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DR MAT SIMPSON



Contact Details

Organization: Mathematics and Statistics
Position: AUSTRALIAN POSTDOCTORAL RESEARCH FELLOW
Email:
Homepage: 93842649
Work: 8344 6517
Fax: 8344 4599
Room: 19
Level: 10
Building: Richard Berry Building
Campus: Parkville

Research Expertise and International Linkages

Research Expertise

Research Interest Key Words Country of Expertise
Applied Mathematics Numerical Analysis Australia

Qualifications, Honours, Fellowships and Other Awards

Qualifications

Title Institution Date Awarded Abbreviation
Bachelor of Environmental Engineering (Honours) University of Newcastle 31-Dec-1998
Doctor of Philosophy The University of Western Australia 31-Dec-2003

Memberships

Membership Type Membership Body Description Start Date End Date
Member Australian Mathematical Society Member of the Australian Mathematical Society 01-Dec-2005 01-Dec-2006

Government Research Classifications

Research Fields, Courses and Discipline Classifications

Socio-Economic Objective Classifications

Publications

Publications produced at the University of Melbourne and reported in the Annual Publications Collection and 'Research Report' since 2001. The Themis Publications module, released in November 2006, allows additional publications from previous institutions and publications from past years to be entered.

Publications in 2008

Journal Articles

  • Tactically-driven nonmonotone travelling waves


    Year: 2008
    Journal: Physica D: Nonlinear Phenomena
    Volume: 5
    Issue: 1
    Page numbers: 678-691
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  • Letter to the Editor
    Year: 2008
    Journal: AICHE Journal
    Volume: 54
    Issue: 2
    Page numbers: 588-588
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  • Modeling proliferative tissue growth: A general approach and an avian case study
    Year: 2008
    Journal: Physical Review E
    Volume: 78
    Page numbers: 031912
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  • Theoretical analysis and physical interpretation of temporal truncation errors in operator split algorithms
    Year: 2008
    Journal: Mathematics and Computers in Simulation
    Volume: 77
    Issue: 1
    Page numbers: 9-21
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Publications in 2007

Journal Articles

  • Analysis of split operator methods applied to reactive transport
    with Monod kinetics
    Year: 2007
    Journal: Advances in Water Resources
    Volume: 30
    Page numbers: 2026-2033
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  • Cell proliferation drives neural crest cell invasion of the intestine
    Year: 2007
    Journal: Developmental Biology
    Volume: 302
    Page numbers: 553-568
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  • Coalescence of interacting cell populations
    Year: 2007
    Journal: Journal of Theoretical Biology
    Volume: 247
    Page numbers: 525-543
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  • Mathematical and experimental insights into the development of the enteric nervous system and Hirschsprung's disease
    Year: 2007
    Journal: Development Growth & Differentiation
    Volume: 49
    Page numbers: 277-286
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  • Nonmonotone chemotactic invasion:
    High-resolution simulations, phase plane analysis
    and new benchmark problems
    Year: 2007
    Journal: Journal of Computational Physics
    Volume: 225
    Page numbers: 6-12
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  • Reply to comment on “Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation”
    Year: 2007
    Journal: Hydrogeology Journal
    Volume: 15
    Issue: 2
    Page numbers: 431-432
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  • Simulating invasion with cellular automata: Connecting cell-scale and population-scale properties
    Year: 2007
    Journal: Physical Review E
    Volume: 021918
    Page numbers: 1-11
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Publications in 2006

Journal Articles

  • Characterizing and minimizing the operator split error for Fisher’s equation
    Year: 2006
    Journal: Applied Mathematics Letters
    Volume: 2006
    Issue: 19
    Page numbers: 612-620
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  • Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications
    Year: 2006
    Journal: Journal of Computational and Applied Mathematics
    Volume: 192
    Page numbers: 282-300
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  • Looking inside an invasion wave of cells using continuum models:Proliferation is the key
    Year: 2006
    Journal: Journal of Theoretical Biology
    Volume: 243
    Page numbers: 343-360
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Publications in 2005

Journal Articles

  • Assessment of a non-traditional operator split algorithm for simulation of reactive transport
    Year: 2005
    Journal: Mathematics and Computers in Simulation
    Volume: 70
    Issue: 1
    Page numbers: 44-60
    Publisher: Elsevier Science(Amsterdam)
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  • Diffusive and Chemotactic Cellular Migration: Smooth and Discontinuous Traveling Wave Solutions
    Year: 2005
    Journal: SIAM Journal on Applied Mathematics
    Volume: 65
    Issue: 4
    Page numbers: 1420-1442
    Publisher: Society for Industrial and Applied Mathematics(Pennsylvania)
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Conference Publications/Papers

  • Testing Numerical Models of Variable Density Ground Water Flow: Current Trends and the Renaissance of the Henry Problem
    Year: 2005
    Event name: Groundwater and saline intrusion - 18th Salt Water Intrusion Meeting
    Conference Publication: 18th Salt Water Intrusion Meeting
    Page numbers: 41-48
    Publisher: Instituto Geologico Y Minero De Espana(Madrid)
    Author(s):

Publications in 2004

Journal Articles

  • Computing residence times for flow towards a pumping well: nomograph solution and validity of the small draw-down approximation
    Year: 2004
    Journal: Hydrogeology Journal
    Volume: 13
    Page numbers: 1-11
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  • Improving the worthiness of the Henry problem as a benchmark for density-dependent groundwater flow models
    Year: 2004
    Journal: Water Resources Research
    Volume: 40
    Issue: 1
    Page numbers: 1-11
    Publisher: American Geophysical Union(Washington DC)
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  • SEAWAT-2000: Variable-density flow processes and integrated MT3DMS transport processes
    Year: 2004
    Journal: Ground Water
    Volume: 42
    Issue: 5
    Page numbers: 642-645
    Publisher: National Ground Water Association(Ohio)
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Publications in 2003

Journal Articles

  • Analytical Model for Computing Residence Times Near a Pumping Well
    Year: 2003
    Journal: Ground Water
    Volume: 41
    Issue: 3
    Page numbers: 351-354
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  • Comparison of finite difference and finite element solutions to the variably saturated flow equation
    Year: 2003
    Journal: Journal of Hydrology
    Volume: 270
    Page numbers: 49-64
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  • Laboratory and Numerical Investigation of Flow and Transport Near a Seepage-Face Boundary
    Year: 2003
    Journal: Ground Water
    Volume: 41
    Issue: 5
    Page numbers: 690-700
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  • Theoretical analysis of the worthiness of Henry and Elder problems as benchmarks of density-dependent groundwater flow models
    Year: 2003
    Journal: Advances in Water Resources
    Volume: 26
    Page numbers: 17-31
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