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Courses
  • AAMI
    Algorithms of Applied Mathematics I

  • ILA
    Introduction to Linear Algebra

  • PMAM
    Principles and Methods of Applied Mathematics

  • AAMII
    Algorithms of Applied Mathematics II

  • ODEST
    Ordinary Differential Equations and Stability Theory

  • CII
    Calculus II

  • AAA
    Advanced Applied Analysis

  • TCV
    Theory of Complex Variables

  • NA
    Numerical Analysis

  • ILA
    Inroduction to Linear Algebra

  • MAE
    Mathematical Analysis for Engineers

  • TP
    Theory of Probability

  • CI
    Calculus I

  • ASP
    Applied Stochastic Processes

Grants
  • Funding agency logo
    Network Adaptability from WMD Disruption and Cascading Failures

    Principal Investigator (PI)

    2011

    $190.2K
  • Funding agency logo
    Frontiers in Nonlinear Waves

    Co-Investigator (COI)

    2010

    $40.0K
  • Funding agency logo
    Asymptomatic Performance Error Correcting Codes

    Principal Investigator (PI)

    2008

    $88.6K
Publications (35)
Recent
  • Eight-stage pseudo-symplectic Runge-Kutta methods of order (4, 8)

    2023

  • span style= color:#222222;font-size:small; Physics informed machine learning with smoothed particle /span span style= color:#222222;font-size:small; hydrodynamics: Hierarchy of reduced Lagrangian models of turbulence /span

    2022

  • Lagrangian Large Eddy Simulations via Physics Informed Machine Learning

    2022

  • Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property

    2022

  • Finding weak spots in LDPC codes with iterative decoding

    2021

  • Quantum properties of charged ferroelectric domain walls

    2015

  • Analysis of spatial correlations in a model two-dimensional liquid through eigenvalues and eigenvectors of atomic-level stress matrices

    2015

  • Polytope of correct (linear programming) decoding and low-weight pseudo-codewords

    2011

  • Exact and efficient algorithm to discover extreme stochastic events in wind generation over transmission Power Grids

    2011

  • Predicting failures in power grids: The case of static overloads

    2011

  • New bisoliton solutions in dispersion managed systems

    2009

  • Searching for low weight pseudo-codewords

    2007

  • Rain initiation time in turbulent warm clouds

    2006

  • Instanton analysis of low-density parity-check codes in the error-floor regime

    2006

  • Semiclassical scattering on conical intersections

    2005

  • Coulomb broadening of the peak of electromagnetically induced transparency in plasma

    2004

  • Growth of density inhomogeneities in a flow of wave turbulence

    2004

  • Acceleration of rain initiation by cloud turbulence

    2002

  • Role of interaction in causing errors in optical soliton transmission

    2002

  • Calculation of non-Gaussian statistics and bit error rate degradation due to pulse-to-pulse interaction

    2002

  • Laplacian growth with separately controlled noise and anisotropy

    2001

  • Resonant peak in the output spectral profile of an ionic anti-Stokes Raman laser

    2001

  • Large negative velocity gradients in Burgers turbulence

    2001

  • Statistics of interacting optical solitons

    2001

  • Detuning characteristics of ionic anti-Stokes Raman laser

    2001

  • Resonant peak in detuning curve of ionic anti-Stokes Raman laser

    2000

  • Nonlinear Resonances Free of Field and Doppler Broadenings

    2000

  • Passive scalar in a large-scale velocity field

    1999

  • Autler-Townes doublet probed by strong field

    1999

  • Power broadening of a diffusion resonance

    1998

  • Diffusion-broadened line shape near a turning point

    1998

  • Diffusion-broadened lineshape under a strong field

    1997

  • Narrowing of saturation resonance in collisional plasma

    1996

  • Narrowing of the Bennett hole in collisional plasma

    1995

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