Titlebook: Numerical Approximation of Partial Differential Equations; Alfio Quarteroni,Alberto Valli Book 19941st edition Springer-Verlag Berlin Heid

毗鄰

sesJacques Barzun, the noted Columbia University historian of ideas and culture, once described the feeling that some people experience when they come upon a new reference book. He wrote: “Hand over to one of us a new Dictionary, “Companion,” or Guide, and our eyes first light up and then turn dream

Silent-Ischemia

obsolete

Numerical Solution of Linear Systemshods that are applied to systems of general form. For a more complete presentation we refer the reader to the literature that we will quote throughout this Chapter. Special techniques for systems arising from the discretization of partial differential equations are discussed in this book for each sp

GEM

Finite Element Approximationtence of a triangulation of ω, the construction of a finite dimensional subspace consisting of piecewise-polynomials, and the existence of a basis of functions having small support. Then, we introduce the interpolation operator and we estimate the interpolation error. Some final remarks will be devo

分發(fā)

Polynomial Approximation present some properties of both Chebyshev and Legendre polynomials, concerning projection and interpolation processes. These will provide the background of spectral methods for the approximation of partial differential equations that are considered throughout Part II and III of this book.

火花

hangdog

廣口瓶

The Unsteady Navier-Stokes Problemcounterpart of the Navier-Stokes problem (10.1.1)-(10.1.3), that reads . where .=.(., x) and .=.(x) are given data, ω is an open bounded domain of ?., with .=2,3, and ηω is its boundary. One remarkable feature of (13.1) is the absence of an equation containing .. Indeed, in (13.1) the pressure . app

強(qiáng)化

Hyperbolic Problemse problems is the fact that perturbations propagate with finite speed. Another characterizing aspect is that the boundary treatment is not as simple as that for elliptic or parabolic equations. According to the sign of the equation coefficients, the inflow and outflow boundary regions determine, fro

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