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PUBLICATIONS IN JOURNALS

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  1. Abreu, E. ; Matos, V. ; Pérez, J. ; Rodríguez-Bermúdez, P.,  A Class of Lagrangian-Eulerian Shock-Capturing Schemes for First-Order Hyperbolic Problems with Forcing Terms. Journal of Scientific Computing, v. 86, Nº 14,  p. 1-47, 2021.

  2. Rodríguez-Bermúdez, P.; Sousa, F. V. ; Lobão D. C. ; Alvarez G. B. ; Valiño-Alonso, B. . Hugoniot-Maslov Chain for Shock Waves in Buckley-Leverett Equations. Mathematical Notes (Springer-English version of Matematicheskie Zametki, Russian Academy of Sciences), v. 110, p. 738-753, 2021.

  3. Araujo, Isamara L. N. ; Rodríguez-Bermúdez, P. ,  Os Métodos de Diferenças Finitas Conservativos para Leis de Conservação Hiperbólicas. Brazilian Journal of Development,   v. 7, No. 5, p. 53269-53277, 2021.

  4. Araujo, Isamara L. N. ; Rodríguez-Bermúdez, P. ; Rodríguez-Núñez, Y.,  Numerical Study for Two-Phase Flow with Gravity in Homogeneous and Piecewise-Homogeneous Porous Media. Trends in Computational and Applied Mathematics​, v. 21, p. 21-42, 2020.

  5. Rodríguez-Bermúdez, P. ; Valiño-Alonso, B.,  Asymptotic Maslov’s method for shocks of conservation laws systems with quadratic flux. Applicable Analysis, v. 97, p. 888-901, 2018.

  6. Rodríguez-Bermúdez, P. ; Dan Marchesin. Loss of strict hyperbolicity for vertical three-phase flow in porous media.  Procedings of HYP2012 (14th International Conference on Hyperbolic Problems, Padova, Italy). Aims on Applied Mathematics: Hyperbolic Problems: Theory, Numerics, Applications. Springfield: American Institute of Mathematical Sciences (AIMS), v. 8. p. 881-888, 2014.

  7. ​ Rodríguez-Bermúdez, P. ; Dan Marchesin. Riemann Solutions for Vertical Flow of Three Phases in Porous Media: Simple cases. Journal of Hyperbolic Differential Equations,  v. 10, p. 335-370, 2013.

  8. ​Bernard,S. ; Meril, A. ; Rodríguez-Bermúdez, P. ; Valiño-Alonso, B. . Obtaining shock solutions via Maslov's theory and Colombeau algebra for conservation laws with analytical coefficients. Novi Sad Journal of Mathematics, v. 42, p. 95-116, 2012.

  9. Rodríguez-Bermúdez, P. ; Valiño-Alonso, B. . Hugoniot-Maslov chains of a shock wave in conservation law with polynomial flow. Mathematische Nachrichten, v. 280, p. 907-915, 2007.

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