My research focuses on scientific modeling by mathematical and numerical analysis via development of fast, high-performance methodologies for the accurate resolution of partial differential equations (PDEs) in the study of natural phenomena. Much of my work is motivated by the fundamental desire to construct methodologies that faithfully preserve the underlying physics of computational models, and seeks to identify interdisciplinary problems in science and engineering that can provide mutual validation of both mathematical simulation and experiment.

Refinement for boundary elements [6,10]

Simulated cardiac pressure cycle [7,11]

3D guided wave interactions [1,2,5,8]


[11] Multiharmonic intrinsic frequency analysis with high-order simulations for heart-based monitoring, Niema Pahlevan and Faisal Amlani. In preparation.

[10] High-order metric-based anisotropic mesh adaptation for 3D acoustic boundary element methods, Faisal Amlani, Stéphanie Chaillat and Adrien Loseille. Preprint to be submitted (25 pages).

[9] Unraveling a new mechanism for tsunami generation due to supershear earthquakes, Harsha Bhat, Faisal Amlani, et al. Preprint to be submitted (10 pages).

[8] Transient Propagation and Scattering of Quasi-Rayleigh Waves in Plates: Quantitative comparison between Pulsed TV-Holography Measurements and FC(Gram) elastodynamic simulations, Faisal Amlani, Oscar P. Bruno, J. Carlos López-Vázquez, et al. Preprint to be submitted (21 pages).

[7] A Fourier continuation-based hemodynamics solver, Faisal Amlani and Niema Pahlevan. Submitted (25 pages).

[6] An efficient preconditioner for adaptive fast boundary element methods to model time-harmonic 3D wave propagation, Faisal Amlani, Stéphanie Chaillat and Adrien Loseille. In press for Computer Methods in Applied Mechanics and Engineering (25 pages).

[5] An FC-based spectral solver for elastodynamic problems in general three-dimensional domains, Faisal Amlani and Oscar P. Bruno, Journal of Computational Physics 307 (2016, 21 pages).

[4] Dynamically controllable force-generating system, Faisal Amlani, Manuel Lombardini and Jon Miller, US and World Patents US20160327073 and WO2016179405 (2015, 33 pages).

[3] A physiologically relevant, simple outflow boundary model for truncated vasculature, Niema Pahlevan, Faisal Amlani, et al, Annals of Biomedical Engineering 39,5 (2011, 12 pages).

[2] Numerical modeling and measurement by pulsed television holography of ultrasonic displacement maps in plates with through-thickness defects, J. Carlos López-Vázquez, Faisal Amlani, et al, Optical Engineering 49,9 (2010, 10 pages).

[1] Modelling for characterizing defects in plates using two-dimensional maps of instantaneous ultrasonic out-of-plane displacement obtained by pulsed TV-holography, J. Carlos López-Vázquez, Faisal Amlani, et al, Proceedings SPIE 7389 (2009, 12 pages).


On boundary element methods

  1. [10] Contributed at IABEM 2018, Sorbonne Université (Jussieu), France (06/2018)
  2. [9] Invited at JJC Ondes (journées jeunes chercheurs), Sorbonne Université (Jussieu), France (11/2017)
  3. [8] Contributed at the Paris-London BEM Workshop 2017, University College London (UCL), UK (06/2017)
  4. [7] Contributed at the 5th BEM on the Saar, Universität des Saarlandes, Germany (05/2017)
  5. [6] Contributed at WAVES 2017, University of Minnesota, USA (05/2017)

On Fourier continuation methods

  1. [5] Contributed at WAVES 2017, University of Minnesota, USA (05/2017)
  2. [4] Invited seminar in Seismology, Institut de Physique du Globe de Paris, France (11/2015)

On other topics

  1. [3] Invited lecture on delay differential equations with clinical application in respitory physiology, Dept. of Medical Engineering, California Institute of Technology (Caltech), USA (01/2015)
  2. [2] Contributed presentation on optimized sensor location for advection-diffusion equations, NSF-VIGRE Symposium 2006, Rice University, USA (04/2006)
  3. [1] Invited joint talk on flux corrections for the Boltzmann equation, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, USA (08/2004)


École des Ponts, France

  1. [6] Outils mathématiques pour l'ingénieur (calcul intégral et différentiel) (petite classe: cours + TD) (2018)

California Institute of Technology (Caltech), USA

  1. [5] Complex analysis (lecturing, writing course materials, managing teaching assistants and sections) (2007-2013)
  2. [4] Ordinary differential equations and dynamical systems (idem) (2007-2013)
  3. [3] Partial differential equations (idem) (2007-2013)

Rice University and Baylor College of Medicine, USA

  1. [2] Theoretical neuroscience (writing solutions, grading and delivering tutorials) (2005)
  2. [1] Differential equations (idem) (2004-2005)