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##### Courses

- AAMIAlgorithms of Applied Mathematics I
- ILAIntroduction to Linear Algebra
- PMAMPrinciples and Methods of Applied Mathematics
- AAMIIAlgorithms of Applied Mathematics II
- ODESTOrdinary Differential Equations and Stability Theory
- CIICalculus II
- AAAAdvanced Applied Analysis
- TCVTheory of Complex Variables
- NANumerical Analysis
- ILAInroduction to Linear Algebra
- MAEMathematical Analysis for Engineers
- TPTheory of Probability
- CICalculus I
- ASPApplied Stochastic Processes

##### Grants

- Network Adaptability from WMD Disruption and Cascading Failures
Principal Investigator (PI)

2011

###### $190.2K

- Frontiers in Nonlinear Waves
Co-Investigator (COI)

2010

###### $40.0K

- 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

- An efficient pseudocodeword search algorithm for linear programming decoding of LDPC codes
2008

- 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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