Dr Armando Coco

Lecturer in Mathematical Modelling

Profile

I joined the Oxford Brookes University as a Lecturer in Mathematical Modelling in September 2015. I obtained a Ph.D. in Mathematics for Technology in Catania (Italy) in 2012 and I held a postdoc Research Assistant position at INRIA (France), at University of Bari (Italy) and at University of Bristol.

I have always been passionate for Mathematics in a broad sense, from the rigorous theory to real-life oriented applications, as well as teaching at different levels, from secondary Schools to postgraduate level. Related to my area of expertise, I have a substantial experience in numerical methods for applied mathematics, since this has been the field of my research since my doctorate studies. The interdisciplinary aspects of my research allow me to combine the analytical rigorous thinking developed since my undergraduates studies in Pure Mathematics with the technical expertise of an Applied Computational Mathematician.

Finding a perfect harmony between research and teaching and achieving this goal also by integrating my research projects into teaching programmes is at the base of my job philosophy.

Teaching Responsibilities:

I am the module leader for:

  • U04520 Engineering Mathematics
  • U08604 Modelling and Computation
I supervise students’ projects and dissertations, as well as postgraduate research project.

Memberships and affiliations:

  • UMI (Italian Mathematical Union), since 2009
  • GNCS (National Group of Scientific Computing, Italy), since 2009
  • AGU (American Geophysical Union), since 2014

Academic interests:

Although I am interested in many aspects of Mathematics, my research activity is focussed on the design of highly efficient and accurate numerical models for problems involving fluid mechanics and elastic deformation in order to simulate and possibly predict some complex phenomena coming from geophysics and scientific engineering for academic and industrial applications. I am interested in devising general methods that account for complex (possibly moving) geometries, implicitly described by level-set methods, and designing specific multigrid solvers. Particular interest is devoted to stationary problems, either in general form (elliptic equations) or specific to an application field (Cauchy-Navier equations for Linear Elasticity in Volcanology problems, Stokes equations for steady-state behavior of incompressible fluid dynamics). A recent interest is time-dependent equations and moving boundary/interface governing fluid mechanics, with particular attention to incompressible fluid dynamics, fluid flow in porous media, compressible gas dynamics.

Publications:

  • [1] Coco, A., Currenti, G., Del Negro, C. and Russo, G (2014). A second order finite-difference ghost-point method for elasticity problems on unbounded domains with applications to volcanology. Commun. Comput. Phys., 16, pp. 983–1009.
  • [2] Coco, A., Currenti, G. and Russo, G. (2012) A second order finite-difference ghost cell method for the steady-state solution of elasticity problems. Progress in Industrial Mathematics at ECMI, 391–395.
  • [3] Coco, A. and G. Russo (2014). Boundary Treatment in Ghost Point Finite Difference Methods for Compressible Gas Dynamics in Domain with Moving Boundaries. In: Hyperbolic Problems: Theory, Numerics, Applications, Proceedings to HYP2012, 455–465.
  • [4] Coco, A. and G. Russo (2013). Finite-Difference Ghost-Point Multigrid Methods on Cartesian Grids for Elliptic Problems in Arbitrary Domains. Journal of Computational Physics 241, 464– 501.
  • [5] Coco, A. and G. Russo (2012). Second order multigrid methods for elliptic problems with dis- continuous coefficients on an arbitrary interface, I: one dimensional problems. Numerical Mathematics: Theory, Methods and Applications 5, 19–42.

Accepted:

  • [6] Coco, A., G. Russo, and M. Semplice. Adaptive Mesh Refinement for Hyperbolic Systems based on Third-Order Compact WENO Reconstruction. SIAM Journal on Scientific Computing (SISC).
  • [7] Coco, A., Currenti, G., Del Negro, C., Gottsmann, J. and Russo, G. Geophysical changes in hydrothermal-volcanic areas: a finite-difference ghost-point cell method to solve thermo- poroelastic equations. Submitted to ECMI2014 proceedings.

Submitted:

  • [8] A. Coco, J. Gottsmann, F. Whitaker, A. Rust, G. Currenti, A. Jasim, S. Bunney, Numerical models for ground deformation and gravity changes during volcanic unrest: simulating the hydrothermal system dynamics of an active caldera.
  • [9] Chertock, A., A. Coco, A. Kurganov, and G. Russo. A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries.
  • [10] Coco, A., Russo, G. A Ghost-Cell Finite-Difference Multigrid approach for systems of PDE’s in arbitrary domains, Submitted to Numerical Linear Algebra with Applications.
  • [11] Coco, A. and G. Russo. Second order multigrid methods for elliptic problems with discontin- uous coefficients on an arbitrary interface, II: higher dimensional problems.
  • [12] Coco, A., F. Gibou, and G. Russo. Adaptive solvers for Poisson problems with discontinuous coefficients on Cartesian grids.

Software:

  • Semplice, M., Coco, A.: dune-fv software (2014). http://www.personalweb.unito.it/matteo. semplice/codes.htm
Dr Armando Coco

CONTACT US

Department of Mechanical Engineering and Mathematical Sciences

Oxford Brookes University
Wheatley Campus
Wheatley
OXFORD OX33 1HX
United Kingdom

acoco@brookes.ac.uk