Volume 2 2009

Numerical Models for Differential Problems

Authors:

ISBN: 978-88-470-1070-3 (Print) 978-88-470-1071-0 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XVI

  2. No Access

    Book Chapter

    Pages 1-10

    A brief survey on partial differential equations

  3. No Access

    Book Chapter

    Pages 11-29

    Elements of functional analysis

  4. No Access

    Book Chapter

    Pages 31-59

    Elliptic equations

  5. No Access

    Book Chapter

    Pages 61-118

    The Galerkin finite element method for elliptic problems

  6. No Access

    Book Chapter

    Pages 119-138

    Parabolic equations

  7. No Access

    Book Chapter

    Pages 139-157

    Generation of 1D and 2D grids

  8. No Access

    Book Chapter

    Pages 159-172

    Algorithms for the solution of linear systems

  9. No Access

    Book Chapter

    Pages 173-216

    Elements of finite element programming

  10. No Access

    Book Chapter

    Pages 217-226

    The finite volume method

  11. No Access

    Book Chapter

    Pages 227-269

    Spectral methods

  12. No Access

    Book Chapter

    Pages 271-312

    Diffusion-transport-reaction equations

  13. No Access

    Book Chapter

    Pages 313-344

    Finite differences for hyperbolic equations

  14. No Access

    Book Chapter

    Pages 345-382

    Finite elements and spectral methods for hyperbolic equations

  15. No Access

    Book Chapter

    Pages 383-400

    Nonlinear hyperbolic problems

  16. No Access

    Book Chapter

    Pages 401-455

    Navier-Stokes equations

  17. No Access

    Book Chapter

    Pages 457-500

    Optimal control of partial differential equations

  18. No Access

    Book Chapter

    Pages 501-546

    Domain decomposition methods

  19. No Access

    Book Chapter

    Pages 547-579

    Reduced basis approximation for parametrized partial differential equations

  20. Back Matter

    Pages 581-601