Hybrid perturbation-Polynomial Chaos approaches to the random algebraic eigenvalue problem

This publication has 38 references indexed in Scilit:

• The stochastic finite element method: Past, present and future
  Computer Methods in Applied Mechanics and Engineering, 2009
• Initialization Strategies in Simulation-Based SFE Eigenvalue Analysis
  Computer-Aided Civil and Infrastructure Engineering, 2005
• An approximate solution scheme for the algebraic random eigenvalue problem
  Journal of Sound and Vibration, 2003
• Iterative modal perturbation and reanalysis of eigenvalue problem
  Communications in Numerical Methods in Engineering, 2003
• Random eigenvalue problems for large systems
  Computers & Structures, 2002
• Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties
  Computer Methods in Applied Mechanics and Engineering, 2001
• Comparison of several eigenvalue reanalysis methods for modified structures
  Structural and Multidisciplinary Optimization, 2000
• Eigensolution reanalysis of modified structures using perturbations and Rayleigh quotients
  Communications in Numerical Methods in Engineering, 1994
• Higher order eigenpair perturbations
  AIAA Journal, 1992
• Rates of change of eigenvalues and eigenvectors.
  AIAA Journal, 1968