Senior Research Scientist
Institute for Advanced Computer Studies
College of Computer, Mathematical and Natural Sciences
3305 A.V. Williams Building
General Research Interests:
Acoustics
- Multiple scattering problems
- Linear and nonlinear waves in complex media with relaxation, dispersion, and dissipation
- Propagation of pressure waves in disperse systems
- Self-organization of disperse systems in acoustic fields
- Dynamics of single bubbles, droplets, and solid particles in acoustic fields
- Acoustic cavitation
- Human hearing and acoustic field sensing
- Computational acoustics
Fluid Mechanics
- Multiphase flows (specifically, disperse systems)
- Dynamics of single bubbles, droplets, and solid particles
- Micro- and nanofluidics (including molecular dynamics simulations)
- Potential flows
- Stokes flows
- Vortex dynamics and vorticity
- Computational fluid dynamics
- Heat and mass transfer
- Boiling and cavitation
- Dynamics of gas hydrate containing systems
Electromagnetism
- Computational electromagnetics
- Scattering of electromagnetic waves
- Electrostatics and low-frequency EM fields
- Linear and nonlinear waves in cold plasma
Numerical Methods
- Fast multipole methods (FMM)
- Boundary element methods (BEM)
- Spectral and pseudospectral methods
- Vortex element methods (VEM)
- Iterative methods
- Multidimensional interpolation
- Numerical-analytical methods using asymptotic approaches
- Optimization
Analytical Methods
- Asymptotic methods (particularly multiscale methods)
- Spectral methods for partial differential equations
- Translation operators and fast transforms
- Qualitative analysis of dynamic systems
Computing
- High performance computing (particularly, using graphics processors and heterogeneous architectures)
- Scalable algorithms
- Multidimensional data structures
- Efficient algorithms for computer vision and machine learning