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Applied Analysis Group

  • Sobolev orthogonal polynomials
  • Matrix polynomials
  • Orthogonal polynomials variants and multiortogonales
  • Rational approach and Fourier
  • Complex analysis and operator theory
  • Applications quadratures rational and simultaneous integration
  • Applications physical
  • Applications systems theory

Group's website

Complex Systems Interdisciplinary Group (GISC)

  • Statistical mechanics and nonlinear dynamics
  • Materials science and nanostructures
  • Microfluidics and adsorption fluids structured substrates
  • Ecology and Evolution theoretical
  • Dynamics of socio-economic systems and game theory
  • Theoretical biology

Group's website

Applied Mathematics Control Systems And Signals

Group's website 

Differential Equations and Applications

  • Elliptic and parabolic partial differential equations
  • Numerical methods for partial differential equations
  • Ordinary differential equations

Group's website

Numerical Methods and Applications

  • Numerical solution of PDEs
  • Monte Carlo methods for PDEs
  • Numerical stochastic calculus
  • Approximation theory
  • Reverse problems
  • Imaging
  • Wave propagation
  • Machine learning

Group's website

Modeling, Numerical Simulation and Industrial Mathematics

  • Nonlinear electronic transport in nanostructures
  • Nonequilibrium statistical mechanics
  • Field theories and Statistical Mechanics
  • Applications to biological systems. Blood vessel dynamics. Collective motion of cells in tissues. Collective motion: swarms, flocks. Biofilms
  • Biomedicine: Age related macular degeneration, cancer
  • Computational materials: Defects in solids and multiscale simulations. Graphene. Materials for nuclear fusion. Molecular dynamics, Monte Carlo, density functional theory
  • Mathematical Physics. General Relativity. Combinatorics
  • Astrodynamics and control of artificial satellites

Group's website

Outputs (UC3M Research Portal)

Articles

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Book chapters

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Books

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Conference contributions

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Projects

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Working papers

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