Andrés Prieto

Andrés Prieto

Professor of Applied Mathematics

University of A Coruña



Andrés Prieto (Ferrol, 1978) is an Associate Professor of Applied Mathematics at the Mathematics Department (UDC) since 2012. He obtained his PhD in Applied Mathematics in June 2007, with a thesis entitled  “Some contributions in time-harmonic dissipative acoustic problems” , under the supervision of Alfredo Bermúdez (USC), Luis Hervella Nieto (UDC) and Rodolfo Rodríguez (Universidad de Concepción, Chile), obtaining the qualification of Outstanding cum Laude unanimously, and later the Extraordinary Doctorate Award from the Faculty of Mathematics (USC). During the completion of the doctoral thesis he carried out three training stays at the Institut National de Recherche en Informatique et Automatique-INRIA (Rocquencourt, France). He has been a post-doc researcher at INRIA (2007, France), ENSTA (2008, France), CALTECH (2009, USA), and USC (2010-2011, Spain). Since 2022, he is a promoter and associated researcher of the Galician Centre for Mathematical Research and Technology (CITMAga).

He has participated in a number of competitive research projects at regional, national and international levels, currently at “Mathematical and computational methods for new challenges in quantitative finance, environment, biotechnology and engineering” (PI: C. Vázquez funded by Ministry of Science and Innovation, 2020-22). He has been PI of the regional project, “Numerical simulation of high-frequency hydroacoustic problems in marine media - SIMNUMAR” (supported by Xunta de Galicia, 2013-2015) and the European ROMSOC project “Mathematical modelling and numerical simulation of coupled thermoacoustic multi-layer systems for enabling particle velocity measurements in the presence of airflow” (MSCA programme, no. 765374, in collaboration with the industrial partner Microflown Technologies, 2017-2021). Currently, he is PI of the industrial doctorate project “Digital twins for fisheries with hydroacoustic data-driven techniques - DiFiHy” (Industrial Doctorate Programme funded by Galician Agency of Innovation (GAIN) in collaboration with the industrial partner Marine Instruments, 2022-2024). He also is PI of the national research project “Numerical characterisation of coastal seabed environments using hydroacoustic data-driven techniques - NumSeaHy” (2023-2024). He has supervised successfully 4 PhD thesis and 12 master projects in the Master of industrial mathematics (2010-2022). Currently, he is supervising 2 PhD thesis.

In the last decade, his research lines have focused on the application of novel numerical methods for the study of vibrations in real-world scenarios involving engineered systems, unbounded domains, or porous materials. He has also collaborated with different reserachers, such as E. Bécache, in the study of the stability of high-order schemas combined with PML layers (2006-2012). he has also collaborated with A.S. Bonnet BenDhia on the study of high contrast ratio photonic waveguide problems (2011-2013). In addition, thanks to one of my post-doctoral stays at the California Institute of Technology (CALTECH), another of the lines of reserach (2012-2014) have started working with O.P. Bruno is the development of new spectral techniques for the resolution of models with heterogeneous coefficients and numerical methods with low numerical pollution for high-frequency wave propagation problems. Recently, he has started different multidisciplinary collaborations with the data science engineer J. Tarrío (UDC) and biology researcher N. Sánchez (UVigo) since 2014 in the acoustic characterization of seabed in coastal areas and with J. Carbajo and J. Ramis (Department of Physics, University of Alicante) since 2016 analysing the characterization of porous materials using a reduced number of experimental samples. Regarding the transfer of knowledge to the productive sector, he has participated in the research team in different sucessful contracts and agreements with industrial partners in essential sectors as energy (jointly with Repsol working on floating offshore structures, automotive (jointly with Adhex Technologies to develop new acoustic engineered multilayered polymeric materials), maritime transport (jointly with i4sea computing the dynamic draft of vessels), equipment services (jointly with Microflown Technologies in the holographic characteriation of materials).

  • Mathematical modelling
  • Numerical analysis
  • Computational acoustics
  • Porous materials
  • Seabed characterization
  • Wave motion under flow




Journal articles

Book chapters

  • A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, A. Prieto.
    Finite element computation of leaky modes in stratified waveguides.
    In: Ultrasonic Wave Propagation in Non Homogeneous Media, Chapter 7 (A. Leger, M. Deschamps, eds.), Springer (2009), 73-86.
  • A. Bermúdez, L. Hervella-Nieto, A. Prieto, R. Rodríguez.
    Perfectly Matched Layers.
    In: Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods, Chapter 6 (S. Marburg, B. Nolte, eds.). Springer (2008), 167-196.

Conference proceedings

Technical reports

PhD Thesis

Comments and discussions

Divulgative publications


PhD thesis

MSc thesis


PhD thesis examiner

Journal reviewer

  • Acta Acustica united with Acustica
  • Applied Mathematics and Computation
  • Applied Numerical Mathematics
  • Applied Sciences
  • Bulletin of the Seismological Society of America
  • Computers and Mathematics with Applications
  • Computer Methods in Applied Mechanics and Engineering
  • Computer Modeling in Engineering & Sciences
  • ESAIM Mathematical Modelling and Numerical Analysis
  • IMA Journal of Applied Mathematics
  • Ingeniría y Ciencia
  • International Journal for Numerical Methods in Engineering
  • Journal of Applied Mathematics and Computing
  • Journal of Computational Physics
  • Journal of Electromagnetic Waves and Applications
  • Journal of Mathematical Analysis and Applications
  • Journal of Scientific Computing
  • Journal of Sound and Vibration
  • Mathematics of Computation
  • Mathematical Geosciences
  • Mechanics of Materials
  • Progress in Electromagnetic Research
  • Results in Applied Mathematics
  • Scientific Reports
  • SIAM Journal on Mathematical Analysis
  • SIAM Journal on Numerical Analysis
  • SIAM Journal on Scientific Computing
  • Wave Motion

American Mathematical Society reviews

  • Review of "Carstensen, Carsten; Liu, Dongjie; Alberty, Jochen Convergence of $\rm dG(1)$ in elastoplastic evolution. Numer. Math. 141 (2019), no. 3, 715-742. AMS review MR3913833
  • Review of "Rui, Hongxing; Sun, Ming A locking-free finite difference method on staggered grids for linear elasticity problems. Comput. Math. Appl. 76 (2018), no. 6, 1301-1320. AMS review MR3850651
  • Review of "Bajpai, Saumya; Pani, Amiya K. On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. J. Numer. Math. 25 (2017), no. 4, 199-228. AMS review MR3767411
  • Review of "Kobayashi, Kenta; Tsuchiya, Takuya Approximating surface areas by interpolations on triangulations. Jpn. J. Ind. Appl. Math. 34 (2017), no. 2, 509-530. AMS review MR3679397
  • Review of "Kramer, Patrick; Schratz, Katharina: Efficient time integration of the Maxwell-Klein-Gordon equation in the non-relativistic limit regime. J. Comput. Appl. Math. 316 (2017), 247--259" AMS review MR3588741
  • Review of "Chen, Jingrun; Lu, Jianfeng: Analysis of the divide-and-conquer method for electronic structure calculations. Math. Comp. 85 (2016), no. 302, 2919-2938." AMS review MR3522975
  • Review of "Grande, Jorg: Finite element discretization error analysis of a general interfacial stress functional. SIAM J. Numer. Anal. 53 (2015), no. 3, 1236-1255." AMS review MR3345936
  • Review of "Biyarov, B. N.: On Volterra relatively compact perturbations of the Laplace operator. Eurasian Math. J. 5 (2014), no. 1, 135-140." AMS review MR3382922
  • Review of "Szafraska, Anna; Macías-Díaz, J. E.: On the convergence of a nonlinear finite-difference discretization of the generalized Burgers-Fisher equation. J. Difference Equ. Appl. 21 (2015), no. 4, 374-382." AMS review MR3326278
  • Review of "Imbert, D.; McNamara, S.; Le Gonidec, Y.: Fictitious domain method for acoustic waves through a granular suspension of movable rigid spheres. J. Comput. Phys. 280 (2015), 676-691." AMS review MR3273158
  • Review of "Gillman, Adrianna; Martinsson, Per-Gunna: An O(N) algorithm for constructing the solution operator to 2D elliptic boundary value problems in the absence of body loads. Adv. Comput. Math. 40 (2014), no. 4, 773-796." AMS review MR3240213
  • Review of "Barnett, Alex H.; Hassell, Andrew: Fast computation of high-frequency Dirichlet eigenmodes via spectral flow of the interior Neumann-to-Dirichlet map. Comm. Pure Appl. Math. 67 (2014), no. 3, 351-407." AMS review MR3158571
  • Review of "Huang, Yunqing; Li, Jichun; Lin, Yanping: Finite element analysis of Maxwell's equations in dispersive lossy bi-isotropic media. Adv. Appl. Math. Mech. 5 (2013), no. 4, 494-509." AMS review MR3071302
  • Review of "Gao, Liping; Li, Xingjie; Chen, Wenbin: New energy identities and super convergence analysis of the energy conserved splitting FDTD methods for 3D Maxwell's equations. Math. Methods Appl. Sci. 36 (2013), no. 4, 440-455." AMS review MR3032357
  • Review of "Kosloff, Leonardo; Schonbek, Tomas: On the Laplacian and fractional Laplacian in an exterior domain. Adv. Differential Equations 17 (2012), no. 1-2, 173-200." AMS review MR2906733
  • Review of "Wagner, Peter: The singular terms in the fundamental matrix of crystal optics. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 467 (2011), no. 2133, 2663-2689." AMS review MR2824067
  • Review of "Pazoto, A. F.; Sepúlveda, M.; Villagrín, O. Vera: Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping. Numer. Math. 116 (2010), no. 2, 317-356." AMS review MR2672267
  • Review of "Liu, Yu-di; Zhang, Qing-hong; Lau, K. H.: Impact of the fourth-order compact difference scheme on computational properties of 3D grids in a nonhydrostatic model. Internat. J. Numer. Methods Fluids 61 (2009), no. 1, 106-118." AMS review MR2547118
  • Review of "Bratsos, A. G.: A predictor-corrector scheme for the improved Boussinesq equation. Chaos Solitons Fractals 40 (2009), no. 5, 2083-2094." AMS review MR2533206
  • Review of "Bazin, F. S. V.: Nonnormality estimation in projection-type system realization methods. Numer. Linear Algebra Appl. 15 (2008), no. 10, 969-983." AMS review MR2468660
  • Review of "Li, Jichun; Chen, Yitung: Finite element study of time-dependent Maxwell's equations in dispersive media. Numer. Methods Partial Differential Equations 24 (2008), no. 5, 1203-1221." AMS review MR2427187
  • Review of "Ji, Xia; Cai, Wei; Zhang, Pingwen: Reflection/transmission characteristics of a discontinuous Galerkin method for Maxwell's equations in dispersive inhomogeneous media. J. Comput. Math. 26 (2008), no. 3, 347-364." AMS review MR2421886
  • Review of "Ammari, Habib; Bao, Gang: Coupling of finite element and boundary element methods for the scattering by periodic chiral structures. J. Comput. Math. 26 (2008), no. 3, 261-283." AMS review MR2421880
  • Review of "Dehghan, Mehdi; Shokri, Ali: A numerical method for solving the hyperbolic telegraph equation. Numer. Methods Partial Differential Equations 24 (2008), no. 4, 1080-1093." AMS review MR2419709
  • Review of "Ganesh, M.; Hawkins, S. C.: A high-order tangential basis algorithm for electromagnetic scattering by curved surfaces. J. Comput. Phys. 227 (2008), no. 9, 4543-4562." AMS review MR2406549
  • Review of "Hesthaven, Jan S.; Kirby, Robert M.: Filtering in Legendre spectral methods. Math. Comp. 77 (2008), no. 263, 1425-1452." AMS review MR2398775


Lecture materials and teaching publications

Master courses (2012-2022)

Undergraduate courses (2011-2022)

  • Multivariable Calculus
    1st year, Graduate Studies in Data Science and Engineering (2019-2022)
  • Mathematics (in English)
    1st year, Graduate Studies in Biology (2015-2022)
  • Calculus
    1st year (Graduate Studies in Computer Science (2018-2019)
  • Mathematics I
    1st year, Graduate Studies in Chemistry (2015-2016)
  • Differential Equations
    2nd year, Graduate Studies in Electrical Engineering and Electronic & Automatic Engineering (2012-2015)
  • Algebra
    1st year, Graduate Studies in Electronic & Automatic Engineering (2012-2013)
  • Mathematics II
    1st year, Graduate Studies in Building Engineering (2011-2012)