Dr Elaine Crooks
Associate Professor
Mathematics
Telephone: (01792) 602387
Room: Office - 324
Third Floor
Computational Foundry
Bay Campus

Areas of Expertise

  • Nonlinear partial differential equations
  • Singular limits of elliptic and parabolic systems
  • Reaction-diffusion-convection systems and travelling waves
  • Applications of PDE to biology
  • Geometric methods for image processing

Publications

  1. & Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data and Inpainting. SIAM Journal on Imaging Sciences 11(4), 2368-2428.
  2. & Minimality conditions for wave speed in anisotropic smectic C∗ liquid crystals. Mathematical Methods in the Applied Sciences 41(1), 88-102.
  3. & Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations. SIAM Journal on Mathematical Analysis 48(6), 4126-4154.
  4. & Self-similar fast-reaction limits for reaction–diffusion systems on unbounded domains. Journal of Differential Equations 261(3), 2210-2250.
  5. & Lack of symmetry in linear determinacy due to convective effects in reaction-diffusion-convection problems. Tamkang Journal of Mathematics 47(1), 51-70.

See more...

Teaching

  • MA-101 Introductory Calculus

    The module introduces basic concepts such as sets, functions, limits, differentiation and integration.

  • MA-E01 Year Abroad

    Students are required to select appropriate maths modules. The modules chosen are detailed within a Learning Agreement which must be approved by the Study Abroad Co-ordinator at Swansea University before the student leaves Swansea.

  • MA-R01 Year Abroad

    Students are required to select appropriate maths modules. The modules chosen are detailed within a Learning Agreement which must be approved by the Study Abroad Co-ordinator at Swansea University before the student leaves Swansea.

  • MAW101 Cyflwyniad i Galcwlws

    Mae¿r modiwl yn cyflwyno syniadau sylfaenol fel setiau, ffwythiannau, terfannau, differ ac integru.

Supervision

  • Thomas-Fermi theory for graphene (current)

    Student name:
    MPhil
    Other supervisor: Prof Vitaly Moroz
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Carlo Mercuri
  • The role of polymorphism, mutation and trade-offs in spreading speeds of biological invasions (current)

    Student name:
    PhD
    Other supervisor: Prof Luca Borger
  • Existence and Qualitative Properties of Solutions to Non Linear Schodinger-Poisson Systems (current)

    Student name:
    PhD
    Other supervisor: Dr Carlo Mercuri
  • Topics on Hamiltonian Dynamics Related to symbols of certain Schrodinger operators associated with generators of Levy processes. (awarded 2018)

    Student name:
    PhD
    Other supervisor: Prof Niels Jacob