CV

CV

Education

• Ph.D. in Applied Mathematics MIT June 2015
• Thesis : Fast and Scalable Solvers for the Helmholtz Equation .
• Advisor: Laurent Demanet.
• Master in Numerical Analysis and PDE's École Polytechnique August 2010
• Internship topic: Coupling of Thermo-Hydraulic codes.
• Advisor: Annalisa Ambrosso.
• Diploma, Ingénieur Polytechnicien, École Polytechnique August 2010
• Internship topic: Spectral methods for Navier-Stokes.
• Advisor: Oscar Bruno.
• 3 years of Mathematical Engineering studies, Universidad de Chile , 2004-2006

Publications

• M. Taus, L. Zepeda-Núñez, R. Hewett, L. Demanet, Pollution-free and fast hybridizable discontinuous Galerkin solvers for the high-frequency Helmholtz equation. to appear in Proc. SEG annual meeting, Houston, October 2017.
• J. Fang, J. Qian, L. Zepeda-Núñez , H. Zhao, Learning Dominant Wave Directions For Plane Wave Methods For High-Frequency Helmholtz Equations. Accepted in Research in Mathematical Sciences.
• A. Scheuer, L. Zepeda-Núñez, R. Hewett and L. Demanet, A short note on a pipelined polarized-trace algorihtm for 3D Helmholtz, in Proc. SEG annual meeting, Dallas, October 2016.
• M. Taus, L. Zepeda-Núñez and L. Demanet, A short note on a fast and high-order Hybridazable Discontinuous Galerkin solver for the 2D high-frequency Helmholtz equation, in Proc. SEG annual meeting, Dallas, October 2016
• L. Zepeda-Núñez and H. Zhao, Fast alternating bi-directional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Submitted to SIAM Journal of Scientific Computing
• L. Zepeda-Núñez and L. Demanet, Nested domain decomposition with polariced traces for the 2D Helmholtz Equation. Submitted to SIAM Journal of Scientific Computing
• L. Zepeda-Núñez and L. Demanet, A short note on the nested-sweep polarized traces method for the 2D Helmholtz equation, in Proc. SEG annual meeting, New Orleans, October 2015.
• L. Zepeda-Núñez and L. Demanet, The method of polarized traces for the 2D Helmholtz equation, In Journal of Computational Physics
• A. Schiemenz, W. Lewis, L. Zepeda-Núñez, A. El-Sabaa, R. Coates, Improved imaging resolution using a hybrid l-BFGS - truncated Newton method in FWI: application to the Bruce 3D field data, in Proc. SEG annual meeting, Denver, October 2014.
• L. Zepeda-Núñez, R. Hewett, L. Demanet, Preconditioning the 2D Helmholtz equation with polarized traces, in Proc. SEG annual meeting, Denver, October 2014.
• L. Zepeda-Núñez, R. J. Hewett, M. Rao, L. Demanet, Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation, in Proc. SEG annual meeting, Houston, September 2013.

Teaching

• UCI, MATH 2B Single-variable Calculus II, spring 2017 : instructor
• UCI, MATH 2D Multi-variable Calculus, winter 2017 : instructor
• UCI, MATH 2A Single-variable Calculus I, fall 2016 : instructor
• UCI, MATH 3A Introduction to Linear Algebra, spring 2016 : instructor
• UCI, MATH 3A Introduction to Linear Algebra, winter 2016 : instructor
• UCI, MATH 105 LA Numerical Analysis Laboratory, fall 2015 : instructor
• MIT, 18.04 Complex variable with applications, fall 2014 : recitation instructor
• École Polytechnique, MAP431 Analyse numérique et optimisation, fall 2009 : tuteur
• Universidad de Chile, MA26B Matemáticas Aplicadas (now MA2002 ) spring 2006 : recitation instructor

Mentoring

• MIT Summer Research Program (MSRP) 2012: Served as a supervisor to Mauricio Flores (now at U. Minnesota) who worked on travel times estimation by spectral deconvolution.
• Summer Internship at ICG/MIT 2014 : Served as a supervisor to Thomas Gillis and Adrien Scheuer (now at Université Catholique de Louvain) who developed a 2D-3D fourth order fast Helmholtz solver.
• Summer Internship at ICG/MIT 2015 : Served as a supervisor to :
  • Adrien Scheuer (now at Université Catholique de Louvain and École Central de Nantes) who developed a parallel Helmholtz solver based on the method of polarized traces;
  • Leo Lébrat (now at INSA Toulouse) who developed a PETSC extension for Pysit;
  • Ian Mcbrearty (now at University fo Winsconsin-Madison) who developed an FWI code for variable density acoustic models.

Professional Organizations

• Member, Society for Industrial and Applied Mathematics (SIAM), 2011-Present.
• Member, Society of Exploration in Geophysics (SEG), 2012- Present.

Student Organizations

• President, SIAM MIT student chapter, 2014-Present
• Organizer, Single Person Applied Math Seminar, 2011-2012

Awards

• MIT Presidential Fellowship, Cambridge, MA, USA 2010
• Egide Fellowship from French government for Master’s studies, Paris, France. 2009
• Summer Undergraduate Research Fellowship (SURF) Caltech Pasadena, CA, USA. 2009
• Foundation of Ecole Polytechnique Fellowship, Paris, France. 2007
• Excellence Fellowship, Universidad de Chile, Santiago de Chile, Chile. 2005
• Entrance Excellence Fellowship, Universidad de Chile, Santiago de Chile, Chile. 2004
• Silver Medal, Ibero-American Physics Olympiads, Havana, Cuba. 2003