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Carlos María Parés Madroñal

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Publications, preprints

 

 

Selected presentations

Scientific metrics (ISI Web of Knowledge)

  • Articles: 81
  • Sum of the Times Cited: 2236
  • Average Citations per Article: 27,6
  • h-index: 25

Top cited papers

  • C. Parés. Numerical methods for nonconservative hyperbolic systems: a theoretical framework. SIAM Jour. Num. Anal., 44, 300-321, 2006. Number citations: 249 (ISI WoK), 404 (Google Scholar).
  • M.J. Castro, J.M. Gallardo, C. Parés. High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow water systems. Math. Comp. 75: 1103-1134, 2006. Number citations: 173 (ISI WoK), 259 (Google Scholar).
  • C. Parés, M.J. Castro. On the well-balance property of Roe's method for nonconservative hyperbolic systems. Applications to shallow-water systems. ESAIM-Math. Model. Num. 38 (5): 821-852, 2004. Number citations: 144 (ISI WoK), 232 (Google Scholar).
  • J.M. Gallardo, C. Parés, M.J. Castro. On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas. J. Comp. Phys. 227, 574-601, 2007. Number citations: 133 (ISI WoK), 198 (Google Scholar).
  • M.J. Castro, P.G. LeFloch, M.L. Muñoz, C. Parés. Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes. J. Comp. Phys. 227, 8107-8129, 2008. Number citations: 131 (ISI WoK), 198 (Google Scholar).
  • M.J. Castro, J. Macías, C. Parés. A Q-scheme for a class of systems of coupled conservation laws with source term. Application to a two-layer 1-D shallow water system. ESAIM-Math. Model. Num. 35 (1): 107-127, 2001. Number citations: 116 (ISI WoK), 175 (Google Scholar). Back to top

Journal articles:

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Book chapters

  • M.J. Castro, T. Morales de Luna, C. Parés. Well-Balanced Schemes and Path- Conservative Numerical Methods. Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues. Eds: C.-W. Shu, R. Abgrall. Vol. 18:131-175, Elsevier, 2017.
  • C. Parés. Path-conservative numerical schemes for nonconservative hyperbolic systems. Numerical methods for balance laws. Quaderni di Matematica, vol. 24, pp. 67-122. Eds: G. Russo, G. Puppo. Dipartimento di Matematica, Seconda Università di Napoli, 2009. Back to top

Selected referred conference proceedings

  1. N. Aïssiouene, M-O Bristeau, E. Godlewski, A. Mangeney, C. Parés, J. Sainte- Marie. Application of a Combined Finite Element-Finite Volume Method to a 2D Non-hydrostatic Shallow Water Problem. International Conference on Finite Volumes for Complex Applications (Proc. FVCA 2017), pp. 219-226. Springer, 2017.
  2. M.J. Castro, J.T. Frings. On the hyperbolicity of two-and three-layer shallow water equations. Hyperbolic Problems. Theory, Numerics and Applications (Proc. HYP2012), pp. 337-345. AIMS, 2012.
  3. M.J. Castro, E.D. Fernández, J.M. González, A. Mangeney, C. Parés. A high- order finite volume method for nonconservative problems and its application to model submarine avalanches. Integral methods in science and engineering, pp. 91-101. Birkhauser, 2010.
  4. M.L. Muñoz, C. Parés, M.J. Castro. Convergence of path-conservative numerical schemes for hyperbolic systems of balance laws. Numerical mathematics and Advanced Applications (Proc. ENUMATH 2009), pp. 675- 682. Springer, 2010.
  5. M.L. Muñoz, C. Parés. On path-conservative numerical schemes for hyperbolic systems of conservation laws with source terms. Numerical mathematics and advanced applications (Proc. ENUMATH 2007), pp. 305-314. Ed: Springer, 2008.
  6. M.J. Castro, A. Pardo, C. Parés, E. Toro. Well-balanced high-order MUSTA Schemes for non-conservative hyperbolic systems. Numerical mathematics and advanced applications (Proc. ENUMATH 2007), pp. 249-256. Ed: Springer, 2008.
  7. M.J. Castro, E.D. Fern_andez-Nieto, A.M. Ferreiro, J.A. García, C. Parés. High order two dimensional schemes for coupled shallow water-transport systems. Numerical mathematics and advanced applications (Proc. ENUMATH 2007), pp. 241-248. Ed: Springer, 2008.
  8. J.M. Gallardo, M.J. Castro, C. Parés, J.M. González. On a well-balanced high- order finite volume scheme for the shallow water equations with bottom topography and dry areas. Hyperbolic problems: theory, numerics, applications (Proc. HYP2006), pp. 247-258. Ed: Springer, 2008.
  9. C. Parés. Path-conservative numerical schemes for nonconservative hyperbolic systems. Hyperbolic problems: theory, numerics, applications (Proc. HYP2006), pp. 817-824. Ed: Springer, 2008.
  10. M.J. Castro, J.A. López, C. Parés. Analysis of some Finite Volume schemes for the Geostrophic Adjustment problem in a rotating shallow water system. Finite Volumes for Complex Applications V, pp. 273-280. Ed: ISTE, Wiley, 2008.
  11. M.J. Castro, T. Morales, C. Parés. Modeling and simulation of turbidity currents. Finite Volumes for Complex Applications V, pp. 593-600. Ed: ISTE, Wiley, 2008.
  12. M.J. Castro, J.M. Gallardo, M.L. Muñoz, C. Parés. On a general definition of the Godunov method for nonconservative hyperbolic systems. Application to linear balance laws. Numerical mathematics and advanced applications (Proc. ENUMATH 2005), pp. 662-670. Ed: Springer, 2006.
  13. Arregui, J.J. Cendán, C. Vázquez, C. Parés. Optimization of a duality method for the compressible Reynolds equation. Numerical mathematics and advanced applications (Proc. ENUMATH 2005), pp. 319-327. Ed: Springer, 2006.
  14. M.J. Castro, J.A. García, J.M. González, C. Parés. Computational time improvement for some shallow water finite volume models applying parallelization and optimized small matrix computations. Numerical mathematics and advanced applications (Proc. ENUMATH 2005), pp. 288-296. Ed: Springer, 2006.
  15. M.J. Castro, J.A. García, J.M. González, C. Parés. A parallel 2D finite volume scheme for solving the bilayer shallow-water system: modellization of water exchange at the Strait of Gibraltar. Parallel Computational Fluid Dynamics. Multidisciplinary applications, pp. 199-206. Ed: Elsevier, 2005.
  16. M.J. Castro, J.A. García, J.M. González, J. Macías, C. Parés, M.E. Vázquez. Simulation of internal waves in the Strait of Gibraltar using a two-layer Shallow Water model. Mathematical and Numerical Aspects of Wave Propagation. WAVES 2003. Ed: Springer, 2003.
  17. M.J. Castro, J.A. García, J. Macías, C. Parés, M.E. Vázquez. A two-layer numerical model for flows through channels with irregular geometry: application to the water exchange through the Strait of Gibraltar. Finite Volumes for Complex Applications, III, pp. 457-464. Ed: CNRS, 2002.
  18. Valle, C. Parés, J. Macías, M.J. Castro. Numerical resolution of a shallow water system using a duality method. Application to the Alboran Sea. Équations aux Dérivées Partielles et Applications. Articles Dédiés à J.L. Lions, pp. 759-786. Ed: Gauthier-Villars, 1998. Back to top

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