Research Interests (Brief Summary)

  • Hamilton-Jacobi Equations, optimal control, dynamics of the nonlinear system: numerical methods to overcome the curse of dimensionality
    e.g. Hopf-Lax solution, etc

  • Optimization algorithms: theory and applications
    e.g. coordinate descent/update algorithms, decentralized optimization over network, etc

  • Inverse problems and ill-posed problems: theory and algorithms
    e.g. inverse scattering problems, electrical impedance tomography (EIT), diffusive optical tomography (DOT), et