{"product_id":"9783319790411","title":"Mathématiques et Applications","description":"\u003ch1\u003eMathématiques et Applications\u003c\/h1\u003e \u003ch2\u003eDroniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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.\u003cspan style=\"\" ms=\"\" mincho the=\"\" core=\"\" properties=\"\" and=\"\" analytical=\"\" tools=\"\" required=\"\" to=\"\" work=\"\" within=\"\" gdm=\"\" are=\"\" stressed it=\"\" is=\"\" shown=\"\" that=\"\" scheme=\"\" convergence=\"\" can=\"\" often=\"\" be=\"\" established=\"\" by=\"\" verifying=\"\" a=\"\" small=\"\" number=\"\" of=\"\" properties.=\"\" scope=\"\" some=\"\" featured=\"\" techniques=\"\" results such=\"\" as=\"\" time-space=\"\" compactness=\"\" theorems=\"\" aubin discontinuous=\"\" ascoli goes=\"\" beyond=\"\" making=\"\" them=\"\" potentially=\"\" applicable=\"\" numerical=\"\" schemes=\"\" not=\"\" known=\"\" fit=\"\" into=\"\" this=\"\" framework. monograph=\"\" intended=\"\" for=\"\" graduate=\"\" students researchers=\"\" experts=\"\" in=\"\" field=\"\" analysis=\"\" partial=\"\" differential=\"\" equations.\u003e\u003cp\u003e\u003ci\u003e\u003ci\u003e\u003ci\u003e\u003ci\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/i\u003e\u003c\/i\u003e\u003c\/i\u003e\u003c\/i\u003e\u003c\/p\u003e\n\u003cp\u003e\u003c\/p\u003e\u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2018-08-11\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319790411\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-79042-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 497\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45382479609996,"sku":"9783319790411","price":58.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319790411.jpg?v=1775744170","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319790411","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}