Description
Numerical Models for Differential Problems (3rd Ed., 3rd ed. 2017)
MS&A Series, Vol. 16
Author: Quarteroni Alfio
Language: EnglishApproximative price 105.49 €
In Print (Delivery period: 15 days).
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Description
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1 A brief survey of partial differential equations.- 2 Elements of functional analysis.- 3 Elliptic equations.- 4 The Galerkin finite element method for elliptic problems.- 5 Parabolic equations.- 6 Generation of 1D and 2D grids.- 7 Algorithms for the solution of linear systems.- 8 Elements of finite element programming.- 9 The finite volume method.- 10 Spectral methods.- 11 Isogeometric analysis.- 12 Discontinuous element methods (D Gandmortar).- 13 Diffusion-transport-reaction equations.- 14 Finite differences for hyperbolic equations.- 15 Finite elements and spectral methods for hyperbolic equations.- 16 Nonlinear hyperbolic problems.- 17 Navier-Stokes equations.- 18 Optimal control of partial differential equations.- 19 Domain decomposition methods.- 20 Reduced basis approximation for parametrized partial differential equations.- References
Author faces here the basic concepts for the numerical modeling of partial differential equations
An outstanding reference work in this branch of applied mathematics
In particular, the author discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs