Numerical Models for Differential Problems

Numerical Models for Differential Problems by Alfio Quarteroni.

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Bibliographic Details
Main Author: Quarteroni, Alfio (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Milano : Springer Milan : Imprint: Springer, 2014.
Edition:2nd ed. 2014.
Series:MS&A, Modeling, Simulation and Applications, 8
Springer eBook Collection.
Subjects:
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Numerical analysis.
Mathematical models.
Applied mathematics.
Engineering mathematics.
Computer mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 A brief survey of partial differential equations
  • 2 Elements of functional analysis
  • 3 Elliptic equations
  • 4 The Galerkin finite element method for elliptic problems
  • 5 Parabolic equations
  • 6 Generation of 1D and 2D grids
  • 7 Algorithms for the solution of linear systems
  • 8 Elements of finite element programming
  • 9 The finite volume method
  • 10 Spectral methods
  • 11 Discontinuous element methods (DG and mortar)
  • 12 Diffusion-transport-reaction equations
  • 13 Finite differences for hyperbolic equations
  • 14 Finite elements and spectral methods for hyperbolic equations
  • 15 Nonlinear hyperbolic problems
  • 16 Navier-Stokes equations
  • 17 Optimal control of partial differential equations
  • 18 Domain decomposition methods
  • 19 Reduced basis approximation for parametrized partial differential equations.

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