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Desmond J. Higham
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- affiliation: University of Edinburgh, UK
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2020 – today
- 2024
- [j98]Oliver J. Sutton, Qinghua Zhou, Ivan Yu. Tyukin, Alexander N. Gorban, Alexander Bastounis, Desmond J. Higham:
How adversarial attacks can disrupt seemingly stable accurate classifiers. Neural Networks 180: 106711 (2024) - [j97]Francesca Arrigo, Desmond J. Higham, Vanni Noferini, Ryan Wood:
Weighted Enumeration of Nonbacktracking Walks on Weighted Graphs. SIAM J. Matrix Anal. Appl. 45(1): 397-418 (2024) - [j96]Alix Leroy, Benedict J. Leimkuhler, Jonas Latz, Desmond J. Higham:
Adaptive Stepsize Algorithms for Langevin Dynamics. SIAM J. Sci. Comput. 46(6): 3574- (2024) - [i36]Xue Gong, Desmond J. Higham, Konstantinos Zygalakis, Ginestra Bianconi:
Higher-order Connection Laplacians for Directed Simplicial Complexes. CoRR abs/2402.07631 (2024) - [i35]Alix Leroy, Benedict J. Leimkuhler, Jonas Latz, Desmond J. Higham:
Adaptive stepsize algorithms for Langevin dynamics. CoRR abs/2403.11993 (2024) - [i34]Oliver J. Sutton, Qinghua Zhou, Wei Wang, Desmond J. Higham, Alexander N. Gorban, Alexander Bastounis, Ivan Yu. Tyukin:
Stealth edits for provably fixing or attacking large language models. CoRR abs/2406.12670 (2024) - [i33]Lucas Beerens, Catherine F. Higham, Desmond J. Higham:
Deceptive Diffusion: Generating Synthetic Adversarial Examples. CoRR abs/2406.19807 (2024) - 2023
- [j95]Henry-Louis de Kergorlay, Desmond J. Higham:
Connectivity of Random Geometric Hypergraphs. Entropy 25(11): 1555 (2023) - [j94]Francesco Tudisco, Desmond J. Higham:
Core-Periphery Detection in Hypergraphs. SIAM J. Math. Data Sci. 5(1): 1-21 (2023) - [c10]Alexander Bastounis, Alexander N. Gorban, Anders C. Hansen, Desmond J. Higham, Danil V. Prokhorov, Oliver J. Sutton, Ivan Yu. Tyukin, Qinghua Zhou:
The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning. ICANN (1) 2023: 530-541 - [c9]Lucas Beerens, Desmond J. Higham:
Componentwise Adversarial Attacks. ICANN (1) 2023: 542-545 - [i32]Lucas Beerens, Desmond J. Higham:
Adversarial Ink: Componentwise Backward Error Attacks on Deep Learning. CoRR abs/2306.02918 (2023) - [i31]Peter Grindrod, Desmond John Higham, Henry-Louis de Kergorlay:
Estimating Network Dimension When the Spectrum Struggles. CoRR abs/2306.14266 (2023) - [i30]Desmond J. Higham:
Can We Rely on AI? CoRR abs/2308.15092 (2023) - [i29]Stefano Di Giovacchino, Desmond J. Higham, Konstantinos Zygalakis:
Backward error analysis and the qualitative behaviour of stochastic optimization algorithms: Application to stochastic coordinate descent. CoRR abs/2309.02082 (2023) - [i28]Oliver J. Sutton, Qinghua Zhou, Ivan Yu. Tyukin, Alexander N. Gorban, Alexander Bastounis, Desmond J. Higham:
How adversarial attacks can disrupt seemingly stable accurate classifiers. CoRR abs/2309.03665 (2023) - [i27]Alexander Bastounis, Alexander N. Gorban, Anders C. Hansen, Desmond J. Higham, Danil V. Prokhorov, Oliver J. Sutton, Ivan Yu. Tyukin, Qinghua Zhou:
The Boundaries of Verifiable Accuracy, Robustness, and Generalisation in Deep Learning. CoRR abs/2309.07072 (2023) - [i26]Henry-Louis de Kergorlay, Desmond J. Higham:
Connectivity of Random Geometric Hypergraphs. CoRR abs/2309.09305 (2023) - [i25]Lucas Beerens, Desmond J. Higham:
Vulnerability Analysis of Transformer-based Optical Character Recognition to Adversarial Attacks. CoRR abs/2311.17128 (2023) - [i24]Catherine F. Higham, Desmond J. Higham, Peter Grindrod:
Diffusion Models for Generative Artificial Intelligence: An Introduction for Applied Mathematicians. CoRR abs/2312.14977 (2023) - 2022
- [j93]Stefano Di Giovacchino, Desmond J. Higham, Konstantinos C. Zygalakis:
A Hierarchy of Network Models Giving Bistability Under Triadic Closure. Multiscale Model. Simul. 20(4): 1394-1410 (2022) - [j92]Desmond John Higham, Henry-Louis de Kergorlay:
Mean Field Analysis of Hypergraph Contagion Models. SIAM J. Appl. Math. 82(6): 1987-2007 (2022) - [c8]Catherine F. Higham, Desmond J. Higham, Francesco Tudisco:
Core-periphery Partitioning and Quantum Annealing. KDD 2022: 565-573 - [i23]Catherine F. Higham, Desmond J. Higham, Francesco Tudisco:
Testing a QUBO Formulation of Core-periphery Partitioning on a Quantum Annealer. CoRR abs/2201.01543 (2022) - [i22]Francesco Tudisco, Desmond J. Higham:
Core-periphery detection in hypergraphs. CoRR abs/2202.12769 (2022) - [i21]Xue Gong, Desmond J. Higham, Konstantinos Zygalakis:
Generative Hypergraph Models and Spectral Embedding. CoRR abs/2207.13895 (2022) - 2021
- [j91]Desmond J. Higham, Nicholas J. Higham, Srikara Pranesh:
Random Matrices Generating Large Growth in LU Factorization with Pivoting. SIAM J. Matrix Anal. Appl. 42(1): 185-201 (2021) - [j90]Francesca Arrigo, Desmond J. Higham, Vanni Noferini:
A Theory for Backtrack-Downweighted Walks. SIAM J. Matrix Anal. Appl. 42(3): 1229-1247 (2021) - [i20]Francesco Tudisco, Desmond J. Higham:
Node and Edge Eigenvector Centrality for Hypergraphs. CoRR abs/2101.06215 (2021) - [i19]Austin R. Benson, David F. Gleich, Desmond J. Higham:
Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data. CoRR abs/2103.05031 (2021) - [i18]Desmond John Higham, Henry-Louis de Kergorlay:
Epidemics on Hypergraphs: Spectral Thresholds for Extinction. CoRR abs/2103.07319 (2021) - [i17]Ivan Yu. Tyukin, Desmond J. Higham, Eliyas Woldegeorgis, Alexander N. Gorban:
The Feasibility and Inevitability of Stealth Attacks. CoRR abs/2106.13997 (2021) - [i16]Xue Gong, Desmond John Higham, Konstantinos Zygalakis:
Directed Network Laplacians and Random Graph Models. CoRR abs/2107.03026 (2021) - [i15]Stefano Di Giovacchino, Desmond J. Higham, Konstantinos C. Zygalakis:
A Hierarchy of Network Models Giving Bistability Under Triadic Closure. CoRR abs/2111.05715 (2021) - 2020
- [c7]Ivan Yu. Tyukin, Desmond J. Higham, Alexander N. Gorban:
On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems. IJCNN 2020: 1-6 - [i14]Ivan Yu. Tyukin, Desmond J. Higham, Alexander N. Gorban:
On Adversarial Examples and Stealth Attacks in Artificial Intelligence Systems. CoRR abs/2004.04479 (2020) - [i13]Henry-Louis de Kergorlay, Desmond John Higham:
Consistency of Anchor-based Spectral Clustering. CoRR abs/2006.13984 (2020) - [i12]Desmond J. Higham:
A Personal Perspective on Numerical Analysis and Optimization. CoRR abs/2009.11369 (2020) - [i11]Francesca Arrigo, Desmond J. Higham, Vanni Noferini:
A Theory for Backtrack-Downweighted Walks. CoRR abs/2012.02999 (2020)
2010 – 2019
- 2019
- [j89]Francesco Tudisco, Desmond J. Higham:
A fast and robust kernel optimization method for core-periphery detection in directed and weighted graphs. Appl. Netw. Sci. 4(1): 75 (2019) - [j88]Desmond J. Higham:
Centrality-friendship paradoxes: when our friends are more important than us. J. Complex Networks 7(4): 515-528 (2019) - [j87]Francesca Arrigo, Desmond J. Higham, Vanni Noferini:
Non-backtracking PageRank. J. Sci. Comput. 80(3): 1419-1437 (2019) - [j86]David F. Anderson, Desmond J. Higham, Saul C. Leite, Ruth J. Williams:
On Constrained Langevin Equations and (Bio)Chemical Reaction Networks. Multiscale Model. Simul. 17(1): 1-30 (2019) - [j85]Francesca Arrigo, Desmond J. Higham, Vanni Noferini:
Non-Backtracking Alternating Walks. SIAM J. Appl. Math. 79(3): 781-801 (2019) - [j84]Catherine F. Higham, Desmond J. Higham:
Deep Learning: An Introduction for Applied Mathematicians. SIAM Rev. 61(4): 860-891 (2019) - [j83]Francesco Tudisco, Desmond J. Higham:
A Nonlinear Spectral Method for Core-Periphery Detection in Networks. SIAM J. Math. Data Sci. 1(2): 269-292 (2019) - [i10]Pierre Blanchard, Desmond J. Higham, Nicholas J. Higham:
Accurate Computation of the Log-Sum-Exp and Softmax Functions. CoRR abs/1909.03469 (2019) - [i9]Francesca Arrigo, Desmond J. Higham, Francesco Tudisco:
A framework for second order eigenvector centralities and clustering coefficients. CoRR abs/1910.12711 (2019) - 2018
- [j82]Francesca Arrigo, Peter Grindrod, Desmond J. Higham, Vanni Noferini:
Non-backtracking walk centrality for directed networks. J. Complex Networks 6(1): 54-78 (2018) - [j81]David F. Anderson, Desmond J. Higham, Yu Sun:
Computational Complexity Analysis for Monte Carlo Approximations of Classically Scaled Population Processes. Multiscale Model. Simul. 16(3): 1206-1226 (2018) - [j80]Peter Grindrod, Desmond J. Higham, Vanni Noferini:
The Deformed Graph Laplacian and Its Applications to Network Centrality Analysis. SIAM J. Matrix Anal. Appl. 39(1): 310-341 (2018) - [i8]Catherine F. Higham, Desmond J. Higham:
Deep Learning: An Introduction for Applied Mathematicians. CoRR abs/1801.05894 (2018) - [i7]Francesco Tudisco, Desmond J. Higham:
A Nonlinear Spectral Method for Core-Periphery Detection in Networks. CoRR abs/1804.09820 (2018) - [i6]Desmond J. Higham:
Centrality-Friendship Paradoxes: When Our Friends Are More Important Than Us. CoRR abs/1807.01496 (2018) - 2017
- [j79]Francesca Arrigo, Desmond J. Higham:
Sparse matrix computations for dynamic network centrality. Appl. Netw. Sci. 2: 17 (2017) - [j78]Caterina Fenu, Desmond J. Higham:
Block Matrix Formulations for Evolving Networks. SIAM J. Matrix Anal. Appl. 38(2): 343-360 (2017) - [j77]Martin Paton, Kerem Akartunali, Desmond J. Higham:
Centrality Analysis for Modified Lattices. SIAM J. Matrix Anal. Appl. 38(3): 1055-1073 (2017) - 2016
- [b4]David F. Griffiths, Desmond J. Higham:
Learning LaTeX (2. ed.). SIAM 2016, ISBN 978-1-611-97441-6, pp. 1-103 - [j76]Michele Benzi, Desmond J. Higham:
Commentary on Dehmer and Mowshowitz. Complex. 21(S1): 19 (2016) - [j75]Mary Aprahamian, Desmond J. Higham, Nicholas J. Higham:
Matching exponential-based and resolvent-based centrality measures. J. Complex Networks 4(2): 157-176 (2016) - [j74]David F. Anderson, Desmond J. Higham, Yu Sun:
Multilevel Monte Carlo for Stochastic Differential Equations with Small Noise. SIAM J. Numer. Anal. 54(2): 505-529 (2016) - [j73]Desmond J. Higham:
Survey and Review. SIAM Rev. 58(1): 1 (2016) - [j72]Desmond J. Higham:
Survey and Review. SIAM Rev. 58(2): 175 (2016) - [j71]Desmond J. Higham:
Survey and Review. SIAM Rev. 58(3): 375 (2016) - [j70]Desmond J. Higham:
Survey and Review. SIAM Rev. 58(4): 601 (2016) - [c6]Francesca Arrigo, Desmond J. Higham:
Preserving Sparsity in Dynamic Network Computations. COMPLEX NETWORKS 2016: 147-157 - 2015
- [j69]Desmond J. Higham:
An introduction to multilevel Monte Carlo for option valuation. Int. J. Comput. Math. 92(12): 2347-2360 (2015) - [j68]Desmond J. Higham:
Survey and Review. SIAM Rev. 57(1): 1 (2015) - [j67]Desmond J. Higham:
Survey and Review. SIAM Rev. 57(2): 165 (2015) - [j66]Desmond J. Higham:
Survey and Review. SIAM Rev. 57(3): 319 (2015) - [j65]Desmond J. Higham:
Survey and Review. SIAM Rev. 57(4): 481 (2015) - [i5]Desmond J. Higham:
An Introduction to Multilevel Monte Carlo for Option Valuation. CoRR abs/1505.00965 (2015) - [i4]Caterina Fenu, Desmond J. Higham:
Block Matrix Formulations for Evolving Networks. CoRR abs/1511.07305 (2015) - 2014
- [j64]David F. Anderson, Desmond J. Higham, Yu Sun:
Complexity of Multilevel Monte Carlo Tau-Leaping. SIAM J. Numer. Anal. 52(6): 3106-3127 (2014) - [j63]Desmond J. Higham:
Survey and Review. SIAM Rev. 56(1): 1 (2014) - [j62]Desmond J. Higham:
Survey and Review. SIAM Rev. 56(2): 211 (2014) - [j61]Desmond J. Higham:
Survey and Review. SIAM Rev. 56(3): 383 (2014) - [j60]Desmond J. Higham:
Survey and Review. SIAM Rev. 56(4): 575 (2014) - [i3]Desmond J. Higham, Peter Grindrod, Alexander V. Mantzaris, Amanda Otley, Peter Laflin:
Anticipating Activity in Social Media Spikes. CoRR abs/1406.2017 (2014) - [i2]Peter Grindrod, Desmond J. Higham, Robert S. MacKay:
Opportunities at the Mathematics/Future Cities Interface. CoRR abs/1409.1831 (2014) - 2013
- [j59]Alexander V. Mantzaris, Danielle S. Bassett, Nicholas F. Wymbs, Ernesto Estrada, Mason A. Porter, Peter J. Mucha, Scott T. Grafton, Desmond J. Higham:
Dynamic network centrality summarizes learning in the human brain. J. Complex Networks 1(1): 83-92 (2013) - [j58]Desmond J. Higham, Xuerong Mao, Mikolaj Roj, Qingshuo Song, George Yin:
Mean Exit Times and the Multilevel Monte Carlo Method. SIAM/ASA J. Uncertain. Quantification 1(1): 2-18 (2013) - [j57]Desmond J. Higham:
Survey and Review. SIAM Rev. 55(1): 1 (2013) - [j56]Peter Grindrod, Desmond J. Higham:
A Matrix Iteration for Dynamic Network Summaries. SIAM Rev. 55(1): 118-128 (2013) - [j55]Desmond J. Higham:
Survey and Review. SIAM Rev. 55(2): 203 (2013) - [j54]Desmond J. Higham:
Survey and Review. SIAM Rev. 55(3): 413 (2013) - [j53]Desmond J. Higham:
Survey and Review. SIAM Rev. 55(4): 599 (2013) - [j52]Peter Laflin, Alexander V. Mantzaris, Fiona Ainley, Amanda Otley, Peter Grindrod, Desmond J. Higham:
Discovering and validating influence in a dynamic online social network. Soc. Netw. Anal. Min. 3(4): 1311-1323 (2013) - [i1]Peter Grindrod, Desmond J. Higham:
Dynamical Systems to Monitor Complex Networks in Continuous Time. CoRR abs/1305.7430 (2013) - 2012
- [j51]Peter Grindrod, Desmond J. Higham, Mark C. Parsons:
Bistability through Triadic Closure. Internet Math. 8(4): 402-423 (2012) - [j50]David F. Anderson, Desmond J. Higham:
Multilevel Monte Carlo for Continuous Time Markov Chains, with Applications in Biochemical Kinetics. Multiscale Model. Simul. 10(1): 146-179 (2012) - [j49]Desmond J. Higham:
Survey and Review. SIAM Rev. 54(1): 1 (2012) - [j48]Desmond J. Higham:
Survey and Review. SIAM Rev. 54(2): 209 (2012) - [j47]Desmond J. Higham:
Survey and Review. SIAM Rev. 54(3): 419 (2012) - [j46]Desmond J. Higham:
Survey and Review. SIAM Rev. 54(4): 625 (2012) - [c5]Peter Laflin, Alexander V. Mantzaris, Fiona Ainley, Amanda Otley, Peter Grindrod, Desmond J. Higham:
Dynamic Targeting in an Online Social Medium. SocInfo 2012: 82-95 - [c4]Peter Laflin, Fiona Ainley, Amanda Otley, Alexander V. Mantzaris, Desmond J. Higham:
Demonstration of Dynamic Targeting in an Online Social Medium. SocInfo 2012: 539-542 - [c3]Desmond J. Higham, Mikolaj Roj:
Computing mean first exit times for stochastic processes using multi-level Monte Carlo. WSC 2012: 30:1-30:10 - 2011
- [j45]Xiaolin Xiao, Neil Dawson, Lynsey MacIntyre, Brian J. Morris, Judith A. Pratt, David G. Watson, Desmond J. Higham:
Exploring metabolic pathway disruption in the subchronic phencyclidine model of schizophrenia with the Generalized Singular Value Decomposition. BMC Syst. Biol. 5: 72 (2011) - [j44]Jonathan J. Crofts, Desmond J. Higham:
Googling the Brain: Discovering Hierarchical and Asymmetric Network Structures, with Applications in Neuroscience. Internet Math. 7(4): 233-254 (2011) - [j43]Alan Taylor, J. Keith Vass, Desmond J. Higham:
Discovering bipartite substructure in directed networks. LMS J. Comput. Math. 14: 72-86 (2011) - [j42]Jonathan J. Crofts, Desmond J. Higham, Rose Bosnell, Saâd Jbabdi, Paul M. Matthews, T. E. J. Behrens, Heidi Johansen-Berg:
Network analysis detects changes in the contralesional hemisphere following stroke. NeuroImage 54(1): 161-169 (2011) - 2010
- [b3]David F. Griffiths, Desmond J. Higham:
Numerical Methods for Ordinary Differential Equations - Initial Value Problems. Springer undergraduate mathematics series, Springer 2010, ISBN 978-0-85729-147-9, pp. I-XIV, 1-271 - [j41]Ernesto Estrada, Desmond J. Higham:
Network Properties Revealed through Matrix Functions. SIAM Rev. 52(4): 696-714 (2010) - [p2]Ernesto Estrada, Maria Fox, Desmond J. Higham, Gian-Luca Oppo:
Complex Networks: An Invitation. Network Science 2010: 1-11 - [p1]Alan Taylor, Desmond J. Higham:
NESSIE: Network Example Source Supporting Innovative Experimentation. Network Science 2010: 85-106 - [e1]Ernesto Estrada, Maria Fox, Desmond J. Higham, Gian-Luca Oppo:
Network Science - Complexity in Nature and Technology. Springer 2010, ISBN 978-1-84996-395-4 [contents]
2000 – 2009
- 2009
- [j40]Michael B. Giles, Desmond J. Higham, Xuerong Mao:
Analysing multi-level Monte Carlo for options with non-globally Lipschitz payoff. Finance Stochastics 13(3): 403-413 (2009) - [j39]Somkid Intep, Desmond J. Higham, Xuerong Mao:
Switching and Diffusion Models for Gene Regulation Networks. Multiscale Model. Simul. 8(1): 30-45 (2009) - [j38]Lukasz Szpruch, Desmond J. Higham:
Comparing Hitting Time Behavior of Markov Jump Processes and Their Diffusion Approximations. Multiscale Model. Simul. 8(2): 605-621 (2009) - [j37]Oleksii Kuchaiev, Marija Rasajski, Desmond J. Higham, Natasa Przulj:
Geometric De-noising of Protein-Protein Interaction Networks. PLoS Comput. Biol. 5(8) (2009) - [j36]Alan Taylor, Desmond J. Higham:
CONTEST: A Controllable Test Matrix Toolbox for MATLAB. ACM Trans. Math. Softw. 35(4): 26:1-26:17 (2009) - 2008
- [j35]Desmond J. Higham, Marija Rasajski, Natasa Przulj:
Fitting a geometric graph to a protein-protein interaction network. Bioinform. 24(8): 1093-1099 (2008) - [j34]Gabriela Kalna, J. Keith Vass, Desmond J. Higham:
Multidimensional partitioning and bi-partitioning: analysis and application to gene expression data sets. Int. J. Comput. Math. 85(3&4): 475-485 (2008) - [j33]Desmond J. Higham:
Modeling and Simulating Chemical Reactions. SIAM Rev. 50(2): 347-368 (2008) - [j32]Graeme D. Chalmers, Desmond J. Higham:
Asymptotic Stability of a Jump-Diffusion Equation and Its Numerical Approximation. SIAM J. Sci. Comput. 31(2): 1141-1155 (2008) - [j31]Raya Khanin, Desmond J. Higham:
Chemical Master Equation and Langevin regimes for a gene transcription model. Theor. Comput. Sci. 408(1): 31-40 (2008) - 2007
- [j30]Gabriela Kalna, Desmond J. Higham:
A clustering coefficient for weighted networks, with application to gene expression data. AI Commun. 20(4): 263-271 (2007) - [j29]Gabriela Kalna, Johanna Thurlow, J. Keith Vass, Desmond J. Higham:
Progression of oral carcinomas revealed by spectral reordering of a bipartite graph. BMC Syst. Biol. 1(S-1): P12 (2007) - [j28]Xu Gu, David R. Gilbert, Desmond J. Higham, Miles Houslay:
Modelling the cAMP pathway using BioNessie, and the use of BVP techniques for solving ODEs. BMC Syst. Biol. 1(S-1): P6 (2007) - [j27]J. Keith Vass, Gabriela Kalna, Desmond J. Higham:
Identification of phenotypes in patient microarrays. BMC Syst. Biol. 1(S-1): P75 (2007) - [j26]Johannes C. Klein, Timothy Edward John Behrens, Matthew D. Robson, Clare E. Mackay, Desmond J. Higham, Heidi Johansen-Berg:
Connectivity-based parcellation of human cortex using diffusion MRI: Establishing reproducibility, validity and observer independence in BA 44/45 and SMA/pre-SMA. NeuroImage 34(1): 204-211 (2007) - [j25]Desmond J. Higham, Xuerong Mao, Chenggui Yuan:
Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations. Numerische Mathematik 108(2): 295-325 (2007) - [j24]Desmond J. Higham, Xuerong Mao, Chenggui Yuan:
Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations. SIAM J. Numer. Anal. 45(2): 592-609 (2007) - [j23]Desmond J. Higham:
A Matrix Perturbation View of the Small World Phenomenon. SIAM Rev. 49(1): 91-108 (2007) - [c2]Raya Khanin, Desmond J. Higham:
Chemical Master Equation and Langevin Regimes for a Gene Transcription Model. CMSB 2007: 1-14 - 2006
- [j22]Julie L. Morrison, Rainer Breitling, Desmond J. Higham, David R. Gilbert:
A lock-and-key model for protein-protein interactions. Bioinform. 22(16): 2012-2019 (2006) - 2005
- [b2]Desmond J. Higham, Nicholas J. Higham:
Matlab guide, Second Edition. SIAM 2005, ISBN 978-0-89871-578-1, pp. I-XXIII, 1-382 - [j21]Desmond J. Higham:
Google PageRank as mean playing time for pinball on the reverse web. Appl. Math. Lett. 18(12): 1359-1362 (2005) - [j20]Julie L. Morrison, Rainer Breitling, Desmond J. Higham, David R. Gilbert:
GeneRank: Using search engine technology for the analysis of microarray experiments. BMC Bioinform. 6: 233 (2005) - [j19]Desmond J. Higham, Peter E. Kloeden:
Numerical methods for nonlinear stochastic differential equations with jumps. Numerische Mathematik 101(1): 101-119 (2005) - 2004
- [j18]Desmond J. Higham:
Black-Scholes for scientific computing students. Comput. Sci. Eng. 6(6): 72-79 (2004) - 2003
- [j17]Desmond J. Higham, Xuerong Mao, Andrew M. Stuart:
Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations. LMS J. Comput. Math. 6: 297-313 (2003) - [j16]Desmond J. Higham:
A Matrix Perturbation View of the Small World Phenomenon. SIAM J. Matrix Anal. Appl. 25(2): 429-444 (2003) - 2002
- [j15]Desmond J. Higham, Xuerong Mao, Andrew M. Stuart:
Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations. SIAM J. Numer. Anal. 40(3): 1041-1063 (2002) - [j14]Desmond J. Higham:
Nine Ways to Implement the Binomial Method for Option Valuation in MATLAB. SIAM Rev. 44(4): 661-677 (2002) - 2001
- [j13]Desmond J. Higham:
An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations. SIAM Rev. 43(3): 525-546 (2001) - 2000
- [b1]Desmond J. Higham, Nicholas J. Higham:
Matlab guide. SIAM 2000, ISBN 978-0-89871-469-2, pp. I-XXII, 1-283 - [j12]Graeme J. Barclay, David F. Griffiths, Desmond J. Higham:
Theta Method Dynamics. LMS J. Comput. Math. 3: 27-43 (2000) - [j11]Desmond J. Higham:
Mean-Square and Asymptotic Stability of the Stochastic Theta Method. SIAM J. Numer. Anal. 38(3): 753-769 (2000) - [j10]Desmond J. Higham, A. R. Humphries, R. J. Wain:
Phase Space Error Control for Dynamical Systems. SIAM J. Sci. Comput. 21(6): 2275-2294 (2000) - [j9]Mark A. Aves, David F. Griffiths, Desmond J. Higham:
Runge-Kutta Solutions of a Hyperbolic Conservation Law with Source Term. SIAM J. Sci. Comput. 22(1): 20-38 (2000)
1990 – 1999
- 1999
- [j8]Desmond J. Higham:
Trust Region Algorithms and Timestep Selection. SIAM J. Numer. Anal. 37(1): 194-210 (1999) - 1998
- [j7]Desmond J. Higham, Nicholas J. Higham:
Structured Backward Error and Condition of Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 20(2): 493-512 (1998) - 1997
- [j6]Manuel Calvo, Desmond J. Higham, Juan I. Montijano, Luis Rández:
Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes. Adv. Comput. Math. 7(3): 361-382 (1997) - 1996
- [c1]Desmond J. Higham:
Reliability of local error control algorithms for initial value ordinary differential equations. Quality of Numerical Software 1996: 315-325 - 1992
- [j5]Desmond J. Higham, Nicholas J. Higham:
Backward Error and Condition of Structured Linear Systems. SIAM J. Matrix Anal. Appl. 13(1): 162-175 (1992) - [j4]Desmond J. Higham:
Order Stars (A. Iserles and S. P. Nørsett). SIAM Rev. 34(4): 666-668 (1992) - 1991
- [j3]Desmond J. Higham:
Runge-Kutta Defect Control Using Hermite-Birkhoff Interpolation. SIAM J. Sci. Comput. 12(5): 991-999 (1991) - [j2]Desmond J. Higham:
Highly continuous Runge-Kutta interpolants. ACM Trans. Math. Softw. 17(3): 368-386 (1991) - [j1]Desmond J. Higham:
Remark on algorithm 669. ACM Trans. Math. Softw. 17(3): 424-426 (1991)
Coauthor Index
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Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from , , and to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
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last updated on 2024-12-04 21:09 CET by the dblp team
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