Image pepmulet
Full Name: Pep Mulet Mestre
Position: Full Professor of Mathematics
Affiliation: Departament de Matemàtiques,
  Universitat de València, Spain
Email: mulet@uv.es
ORCID: 0000-0002-7915-7726

I obtained a master's degree in Mathematics in 1989 and, after having a pre-doctoral FPU fellowship, a doctorate in Mathematical Sciences in 1992, both at the University of Valencia and with extraordinary prize. Then I obtained positions as an assistant professor at the University of Valencia in 1993, as an associate professor in 1998 and as professor in the Mathematics department of this university in 2016.

I was awarded a FPI postdoctoral fellowship to visit the University of California, Los Angeles (UCLA), between 1995 and 1996. During this period, I began with Professor Tony Chan research on issues related to image processing (noise suppression and restoration of images) by non-linear elliptic partial differential equations, whose numerical solution required solving linear and non-linear equations and optimization problems. These techniques were also applied to obtain more efficient algorithms than the classical ones in some optimization problems in the design of electronic components.

Subsequently, as of the year 2000, my topics of scientific interest were extended to various aspects of the numerical analysis of hyperbolic systems of conservation laws, especially gas dynamics, adaptive methods and non-linear interpolation. More recently these topics of interest have been extended to the mathematical modeling of biological and industrial processes, the analysis and numerical resolution of vehicular traffic models, polydisperse sedimentation and flow in porous media and other different areas of scientific computation, such as the analysis and implementation of WENO reconstructions, the design of partitions of flow for hyperbolic systems of conservation laws and the use of implicit-explicit integrators for the solution of partial differential equations with strongly degenerate and non-smooth diffusive terms by means of the method of lines. Throughout my scientific career I paid maximum attention to the implementation of his codes in high-performance multiprocessor systems.

I have more than 80 publications in prestigious journals, with 60 of these in the first quartile of their respective scientific categories. These publications have almost 3000 citations in the scientific databases collected in WOS. I have participated in twelve research projects, including four from the European community, and have been principal investigator in the MINECO projects MTM2011-27741, MTM2014-54388-P, MTM2017-83942-P, PID2020-117211GB-I00, PID2023-146836NB-I00, CIAICO/2021/227 and CIAICO/2024/089.

I have been a plenary speaker at the XIII Householder Meeting (Pontresina, Switzerland), NumHyp 2011 (Roscoff, France), at the PDE congress, optimal design and numerics 2013 (PDEODN, Benasque), at the Workshop on Numerical Analysis of Partial Differential Equations 2019 (WONAPDE19, Concepción, Chile), at the High Order Numerical Methods for Evolutionary PDE: Theory and Applications 2019 congress (HONOM2019, Madrid), at PDEODN 2019 (Capri, Italy) and 1st PICASSO meeting (Málaga)

I have supervised 8 PhD theses: 4 theses at the University of Valencia (one of them co-supervised with Professor F. Arándiga and another with Professor A. Baeza) and 4 theses at the University of Concepción, Chile (co-supervised together with Professor R. Bürger). This activity of training doctors at the University of Concepción has been carried out since 2008, thanks to the periodic visits that the I have performed to this university (more than 14 months since 2008).

I have been recognized with 6 5-year teaching periods and 5 6-year research periods.
 


Education


Academic Appointments


Research Interests


Professional Service


Selected Honors and Awards


International Collaborations


Selected Research Funding


Teaching Experience


Publications (2021–2026)

Scientific Papers

  1. Garces, Inmaculada; Mulet, Pep; Ruiz-Alvarez, Juan; Shu, Chi-Wang; Yanez, Dionisio F., A cell-average non-separable progressive multivariate WENO method for image processing applications, Mathematics And Computers In Simulation, 248 (2026)
  2. Barajas-Calonge, Juan; Burger, Raimund; Mulet, Pep; Villada, Luis Miguel, A Second-Order Invariant-Region-Preserving Scheme for a Transport-Flow Model of Polydisperse Sedimentation, Journal Of Scientific Computing, 108 (1) (2026)
  3. Baeza, Antonio; Mulet, Pep; Yanez, Dionisio F.; Zorio, David, High order space-time scheme for scalar hyperbolic conservation laws with reduced numerical domain of dependence, Mathematics And Computers In Simulation, 247 (2026)
  4. Martí, M. Carmen and Mulet, Pep and Yáñez, Dionisio F. and Zorío, David, Efficient WENO schemes for nonuniform grids with optimal accuracy, Comput. Appl. Math., 44 (2025)
  5. Barajas-Calonge, Juan and Bürger, Raimund and Mulet, Pep and Villada, Luis Miguel, Invariant-region-preserving WENO schemes for one-dimensional multispecies kinematic flow models, J. Comput. Phys., 537 (2025)
  6. Mulet, Pep, Implicit-explicit schemes for compressible Cahn-Hilliard-Navier-Stokes equations, J. Sci. Comput., 101 (2024)
  7. Mulet, Pep and Ruiz-Álvarez, Juan and Shu, Chi-Wang and Yáñez, Dionisio F., A non-separable progressive multivariate WENO-2r point value, Appl. Numer. Math., 204 (2024)
  8. Martí, M. Carmen and Mulet, Pep and Yáñez, Dionisio F. and Zorío, David, Efficient WENO schemes for nonuniform grids, J. Sci. Comput., 100 (2024)
  9. Donat, R. and Martí, M. C. and Mulet, P., WENO scheme on characteristics for the equilibrium dispersive model of chromatography with generalized Langmuir isotherms, Appl. Numer. Math., 201 (2024)
  10. Borrego-Sanchez, Ana; Zemmouche, Madjid; Carmona-Garcia, Javier; Frances-Monerris, Antonio; Mulet, Pep; Navizet, Isabelle; Roca-Sanjuan, Daniel, Multiconfigurational Quantum Chemistry Determinations of Absorption Cross Sections (σ) in the Gas Phase and Molar Extinction Coefficients (ε) in Aqueous Solution and Air-Water Interface, Journal Of Chemical Theory And Computation, 17 (6) (2021)
  11. Burger, Raimund; Gavilan, Elvis; Inzunza, Daniel; Mulet, Pep; Miguel Villada, Luis, Exploring a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires: Computation of Risk Maps for Heterogeneous Environments, Mathematics, 8 (10) (2020)
  12. Buerger, Raimund; Gavilan, Elvis; Inzunza, Daniel; Mulet, Pep; Villada, Luis Miguel, Implicit-Explicit Methods for a Convection-Diffusion-Reaction Model of the Propagation of Forest Fires, Mathematics, 8 (6) (2020)
  13. Baeza, Antonio; Burger, Raimund; Mulet, Pep; Zorio, David, AN EFFICIENT THIRD-ORDER WENO SCHEME WITH UNCONDITIONALLY OPTIMAL ACCURACY, Siam Journal On Scientific Computing, 42 (2) (2020)
  14. Baeza, Antonio and Bürger, Raimund and Mulet, Pep and Zorío, David, An efficient third-order WENO scheme with unconditionally optimal accuracy, Siam J. Sci. Comput., 42 (2020)
  15. Baeza, Antonio and Bürger, Raimund and Martí, María del Carmen and Mulet, Pep and Zorío, David, On approximate implicit Taylor methods for ordinary differential equations, Comput. Appl. Math., 39 (2020)
  16. Arandiga, Francesc; Baeza, Antonio; Cordero-Carrion, Isabel; Donat, Rosa; Marti, M. Carmen; Mulet, Pep; Yanez, Dionisio F., A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility, Mathematics, 8 (10) (2020)
  17. Coronel, Aníbal and Lagos, Richard and Mulet, Pep and Sepúlveda, Mauricio, A numerical method for an inverse problem arising in two-phase fluid flow transport through a homogeneous porous medium, Numerical Mathematics And Advanced Applications---enumath 2017, Lect. Notes Comput. Sci. Eng., Springer, Cham, 126 (2019)
  18. Baeza, Antonio; Burger, Raimund; Mulet, Pep; Zorio, David, WENO RECONSTRUCTIONS OF UNCONDITIONALLY OPTIMAL HIGH ORDER, Siam Journal On Numerical Analysis, 57 (6) (2019)
  19. Baeza, Antonio and Bürger, Raimund and Mulet, Pep and Zorío, David, WENO reconstructions of unconditionally optimal high order, Siam J. Numer. Anal., 57 (2019)
  20. Baeza, Antonio and Bürger, Raimund and Mulet, Pep and Zorío, David, On the efficient computation of smoothness indicators for a class of WENO reconstructions, J. Sci. Comput., 80 (2019)
  21. Baeza, Antonio and Bürger, Raimund and Mulet, Pep and Zorío, David, Central WENO schemes through a global average weight, J. Sci. Comput., 78 (2019)
  22. Bürger, Raimund and Inzunza, Daniel and Mulet, Pep and Villada, Luis Miguel, Implicit-explicit schemes for nonlinear nonlocal equations with a gradient flow structure in one space dimension, Numer. Methods Partial Differential Equations, 35 (2019)
  23. Bürger, Raimund and Inzunza, Daniel and Mulet, Pep and Villada, Luis M., Implicit-explicit methods for a class of nonlinear nonlocal gradient flow equations modelling collective behaviour, Appl. Numer. Math., 144 (2019)
  24. Bürger, Raimund and Chowell, Gerardo and Gavilán, Elvis and Mulet, Pep and Villada, Luis M., Numerical solution of a spatio-temporal predator-prey model with infected prey, Math. Biosci. Eng., 16 (2019)
  25. Donat, R. and Guerrero, F. and Mulet, P., Implicit-explicit WENO scheme for the equilibrium dispersive model of chromatography, Appl. Numer. Math., 123 (2018)
  26. Bürger, Raimund and Mulet, Pep and Rubio, Lihki, Implicit-explicit methods for the efficient simulation of the settling of dispersions of droplets and colloidal particles, Adv. Appl. Math. Mech., 10 (2018)
  27. Bürger, Raimund and Mulet, Pep and Rubio, Lihki and Sepúlveda, Mauricio, Linearly implicit-explicit schemes for the equilibrium dispersive model of chromatography, Appl. Math. Comput., 317 (2018)
  28. Bürger, Raimund and Chowell, Gerardo and Gavilán, Elvis and Mulet, Pep and Villada, Luis M., Numerical solution of a spatio-temporal gender-structured model for hantavirus infection in rodents, Math. Biosci. Eng., 15 (2018)
  29. Zorío, D. and Baeza, A. and Mulet, P., An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws, J. Sci. Comput., 71 (2017)
  30. Baeza, Antonio and Mulet, Pep and Zorío, David, High order extrapolation techniques for WENO finite-difference schemes applied to NACA airfoil profiles, Progress In Industrial Mathematics At ecmi 2016, Math. Ind., Springer, Cham, 26 (2017)
  31. Baeza, A. and Mulet, P. and Zorío, D., High order in space and time schemes through an approximate Lax-Wendroff procedure, Spectral And High Order Methods For Partial Differential Equations---icosahom 2016, Lect. Notes Comput. Sci. Eng., Springer, Cham, 119 (2017)
  32. Baeza, A. and Boscarino, S. and Mulet, P. and Russo, G. and Zorío, D., Approximate Taylor methods for ODEs, Comput. & Fluids, 159 (2017)
  33. Bürger, Raimund and Diehl, Stefan and Martí, M. Carmen and Mulet, Pep and Nopens, Ingmar and Torfs, Elena and Vanrolleghem, Peter A., Numerical solution of a multi-class model for batch settling in water resource recovery facilities, Appl. Math. Model., 49 (2017)
  34. Chiavassa, G. and Martí, M. C. and Mulet, P., Hybrid WENO schemes for polydisperse sedimentation models, Int. J. Comput. Math., 93 (2016)
  35. Burger, R.; Guerrero, F.; Marti, M. C.; Mulet, P., WENO Schemes for Multi-Dimensional Porous Media Flow Without Capillarity, Trends In Differential Equations And Applications, 8 (2016)
  36. Boscarino, Sebastiano and Bürger, Raimund and Mulet, Pep and Russo, Giovanni and Villada, Luis Miguel, On linearly implicit IMEX Runge-Kutta methods for degenerate convection-diffusion problems modeling polydisperse sedimentation, Bull. Braz. Math. Soc. (n.s.), 47 (2016)
  37. Baeza, A.; Mulet, P.; Zorio, D., Weighted Extrapolation Techniques for Finite Difference Methods on Complex Domains with Cartesian Meshes, Trends In Differential Equations And Applications, 8 (2016)
  38. Baeza, A. and Mulet, P. and Zorío, D., Weighted extrapolation techniques for finite difference methods on complex domains with Cartesian meshes, Trends In Differential Equations And Applications, Sema Simai Springer Ser., Springer, [cham], 8 (2016)
  39. Baeza, A. and Mulet, P. and Zorío, D., High order weighted extrapolation for boundary conditions for finite difference methods on complex domains with Cartesian meshes, J. Sci. Comput., 69 (2016)
  40. Baeza, A. and Mulet, P. and Zorío, D., High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes, J. Sci. Comput., 66 (2016)
  41. Bürger, Raimund and Mulet, Pep and Rubio, Lihki, Polynomial viscosity methods for multispecies kinematic flow models, Numer. Methods Partial Differential Equations, 32 (2016)
  42. Bürger, Raimund and Chowell, Gerardo and Mulet, Pep and Villada, Luis M., Modelling the spatial-temporal progression of the 2009 A/H1N1 influenza pandemic in Chile, Math. Biosci. Eng., 13 (2016)
  43. Bürger, R. and Guerrero, F. and Martí, M. C. and Mulet, P., WENO schemes for multi-dimensional porous media flow without capillarity, Trends In Differential Equations And Applications, Sema Simai Springer Ser., Springer, [cham], 8 (2016)
  44. Boscarino, Sebastiano and Bürger, Raimund and Mulet, Pep and Russo, Giovanni and Villada, Luis M., Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems, Siam J. Sci. Comput., 37 (2015)
  45. Arandiga, Francesc; Mulet, Pep; Yanez, Dionisio F., Non-linear Local Polynomial Regression Multiresolution Methods Using l1-norm Minimization with Application to Signal Processing, Curves And Surfaces, 9213 (2015)
  46. Aràndiga, Francesc and Mulet, Pep and Yáñez, Dionisio F., Non-linear local polynomial regression multiresolution methods using l1-norm minimization with application to signal processing, Curves And Surfaces, Lecture Notes In Comput. Sci., Springer, Cham, 9213 (2015)
  47. Aràndiga, Francesc and Mulet, Pep and Renau, Vicent, Cell average image transform algorithms with exact error control, Numer. Algorithms, 69 (2015)
  48. Vecil, Francesco; Mulet, Pep; Labrunie, Simon, WENO schemes applied to the quasi-relativistic Vlasov-Maxwell model for laser-plasma interaction, Comptes Rendus Mecanique, 342 (10-11) (2014)
  49. Martí, M. C. and Mulet, P., Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models, Appl. Numer. Math., 78 (2014)
  50. Donat, Rosa and Martí, M. Carmen and Martínez-Gavara, Anna and Mulet, Pep, Well-balanced adaptive mesh refinement for shallow water flows, J. Comput. Phys., 257 (2014)
  51. Donat, R. and Guerrero, F. and Mulet, P., Implicit-explicit methods for models for vertical equilibrium multiphase flow, Comput. Math. Appl., 68 (2014)
  52. Bürger, Raimund and Mulet, Pep and Villada, Luis M., Adaptive mesh refinement for spectral WENO schemes for efficient simulation of polydisperse sedimentation processes, Hyperbolic Problems: Theory, Numerics, Applications, Aims Ser. Appl. Math., Am. Inst. Math. Sci. (aims), Springfield, Mo, 8 (2014)
  53. Aràndiga, F. and Martí, M. C. and Mulet, P., Weights design for maximal order WENO schemes, J. Sci. Comput., 60 (2014)
  54. Mulet, Pep and Vecil, Francesco, A semi-Lagrangian AMR scheme for 2D transport problems in conservation form, J. Comput. Phys., 237 (2013)
  55. Guerrero, F. and Donat, R. and Mulet, P., Solving a model for 1-D, three-phase flow vertical equilibrium processes in a homogeneous porous medium by means of a weighted essentially non oscillatory numerical scheme, Comput. Math. Appl., 66 (2013)
  56. Donat, R. and Guerrero, F. and Mulet, P., IMEX WENO schemes for two-phase flow vertical equilibrium processes in a homogeneous porous medium, Appl. Math. Inf. Sci., 7 (2013)
  57. Bürger, Raimund and Mulet, Pep and Villada, Luis Miguel, Spectral WENO schemes with adaptive mesh refinement for models of polydisperse sedimentation, Zamm Z. Angew. Math. Mech., 93 (2013)
  58. Bürger, Raimund and Mulet, Pep and Villada, Luis M., Regularized nonlinear solvers for IMEX methods applied to diffusively corrected multispecies kinematic flow models, Siam J. Sci. Comput., 35 (2013)
  59. Bürger, Raimund and Mulet, Pep and Villada, Luis M., A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times, Adv. Appl. Math. Mech., 5 (2013)
  60. Aràndiga, Francesc and Mulet, Pep and Renau, Vicent, Lossless and near-lossless image compression based on multiresolution analysis, J. Comput. Appl. Math., 242 (2013)
  61. Baeza, Antonio and Martínez-Gavara, Anna and Mulet, Pep, Adaptation based on interpolation errors for high order mesh refinement methods applied to conservation laws, Appl. Numer. Math., 62 (2012)
  62. Bürger, Raimund and Donat, Rosa and Mulet, Pep and Vega, Carlos A., On the hyperbolicity of certain models of polydisperse sedimentation, Math. Methods Appl. Sci., 35 (2012)
  63. Aràndiga, Francesc and Mulet, Pep and Renau, Vicent, Non-separable two-dimensional weighted ENO interpolation, Appl. Numer. Math., 62 (2012)
  64. Aràndiga, Francesc and Mulet, Pep and Renau, Vicent, A fast primal-dual method for generalized total variation denoising, Appl. Math. Inf. Sci., 6 (2012)
  65. Bürger, Raimund and Donat, Rosa and Mulet, Pep and Vega, Carlos A., On the implementation of WENO schemes for a class of polydisperse sedimentation models, J. Comput. Phys., 230 (2011)
  66. Aràndiga, F. and Baeza, A. and Belda, A. M. and Mulet, P., Analysis of WENO schemes for full and global accuracy, Siam J. Numer. Anal., 49 (2011)
  67. Donat, Rosa and Mulet, Pep, A secular equation for the Jacobian matrix of certain multispecies kinematic flow models, Numer. Methods Partial Differential Equations, 26 (2010)
  68. Bürger, Raimund and Donat, Rosa and Mulet, Pep and Vega, Carlos A., Hyperbolicity analysis of polydisperse sedimentation models via a secular equation for the flux Jacobian, Siam J. Appl. Math., 70 (2010)
  69. Aràndiga, F. and Belda, A. M. and Mulet, P., Point-value WENO multiresolution applications to stable image compression, J. Sci. Comput., 43 (2010)
  70. Donat, Rosa and Mulet, Pep, Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models, J. Sci. Comput., 37 (2008)
  71. Donat, Rosa and Mulet, Pep, The two-Jacobian scheme for systems of conservation laws, Analysis And Simulation Of Fluid Dynamics, Adv. Math. Fluid Mech., Birkh"auser, Basel, (2007)
  72. Mulet, Pep and Baeza, Antonio, Highly accurate conservative finite difference schemes and adaptive mesh refinement techniques for hyperbolic systems of conservation laws, Numerical Mathematics And Advanced Applications, Springer, Berlin, (2006)
  73. Baeza, Antonio and Mulet, Pep, Adaptive mesh refinement techniques for high-order shock capturing schemes for multi-dimensional hydrodynamic simulations, Internat. J. Numer. Methods Fluids, 52 (2006)
  74. Marquina, Antonio and Mulet, Pep, A flux-split algorithm applied to conservative models for multicomponent compressible flows, J. Comput. Phys., 185 (2003)
  75. Aràndiga, F; Donat, R; Mulet, P, Adaptive interpolation of images, Signal Processing, 83 (2) (2003)
  76. Chan, Tony and Marquina, Antonio and Mulet, Pep, High-order total variation-based image restoration, Siam J. Sci. Comput., 22 (2000)
  77. Blomgren, P. and Chan, T. F. and Mulet, P. and Vese, L. and Wan, W. L., Variational PDE models and methods for image processing, Numerical Analysis 1999 (dundee), Chapman & Hall/crc Res. Notes Math., Chapman & Hall/crc, Boca Raton, Fl, 420 (2000)
  78. Chan, Tony F. and Mulet, Pep, On the convergence of the lagged diffusivity fixed point method in total variation image restoration, Siam J. Numer. Anal., 36 (1999)
  79. Chan, Tony F. and Golub, Gene H. and Mulet, Pep, A nonlinear primal-dual method for total variation-based image restoration, Siam J. Sci. Comput., 20 (1999)
  80. Chan, TF; Mulet, P, On the convergence of the lagged diffusivity fixed point method in total variation image restoration, Siam Journal On Numerical Analysis, 36 (2) (1999)
  81. Chan, TF; Golub, GH; Mulet, P, A nonlinear primal-dual method for total variation-based image restoration, Siam Journal On Scientific Computing, 20 (6) (1999)
  82. Alpert, CJ; Chan, TF; Kahng, AB; Markov, IL; Mulet, P, Faster minimization of linear wirelength for global placement, Ieee Transactions On Computer-aided Design Of Integrated Circuits And Systems, 17 (1) (1998)
  83. Chan, Tony F. and Mulet, Pep, Iterative methods for total variation image restoration, Iterative Methods In Scientific Computing (hong kong, 1995), Springer, Singapore, (1997)
  84. Blomgren, P; Chan, TF; Mulet, P, Extensions to total variation denoising, Advanced Signal Processing: Algorithms, Architectures, And Implementations Vii, 3162 (1997)
  85. Mulet, J. and Verschoren, A., Strong biradicals and sheaves, Anneaux Et Modules (colmar, 1991), Travaux En Cours, Hermann, Paris, 51 (1996)
  86. Chan, Tony F. and Golub, Gene H. and Mulet, Pep, A nonlinear primal-dual method for total variation-based image restoration, Icaos '96 (paris, 1996), Lect. Notes Control Inf. Sci., Springer, London, 219 (1996)
  87. Mulet, Josep, Dualizing bimodules, Comm. Algebra, 21 (1993)
  88. Mulet, Josep, A note on enveloping algebras, , 45 (1993)
  89. Mulet, Josep, On a theorem of Barou and Malliavin, Comm. Algebra, 20 (1992)
  90. Mulet, J. and Verschoren, A., On compatibility. II, Comm. Algebra, 20 (1992)