Desmond J. Higham, 2013, ArXiv.

Non-backtracking walk centrality for directed networks

Peter Grindrod, Desmond J. Higham, Vanni Noferini, 2018, J. Complex Networks.

20. Optimizing M-Files

Nicholas J. Higham, Desmond J. Higham, 2005 .

A fast and robust kernel optimization method for core–periphery detection in directed and weighted graphs

Desmond J. Higham, Francesco Tudisco, D. Higham, 2019, Appl. Netw. Sci..

Mapping directed networks

Desmond J. Higham, Ernesto Estrada, Jonathan J. Crofts, 2010 .

Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics

Desmond J. Higham, David F. Anderson, David F. Anderson, 2011, Multiscale Model. Simul..

Googling the Brain: Discovering Hierarchical and Asymmetric Network Structures, with Applications in Neuroscience

Desmond J. Higham, Jonathan J. Crofts, D. Higham, 2011, Internet Math..

Demonstration of Dynamic Targeting in an Online Social Medium

Alexander V. Mantzaris, Desmond J. Higham, Peter Laflin, 2012, SocInfo.

Matlab guide

Nicholas J. Higham, Desmond J. Higham, N. Higham, 2000 .

On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems

Desmond J. Higham, Alexander N. Gorban, Ivan Y. Tyukin, 2020, 2020 International Joint Conference on Neural Networks (IJCNN).

A Survey of the Explicit Runge-Kutta Method

Desmond J. Higham, Philip W. Sharp, W. H. Enright, 1995 .

ANALYSIS OF THE SINGULAR VALUE DECOMPOSITION AS A TOOL FOR PROCESSING MICROARRAY EXPRESSION DATA

Desmond J. Higham, Gabriela Kalna, J. K. Vass, 2005 .

A Matrix Perturbation View of the Small World Phenomenon

Desmond J. Higham, 2003, SIAM J. Matrix Anal. Appl..

Complexity of Multilevel Monte Carlo Tau-Leaping

Desmond J. Higham, Yu Sun, David F. Anderson, 2014, SIAM J. Numer. Anal..

Survey and Review

Desmond J. Higham, 2013, SIAM Rev..

Survey and Review

Desmond J. Higham, 2012, SIAM Rev..

GeneRank: Using search engine technology for the analysis of microarray experiments

Desmond J. Higham, David R. Gilbert, Rainer Breitling, 2005, BMC Bioinformatics.

Runge-Kutta Solutions of a Hyperbolic Conservation Law with Source Term

Desmond J. Higham, David F. Griffiths, Mark A. Aves, 2000, SIAM J. Sci. Comput..

Discovering and validating influence in a dynamic online social network

Alexander V. Mantzaris, Peter Grindrod, Desmond J. Higham, 2013, Social Network Analysis and Mining.

Edinburgh Research Explorer Deep learning: an introduction for applied mathematicians pdf

Desmond J. Higham, Catherine F. Higham, D. Higham, 2022 .

Google PageRank as mean playing time for pinball on the reverse web

Desmond J. Higham, 2005, Appl. Math. Lett..

An overview of city analytics

Michael Batty, Peter Grindrod, Desmond J. Higham, 2017, Royal Society Open Science.

Structured Backward Error and Condition of Generalized Eigenvalue Problems

Nicholas J. Higham, Desmond J. Higham, N. Higham, 1999, SIAM J. Matrix Anal. Appl..

Survey and Review

Desmond J. Higham, 2013, SIAM Rev..

Survey and Review

Desmond J. Higham, 2015, SIAM Rev..

Dynamic Targeting in an Online Social Medium

Alexander V. Mantzaris, Peter Grindrod, Desmond J. Higham, 2012, SocInfo.

Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation

Desmond J. Higham, Graeme D. Chalmers, 2008, SIAM J. Sci. Comput..

Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations

Desmond J. Higham, Xuerong Mao, Chenggui Yuan, 2007, Numerische Mathematik.

Highly continuous Runge-Kutta interpolants

Desmond J. Higham, D. Higham, 1991, TOMS.

Identification of phenotypes in patient microarrays

Desmond J. Higham, Gabriela Kalna, J. Keith Vass, 2007, BMC Systems Biology.

The Deformed Graph Laplacian and Its Applications to Network Centrality Analysis

Peter Grindrod, Desmond J. Higham, Vanni Noferini, 2018, SIAM J. Matrix Anal. Appl..

Matlab guide (2. ed.)

Nicholas J. Higham, Desmond J. Higham, 2005 .

Hierarchical dynamic walks

Alexander V. Mantzaris, Peter Grindrod, Desmond J. Higham, 2016 .

Communicability and Bipartivity in Complex Networks at Negative Temperatures

Desmond J. Higham, Ernesto Estrada, Naomichi Hatano, 2008 .

11. Numerical Methods: Part I

Nicholas J. Higham, Desmond J. Higham, 2005 .

Runge-Kutta Defect Control Using Hermite-Birkhoff Interpolation

Desmond J. Higham, D. Higham, 1991, SIAM J. Sci. Comput..

Stepsize selection for tolerance proportionality in explicit Runge–Kutta codes

Desmond J. Higham, Manuel Calvo, Juan I. Montijano, 1997, Adv. Comput. Math..

Network Properties Revealed through Matrix Functions

Desmond J. Higham, Ernesto Estrada, Ernesto Estrada, 2010, SIAM Rev..

Survey and Review

Desmond J. Higham, 2015, SIAM Rev..

Bistability through Triadic Closure

Peter Grindrod, Desmond J. Higham, Mark C. Parsons, 2012, Internet Math..

Survey and Review

Desmond J. Higham, 2016, SIAM Rev..

Dynamic network centrality summarizes learning in the human brain

Mason A. Porter, Alexander V. Mantzaris, Desmond J. Higham, 2012, J. Complex Networks.

Parallel defect control

Desmond J. Higham, Wayne H. Enright, D. Higham, 1991 .

Collaboration Blooms from SIAM News Article

Peter Grindrod, Desmond J. Higham, Peter Laflin, 2012 .

Review of Duelling Idiots and Other Probability Puzzlers by P J Nahin, Princeton University Press

Desmond J. Higham, 2001 .

16. Further M-Files

Nicholas J. Higham, Desmond J. Higham, 2005 .

Centrality Analysis for Modified Lattices

Desmond J. Higham, Kerem Akartunali, Martin Paton, 2017, SIAM J. Matrix Anal. Appl..

Learning LaTeX (2. ed.)

Desmond J. Higham, David F. Griffiths, 2016 .

Survey and Review

Desmond J. Higham, 2013, SIAM Rev..

18. Other Data Types and Multidimensional Arrays

Nicholas J. Higham, Desmond J. Higham, 2005 .

Understanding dynamic interactions

Alexander V. Mantzaris, Desmond J. Higham, 2011 .

Survey and Review

Desmond J. Higham, 2013, SIAM Rev..

Survey and Review

Desmond J. Higham, 2012, SIAM Rev..

Computing mean first exit times for stochastic processes using multi-level Monte Carlo

Desmond J. Higham, Mikolaj Roj, D. Higham, 2012, Proceedings Title: Proceedings of the 2012 Winter Simulation Conference (WSC).

The Graph Whisperers

Peter Grindrod, Desmond J. Higham, Peter Laflin, 2016 .

Numerical Methods for Ordinary Differential Equations - Initial Value Problems

Desmond J. Higham, David F. Griffiths, D. Griffiths, 2010, Springer undergraduate mathematics series.

Sparse matrix computations for dynamic network centrality

Desmond J. Higham, Francesca Arrigo, D. Higham, 2017, Appl. Netw. Sci..

Twitter’s big hitters

Alexander V. Mantzaris, Peter Grindrod, Desmond J. Higham, 2012 .

Order Stars (A. Iserles and S. P. Nørsett)

Desmond J. Higham, 1992, SIAM Rev..

COMMUNICABILITY IN COMPLEX BRAIN NETWORKS

Desmond J. Higham, Jonathan J. Crofts, D. Higham, 2008, 0811.0769.

Backward Error and Condition of Structured Linear Systems

Nicholas J. Higham, Desmond J. Higham, N. Higham, 1992, SIAM J. Matrix Anal. Appl..

Geometric De-noising of Protein-Protein Interaction Networks

Desmond J. Higham, Natasa Przulj, Oleksii Kuchaiev, 2009, PLoS Comput. Biol..

Learning LaTeX

Desmond J. Higham, David F. Griffiths, D. Griffiths, 1997 .

Anticipating Activity in Social Media Spikes pdf

Alexander V. Mantzaris, Peter Grindrod, Desmond J. Higham, 2014, Proceedings of the International AAAI Conference on Web and Social Media.

Black-Scholes option valuation for scientific computing students

Desmond J. Higham, D. Higham, 2004 .

Accurate Computation of the Log-Sum-Exp and Softmax Functions pdf

Nicholas J. Higham, Desmond J. Higham, Pierre Blanchard, 2019, ArXiv.

Matching exponential-based and resolvent-based centrality measures

Nicholas J. Higham, Desmond J. Higham, Mary Aprahamian, 2016, J. Complex Networks.

Survey and Review

Desmond J. Higham, 2016, SIAM Rev..

CONTEST: A Controllable Test Matrix Toolbox for MATLAB

Desmond J. Higham, Alan Taylor, D. Higham, 2009, TOMS.

Survey and Review

Desmond J. Higham, 2016, SIAM Rev..

Survey and Review

Desmond J. Higham, 2015, SIAM Rev..

15. Sparse Matrices

Nicholas J. Higham, Desmond J. Higham, 2005 .

Survey and Review

Desmond J. Higham, 2014, SIAM Rev..

NESSIE: Network Example Source Supporting Innovative Experimentation

Desmond J. Higham, Alan Taylor, D. Higham, 2010, Network Science.

A clustering coefficient for weighted networks, with application to gene expression data

Desmond J. Higham, Gabriela Kalna, D. Higham, 2007, AI Commun..

Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff

Desmond J. Higham, Xuerong Mao, Michael B. Giles, 2009, Finance Stochastics.

Matlab guide, Second Edition

Nicholas J. Higham, Desmond J. Higham, N. Higham, 2005 .

High Modularity Creates Scaling Laws

Peter Grindrod, Desmond J. Higham, D. Higham, 2018, Scientific Reports.

Fitting a geometric graph to a protein-protein interaction network

Desmond J. Higham, Natasa Przulj, Marija Rasajski, 2008, Bioinform..

The Feasibility and Inevitability of Stealth Attacks pdf

Desmond J. Higham, Alexander N. Gorban, Ivan Y. Tyukin, 2021, ArXiv.

A Hierarchy of Network Models Giving Bistability Under Triadic Closure pdf

Desmond J. Higham, Konstantinos C. Zygalakis, Stefano Di Giovacchino, 2021, Multiscale Model. Simul..

Epidemics on hypergraphs: spectral thresholds for extinction

Desmond J. Higham, Henry-Louis de Kergorlay, 2021, Proceedings of the Royal Society A.

Dynamic Katz and Related Network Measures

Desmond J. Higham, Vanni Noferini, Francesca Arrigo, 2021, Linear Algebra and its Applications.

Random Matrices Generating Large Growth in LU Factorization with Pivoting

Nicholas J. Higham, Desmond J. Higham, Srikara Pranesh, 2021, SIAM J. Matrix Anal. Appl..

Testing a QUBO Formulation of Core-periphery Partitioning on a Quantum Annealer pdf

Desmond J. Higham, Catherine F. Higham, Francesco Tudisco, 2022, arXiv.org.

Directed network Laplacians and random graph models

Desmond J. Higham, Konstantinos Zygalakis, Xue Gong, 2021, Royal Society Open Science.

Node and edge nonlinear eigenvector centrality for hypergraphs

Desmond J. Higham, Francesco Tudisco, D. Higham, 2021, Communications Physics.

Mean Field Analysis of Hypergraph Contagion Models

Desmond J. Higham, Henry-Louis de Kergorlay, D. Higham, 2021, SIAM J. Appl. Math..

Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data pdf

Desmond J. Higham, David F. Gleich, Austin R. Benson, 2021, ArXiv.

Betweenness in time dependent networks

Desmond J. Higham, Ahmad Alsayed, D. Higham, 2015 .

Greedy pathlengths and small world graphs

Desmond J. Higham, D. Higham, 2006 .

Nonnormality and stochastic differential equations

Desmond J. Higham, Xuerong Mao, 2006 .

An Algorithmic Introduction to Numerical Simulation of

Desmond J. Higham, D. Higham, 2001 .

Chemical master versus chemical langevin for first-order reaction networks

Desmond J. Higham, D. Higham, R. Khanin, 2008 .

Infering and calibrating triadic closure in a dynamic network

Alexander V. Mantzaris, Desmond J. Higham, D. Higham, 2013 .

Analysis of the dynamics of local error control via a piecewise continuous residual

Desmond J. Higham, Andrew M. Stuart, A. Stuart, 1998 .

Random graph models and their application to protein-protein interaction networks

Desmond J. Higham, Natasa Przulj, D. Higham, 2011 .

Analysis of the Enright-Kamel Partitioning Method for Stiff Ordinary Differential Equations

Desmond J. Higham, D. Higham, 1989 .

First and second moment reversion for a discretized square root process with jumps

Desmond J. Higham, Graeme D. Chalmers, 2010 .

Unravelling small world networks

Desmond J. Higham, D. Higham, 2003 .

Numerical simulation of a linear stochastic oscillator with additive noise

Desmond J. Higham, D. Higham, Aslaug H. Strommen Melbo, 2004 .

The tolerance proportionality of adaptive ODE solvers

Desmond J. Higham, D. Higham, 1993 .

Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems

Desmond J. Higham, Peter E. Kloeden, P. Kloeden, 2007 .

Equilibrium states of adaptive algorithms for delay differential equations

Desmond J. Higham, Ioannis Th. Famelis, D. Higham, 1995 .

Global error versus tolerance for explicit Runge-Kutta methods

Desmond J. Higham, D. Higham, 1991 .

Nonnormality Effects in a Discretised Nonlinear Reaction-Convection-Diffusion Equation

Desmond J. Higham, Brynjulf Owren, D. Higham, 1996 .

A-STABILITY AND STOCHASTIC MEAN-SQUARE STABILITY

Desmond J. Higham, 2000 .

Global error estimation with adaptive explicit Runge-Kutta methods

Desmond J. Higham, Manuel Calvo, Luis Rández, 1996 .

Defect estimation in Adams PECE codes

Desmond J. Higham, 1989 .

Monotonic piecewise cubic interpolation, with applications to ODE plotting

Desmond J. Higham, 1992 .

Numerical Analysis 1997

Desmond J. Higham, G. A. Watson, David F. Griffiths, 1997 .

A model for dynamic communicators

Alexander V. Mantzaris, Desmond J. Higham, D. Higham, 2012, European Journal of Applied Mathematics.

Simultaneous Non-Negative Matrix Factorization for Multiple Large Scale Gene Expression Datasets in Toxicology

Desmond J. Higham, Gino Miele, D. Higham, 2012, PloS one.

Embedded Runge-Kutta formulae with stable equilibrium states

Desmond J. Higham, George Hall, 1990 .

Runge-Kutta type methods for orthogonal integration

Desmond J. Higham, D. Higham, 1996 .

Error analysis of QR algorithms for computing Lyapunov exponents

Desmond J. Higham, Edward J. Mcdonald, 2001 .

Analysis of stepsize selection schemes for Runge-Kutta codes

Desmond J. Higham, D. Higham, George Hall, 1988 .

Condition numbers and their condition numbers

Desmond J. Higham, D. Higham, 1995 .

Exponential mean square stability of numerical solutions to stochastic differential equations

Desmond J. Higham, Xuerong Mao, Andrew M. Stuart, 2003 .

Robust defect control with Runge-Kutta schemes

Desmond J. Higham, D. Higham, 1989 .

Asymmetry through time dependency

Alexander V. Mantzaris, Desmond J. Higham, D. Higham, 2016 .

The Sleekest Link Algorithm

Desmond J. Higham, D. Higham, Alan Taylor, 2003 .

Convergence and stability analysis for implicit simulations of stochastic differential equations with random jump magnitudes

Desmond J. Higham, Graeme D. Chalmers, D. Higham, 2007 .

Does Error Control Suppress Spuriosity

Desmond J. Higham, David F. Griffiths, Mark A. Aves, 1997 .

On the exponential generating function for non-backtracking walks

Peter Grindrod, Desmond J. Higham, Vanni Noferini, 2018, Linear Algebra and its Applications.

Long-Term Dynamics

Desmond J. Higham, D. Griffiths, D. Higham, 2010 .

On the Boundedness of Asymptotic Stability Regions for the Stochastic Theta Method

Desmond J. Higham, D. Higham, A. Bryden, 2003 .

Mean-square and Asymptotic Stability of Numerical Methods for Stochastic Ordinary Diierential Equations

Desmond J. Higham, 1998 .

Dynamics of constant and variable stepsize methods for a nonlinear population model with delay

Desmond J. Higham, D. Higham, T. Sardar, 1997 .

Runge-Kutta equilibrium theory for a mixed relative-absolute error measure

Desmond J. Higham, George Hall, 1992 .

An Introduction to Financial Option Valuation: Mathematics, Stochastics and Computation

Desmond J. Higham, 2004 .