The Gradient Discretisation Method
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 provide...
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | Mathématiques et Applications,
82 |
| Témata: | |
| ISBN: | 9783319790428 |
| ISSN: | 1154-483X ; |
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| LEADER | 00000nam a22000005i 4500 | ||
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| 003 | SK-BrCVT | ||
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| 007 | cr nn 008mamaa | ||
| 008 | 180731s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319790428 | ||
| 024 | 7 | |a 10.1007/978-3-319-79042-8 |2 doi | |
| 035 | |a CVTIDW09827 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Droniou, Jérôme. |4 aut | |
| 245 | 1 | 4 | |a The Gradient Discretisation Method |h [electronic resource] / |c by Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XXIV, 497 p. 33 illus., 14 illus. in color. |b online resource. | ||
| 490 | 1 | |a Mathématiques et Applications, |x 1154-483X ; |v 82 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a Part I Elliptic problems -- Part II Parabolic problems -- Part III Examples of gradient discretisation methods -- Part IV Appendix. | |
| 516 | |a text file PDF | ||
| 520 | |a 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.span style="font-family:" ms="" mincho";mso-bidi-font-family:="" 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="" (discrete="" aubin-simon,="" discontinuous="" ascoli-arzela),="" goes="" beyond="" gdm,="" making="" them="" potentially="" applicable="" numerical="" schemes="" not="" (yet)="" known="" fit="" into="" this="" framework.span style="font-family:" ms="" mincho";mso-bidi-font-family:="" this="" monograph="" is="" intended="" for="" graduate="" students,="" researchers="" and="" experts="" in="" the="" field="" of="" numerical="" analysis="" partial="" differential="" equations. | ||
| 650 | 0 | |a Computer mathematics. | |
| 650 | 0 | |a Partial differential equations. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-79042-8 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE07107 | ||
| 919 | |a 978-3-319-79042-8 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 273756 |d 273756 | ||