Numerical Approximation of Partial Differential Equations is popular PDF and ePub book, written by Alfio Quarteroni in 2009-02-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Numerical Approximation of Partial Differential Equations can be Read Online from any device for your convenience.
Numerical Approximation of Partial Differential Equations Book PDF Summary
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).
Detail Book of Numerical Approximation of Partial Differential Equations PDF
- Author : Alfio Quarteroni
- Release : 11 February 2009
- Publisher : Springer Science & Business Media
- ISBN : 9783540852681
- Genre : Mathematics
- Total Page : 551 pages
- Language : English
- PDF File Size : 18,9 Mb
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