Numerical Approximation Of Partial Differential Equations
Download and Read Numerical Approximation Of Partial Differential Equations full books in PDF, ePUB, and Kindle. Read online free Numerical Approximation Of Partial Differential Equations ebook anywhere anytime directly on your device. We cannot guarantee that every ebooks is available!
Numerical Approximation of Partial Differential Equations
Author | : Alfio Quarteroni |
Publisher | : Springer Science & Business Media |
Total Pages | : 551 |
Release | : 2009-02-11 |
Genre | : Mathematics |
ISBN | : 3540852689 |
Download Numerical Approximation of Partial Differential Equations Book in PDF, Epub and Kindle
Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov Galerkin and generalized Galerkin), as wellas ofcollocationmethods, is devel oped for the spatial discretization. This theory is then specified to two numer ical subspace realizations of remarkable interest: the finite element method (conforming, non-conforming, mixed, hybrid) and the spectral method (Leg endre and Chebyshev expansion).
Numerical Approximation of Partial Differential Equations Related Books
Pages: 551
Pages: 541
Pages: 403
Pages: 394
Pages: 451