Numerical Models for Differential Problems (MS&A Book 16) 3rd Edition Quarteroni 3319493167 9783319493169

This completed downloadable of Numerical Models for Differential Problems (MS&A Book 16) 3rd Edition Quarteroni

Instant downloaded Numerical Models for Differential Problems (MS&A Book 16) 3rd Edition Quarteroni pdf docx epub after payment.

Product details:

• ISBN 10: 3319493167
• ISBN 13: 9783319493169
• Author: Quarteroni

In this text, we introduce the basic concepts for the numerical modeling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods.

Table of contents:

Chapter 1: A brief survey of partial differential equations

Chapter 2: Elements of functional analysis

Chapter 3: Elliptic equations

Chapter 4: The Galerkin finite element method for elliptic problems

Chapter 5: Parabolic equations

Chapter 6: Generation of 1D and 2D grids

Chapter 7: Algorithms for the solution of linear systems

Chapter 8: Elements of finite element programming

Chapter 9: The finite volume method

Chapter 10: Spectral methods

Chapter 11: Isogeometric analysis

Chapter 12: Discontinuous element methods (DG and mortar methods)

Chapter 13: Diffusion-transport-reaction equations

Chapter 14: Finite differences for hyperbolic equations

Chapter 15: Finite elements and spectral methods for hyperbolic equations

Chapter 16: Nonlinear hyperbolic problems

Chapter 17: Navier-Stokes equations

Chapter 18: Optimal control of partial differential equations

Chapter 19: Domain decomposition methods

People also search:

cod numerical models

noaa numerical models

analytical vs numerical models

examples of numerical models

numerical models of surface tension