Research / Publications

Latest Papers

  • From structured data to evolution PDE. Submitted.
  • Galerkin Balanced Normalized Gradient Flow Method for the Computation of the Point Spectrum for Nonlinear Dirac Equation. Preparation with Y. Cai (Beijing/CSRC)
  • L. Chai(UCSB), E. Lorin, X. Yang(UCSB). Frozen gaussian approximation for Dirac equation.  Preparation.
  • On the rate of convergence of Schwarz waveform relaxation methods for the time-dependent Schroedinger equation. Submitted.
  • F. Fillion-Gourdeau(INRS), E. Lorin. Digital quantum algorithms for nonlinear first order  hyperbolic equations. Preparation.
  • F. Fillion-Gourdeau, E. Lorin. Simple dbtigital quantum algorithm for linear first order  hyperbolic systems. Submitted.

 

Research Topics

  • Numerical Analysis
  • Partial Differential Equations
  • Mathematical Modeling
  • Mathematical Physics
  • Computational Physics
  • Laser Physics, Filamentation
  • Nonlinear Optics
  • Computational Fluid Dynamics
  • High Performance Computing (C++/MPI)

Publications Research Report

Research Papers via ResearchGate

Current Research Projects

  • Domain decomposition methods for linear&nonlinear Schroedinger equation
  • Mathematical modeling and simulation in nonperturbative nonlinear optics
  • Laser filamentation
  • Maxwell-Schroedinger equations, Dirac equation
  • Numerical analysis for nonconservative nonlinear hyperbolic systems

Current and past collaborators

  • F. Alouges (Polytechnique, France), C. Anderson (UCLA, USA), X. Antoine (IECL, France), A. Bandrauk (Sherbrooke, Canada), A. BenHajAli (Bombardier, Canada), L. Berge (CEA, France), N. Chalmers (Waterloo, Canada), F. de Vuyst (ENS Cachan, France), F. Fillion-Gourdeau (INRS, Canada), JM Ghidaglia (ENS Cachan, France), J.H. Jung (SUNY Buffalo, USA), S. Labbe (Grenoble I, France) P. Lafitte (ECP, France), M. Laforest (Polytechnique Montreal, Canada), Y. Saad (Minneapolis, USA), A. Soulaimani (ETS, Canada), X. Yang (UCSB, USA),…
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