sample of publications

• articles 

  • Pseudospectral versus Galerkin methods: Fourth order equations.  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS.  413:1-16. 2022
  • Spatial competition strategies: The case of two refuges.  Communications in Nonlinear Science and Numerical Simulation.  106:1-18. 2021
  • Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions.  COMPUTERS & MATHEMATICS WITH APPLICATIONS.  89:1-19. 2021
  • Nonlinear finite elements: Sub- and supersolutions for the heterogeneous logistic equation.  Journal of Differential Equations.  278:189-219. 2021
  • A collocation-spectral method to solve the bi-dimensional degenerate diffusive logistic equation with spatial heterogeneities in circular domain.  Rendiconti dell'Istituto di Matematica dell'Universita di Trieste.  52:311-344. 2020
  • Global bifurcation diagrams of one node solutions in a class of degenerate boundary value problems.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B.  22:923-946. 2017
  • Spiraling bifurcation diagrams in superlinear indefinite problems.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  35:1561-1588. 2015
  • A nonlocal problem from conservation biology.  SIAM JOURNAL ON MATHEMATICAL ANALYSIS.  46:4035-4059. 2014
  • Intricate dynamics caused by facilitation in competitive environments within polluted habitat patches.  EUROPEAN JOURNAL OF APPLIED MATHEMATICS.  25:213-229. 2014
  • Intricate bifurcation diagrams for a class of one-dimensional superlinear indefinite problems of interest in population dynamics.  DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS.  515-524. 2013
  • The uniqueness of the linearly stable positive solution for a class of superlinear indefinite problems with nonhomogeneous boundary conditions.  Journal of Differential Equations.  255:503-523. 2013

• conference contributions 

  • Polar differentiation matrices and applications.  343-343. 2018
  • The role of pathfollowing in nonlinear elliptic problems.  62-62. 2018
  • A collocation spectral method to solve the heterogeneous logistic equation in circular domains 2014
  • Complex dynamics caused by facilitation in polluted landscapes 2012
  • Theoretical and numerical analysis of complex bifurcation diagrams related to a class of superlinear indefinite problems 2012
  • Competition and Cooperation 2008