The Gradient Discretisation Method (Paperback, 1st ed. 2018)

This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray-Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Mathematiques et Applications, 82
Release date:	August 2018
First published:	2018
Authors:	Jerome Droniou • Robert Eymard • Thierry Gallouet • Cindy Guichard • Raphaele Herbin
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	497
Edition:	1st ed. 2018
ISBN-13:	978-3-319-79041-1
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
LSN:	3-319-79041-2
Barcode:	9783319790411

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