Faculty Directory

Contact Information

Office:
Salisbury Laboratories, 405E
mwu@wpi.edu

Minghao W. Rostami

My research interests lie in linear stability analysis for large-scale dynamical systems and numerical methods for the linear systems arising from it. Linear stability analysis is the study of how steady states of a dynamical system respond to small perturbations. If a steady state is insensitive to small perturbations, then it is stable; otherwise, it is unstable. Stability is important for the practical use of a dynamical system because perturbations exist extensively in real life. Linear stability analysis for largescale dynamical systems requires solving large eigenvalue problems, which in turn entails solving large Lyapunov equations and underlying discrete partial differential equations.

Research Interests

  • Linear Stability Analysis
  • Bifurcation Theory
  • Eigenvalue Solvers

Education

  • PhD, University of Maryland, College Park, 2012
  • BS, South China University of Technology, 2007

Featured Publications

  • “Efficient iterative algorithms for linear stability analysis of incompressible flows”, with H. Elman, Tech. Report CS-TR-5028, Department of Computer Science, University of Maryland, College Park, 2013. Submitted.
  • “Lyapunov inverse iteration for computing a few rightmost eigenvalues of large generalized eigenvalues problems”, with H. Elman, Tech. Report TR-5009, Department of Computer Science, University of Maryland, College Park, 2012. To appear in SIAM J. Matrix Anal. Appl.
  • “Lyapunov inverse iteration for stability analysis using computational fluid dynamics”, with S. Timme, K. Badcock and A. Spence, AIAA Paper 2012-1563, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 2012.
  • “Lyapunov inverse iteration for identifying Hopf bifurcations in models of incompressi

Professional Highlights

  • Finalist of the 4th BGCE (the Bavarian Graduate School of Computational Engineering) Student Paper Prize, 2013
  • Winner of the Student Paper Competition at the 12th Copper Mountain Conference on Iterative Methods, 2012
  • Jacob K. Goldhaber Travel Award, University of Maryland, College Park, 2012
  • Academic Excellence Award, University of Maryland, College Park, 2007
 
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