Spectral Methods for Uncertainty Quantification

With Applications to Computational Fluid Dynamics

Authors:

ISBN: 978-90-481-3519-6 (Print) 978-90-481-3520-2 (Online)

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVI

  2. No Access

    Book Chapter

    Pages 1-13

    Introduction: Uncertainty Quantification and Propagation

  3. Basic Formulations

    1. Front Matter

      Pages 15-15

    2. No Access

      Book Chapter

      Pages 17-44

      Spectral Expansions

    3. No Access

      Book Chapter

      Pages 45-72

      Non-intrusive Methods

    4. No Access

      Book Chapter

      Pages 73-105

      Galerkin Methods

    5. No Access

      Book Chapter

      Pages 107-156

      Detailed Elementary Applications

    6. No Access

      Book Chapter

      Pages 157-283

      Application to Navier-Stokes Equations

  4. Advanced topics

    1. Front Matter

      Pages 285-285

    2. No Access

      Book Chapter

      Pages 287-341

      Solvers for Stochastic Galerkin Problems

    3. No Access

      Book Chapter

      Pages 343-389

      Wavelet and Multiresolution Analysis Schemes

    4. No Access

      Book Chapter

      Pages 391-476

      Adaptive Methods

    5. No Access

      Book Chapter

      Pages 477-481

      Epilogue

  5. Back Matter

    Pages 483-536