D. J. Needham

2.1k citations

107 papers · 1.6k indexed · h-index 25

Modeling and Simulation top 1%
- Mathematical Biology Tumor Growth 10
Computer Networks and Communications top 2%
- Nonlinear Dynamics and Pattern Formation 48
Statistical and Nonlinear Physics top 2%
Computational Mechanics top 2%
- Fluid Dynamics and Turbulent Flows 15
Numerical Analysis top 5%
- Differential Equations and Numerical Methods 8
Public Health, Environmental and Occupational Health
- Mathematical and Theoretical Epidemiology and Ecology Models 40
Atomic and Molecular Physics, and Optics
- Spectroscopy and Quantum Chemical Studies 16
Genetics
- Evolution and Genetic Dynamics 13
Mathematical Physics
- Advanced Mathematical Physics Problems 7

Co-authors: J. H. Merkin J. Billingham Stephen K. Scott A. C. King J. A. Leach Alison L. Kay Richard D. Hey John C. Meyer
Cited by: Modeling and Simulation Computer Networks and Communications Statistical and Nonlinear Physics
Journals: Journal of Fluid Mechanics (11 papers)Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences (9 papers)Journal of Engineering Mathematics (9 papers)
Partner nations: United Kingdom United States Norway

In The Last Decade

D. J. Needham

99 papers receiving 1.5k citations

Peers

Countries citing papers authored by D. J. Needham

Since Specialization

Citations

This map shows the geographic impact of D. J. Needham's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by D. J. Needham with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites D. J. Needham more than expected).

Fields of papers citing papers by D. J. Needham

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by D. J. Needham. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by D. J. Needham. The network helps show where D. J. Needham may publish in the future.

Co-authorship network

The 24 scholars most cited alongside D. J. Needham, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with D. J. Needham Line = papers co-authored together D. J. Needham links everyone, so they are left out of the graph.

All Works

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20 of 20 papers shown

#	Work
1	The Riemann problem for a generalized Burgers equation with spatially decaying sound speed. I Large‐time asymptotics Studies in Applied Mathematics ·D. J. Needham,John C. Meyer,J. Billingham,Hatice Sabiha Türe	2023	1
2	The evolution of traveling waves in a KPP reaction–diffusion model with cut‐off reaction rate. II. Evolution of traveling waves Studies in Applied Mathematics ·K. Zilch,D. J. Needham,Q Li	2020	2
3	The initial development of a jet caused by fluid, body and free surface interaction. Part 5. Parasitic capillary waves on an initially horizontal surface Journal of Fluid Mechanics ·J. Billingham,D. J. Needham,G Pliess,R. J. Munro	2017	0
4	A centre theorem for two-dimensional complex holomorphic systems and its generalization Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·D. J. Needham	1995	6
5	The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. II. Abruptly vanishing diffusivity Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·D. J. Needham,A. C. King	1995	1
6	The evolution of travelling waves in reaction-diffusion equations with monotone decreasing diffusivity. I. Continuous diffusivity Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·D. J. Needham,A. C. King	1995	4
7	The effects of variable diffusivity on the development of travelling waves in a class of reaction-diffusion equations Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·A. C. King,D. J. Needham	1994	7
8	Mathematical modelling of chemical clock reactions. I. Induction, inhibition and the iodate-arsenous-acid reaction Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·J. Billingham,D. J. Needham	1992	7
9	The development of travelling waves in a simple isothermal chemical system. IV. Quadratic autocatalysis with quadratic decay Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham	1991	27
10	The development of travelling waves in a simple isothermal chemical system with general orders of autocatalysis and decay Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·D. J. Needham,J. H. Merkin	1991	25
11	The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. II. An initial-value problem with an immobilized or nearly immobilized autocatalyst Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·J. Billingham,D. J. Needham	1991	40
12	The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·J. Billingham,D. J. Needham	1991	109
13	On nonlinear simple waves in alluvial river flows: a theory for sediment bores Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences ·D. J. Needham,Richard D. Hey	1991	26
14	The development of travelling waves in a simple isothermal chemical system III. Cubic and mixed autocatalysis Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·Peter Gray,J. H. Merkin,D. J. Needham,Stephen K. Scott	1990	29
15	The development of travelling waves in a simple isothermal chemical system II. Cubic autocatalysis with quadratic and linear decay Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham	1990	40
16	The development of travelling waves in a simple isothermal chemical system - I. Quadratic autocatalysis with linear decay Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham,Stephen K. Scott	1989	47
17	An infinite period bifurcation arising in roll waves down an open inclined channel Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham	1986	21
18	Oscillatory chemical reactions in closed vessels Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham,Stephen K. Scott	1986	52
19	A simple model for sustained oscillations in isothermal branched-chain or autocatalytic reactions in a well stirred open system I. Stationary states and local stabilities Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·J. H. Merkin,D. J. Needham,Stephen K. Scott	1985	25
20	On roll waves down an open inclined channel Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·D. J. Needham,J. H. Merkin	1984	101

About D. J. Needham

D. J. Needham is a scholar working on Modeling and Simulation, Computer Networks and Communications, Computational Mechanics, Mathematical Physics and Numerical Analysis, having authored 107 papers that have together received 1.6k indexed citations. Recurring topics across this work include Nonlinear Dynamics and Pattern Formation (48 papers), Mathematical and Theoretical Epidemiology and Ecology Models (40 papers), Spectroscopy and Quantum Chemical Studies (16 papers), Fluid Dynamics and Turbulent Flows (15 papers), Evolution and Genetic Dynamics (13 papers), Mathematical Biology Tumor Growth (10 papers), Differential Equations and Numerical Methods (8 papers) and Advanced Mathematical Physics Problems (7 papers). The work is most often cited by research in Modeling and Simulation (231 citations), Computer Networks and Communications (716 citations), Statistical and Nonlinear Physics (313 citations), Computational Mechanics (453 citations) and Numerical Analysis (116 citations). D. J. Needham has collaborated with scholars based in United Kingdom, United States and Norway. Frequent co-authors include J. H. Merkin, J. Billingham, Stephen K. Scott, A. C. King, J. A. Leach, Alison L. Kay, Richard D. Hey, John C. Meyer, Peter Gray and Philip M. McCabe. Their work appears in journals such as Journal of Fluid Mechanics, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Journal of Engineering Mathematics, Zeitschrift für angewandte Mathematik und Physik and The Quarterly Journal of Mechanics and Applied Mathematics.

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