Research

1. ISI Publications (2010 - 2015)

2. Conference Papers (2010 - 2015)

 

Key research directions:

  • Topological algebra, geometric algebra and related problems.
  • Partial differential equations, analytical geometry, differential geometry, complex analysis in one and several variables, dynamical systems, functional analysis.
  • Effective sequential and parallel methods for ordinary differential equations, partial differential equations, differential-algebraic equations and difference equations; numerical computation of spectral intervals and robust stability investigation of differential and difference equations; wavelets and applications; optimazation theory and numerical methods for convex optimization, discrete optimization, geometric optimization, stochastic optimization, variational inequalities and equilibrium problems, parallel and distributed computing for large scale optimization and optimal control problems.
  • Qualitative and quantitative problems (control theory, stability theory, ergodic, dynamical systems) for ordinary differential equations and partial differential equations, stochastic differential equations, dynamic equations on time scales, evolution equations… and their applications.
  • Theory of stochastic operators, stochastic computing and stochastic semigroups, limit theorems for random fields, stochastic branching processes, bayesian statistics and experimental design.
  • Waves in elastic media, static and dynamic analysis of composite plate and shell structures, hydrodynamic stability theory, vibration and control of structures.
  • Natural language processing, text data mining, information search, information systems, cryptography and data security, ill-posed problems, optimization problems, high performance computing, image processing: noise cancellation, object recognition, symbol detection, sparse representation.