Numerical methods for stochastic computations : a spectral method approach /

Main Author: Xiu, Dongbin, 1971-
Format: Book
Language:English
Published: Princeton, N.J. : Princeton University Press, c2010.
Subjects:
Table of Contents:
  • 1. Introduction
  • 2. Basic concepts of probability theory
  • 3. Survey of orthogonal polynomials and approximation theory
  • 4. Formulation of stochastic systems
  • 5. Generalized polynomial chaos
  • 6. Stochastic Galerkin method
  • 7. Stochastic collocation method
  • 8. Miscellaneous topics and applications
  • Appendix A. Some important orthogonal polynomials in the Askey scheme
  • Appendix B. The truncated Gaussian model G(α, β).