Research

The areas of my research activities are the following ones:

  • Path Planning for Robotic systems
  • Developing CAD tools for Integrated circuit design and simulation
  • Approximate solution methods for solving nonlinear differential equations of different kind: differential-algebraic, ordinary, partial, among others.
  • General Homotopy method for solving nonlinear differential equations.
  • Direct Padé method
  • Homotopy continuation Methods for solving nonlinear algebraic equations.
  • Homotopy perturbation
  • Rational homotopy perturbation method.
  • Modified Taylor method for solving differential equations.
  • Wireless energy transfer (power transfer).
  • Numerical Continuation Methods or path following
  • Symbolic analysis of nonlinea
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