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Numerical Approximation of Partial Differential Equations (Paperback, 1st ed. 1994. 2nd printing 2008)
Loot Price: R4,499
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Numerical Approximation of Partial Differential Equations (Paperback, 1st ed. 1994. 2nd printing 2008)
Series: Springer Series in Computational Mathematics, 23
Expected to ship within 10 - 15 working days
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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)."
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