Übersicht			Auf mobile öffnen

Lieferstatus:	Auf Bestellung (Lieferzeit unbekannt)
Veröffentlichung:	August 2016
Genre:	Schulbücher
	Analysis / Applications of Mathematics / Applied mathematics / B / Computational Mathematics and Numerical Analysis / Computer mathematics / Differential calculus & equations / Engineering mathematics / Mathematical and Computational Engineering / Mathematical and Computational Engineering Applications / Mathematical physics / Mathematics and Statistics / Maths for engineers / Numerical and Computational Physics, Simulation / Partial Differential Equations / Physics / Theoretical, Mathematical and Computational Physics
ISBN:	9788847058552
EAN-Code:	9788847058552
Verlag:	Springer Nature EN
Einband:	Kartoniert
Sprache:	English
Serie:	#02 - SEMA SIMAI Springer Series
Dimensionen:	H 235 mm / B 155 mm / D
Gewicht:	5504 gr
Seiten:	341
Zus. Info:	Previously published in hardcover
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curves being deformed by local averaging steps in Godunov-type schemes, low-order errors propagating along expanding characteristics after having hit a discontinuity, exponential amplification of truncation errors in the presence of accretive source terms... This book aims at presenting rigorous derivations of different, sometimes called well-balanced, numerical schemes which succeed in reconciling high accuracy with a stronger robustness even in the aforementioned accretive contexts. It is divided into two parts: one dealing with hyperbolic systems of balance laws, such as arising from quasi-one dimensional nozzle flow computations, multiphase WKB approximation of linear Schrödinger equations, or gravitational Navier-Stokes systems. Stability results for viscosity solutions of onedimensional balance laws are sketched. The other being entirely devoted to the treatment of weakly nonlinear kinetic equations in the discrete ordinate approximation, such as the ones of radiative transfer, chemotaxis dynamics, semiconductor conduction, spray dynamics of linearized Boltzmann models. "Caseology" is one of the main techniques used in these derivations. Lagrangian techniques for filtration equationsare evoked too. Two-dimensional methods are studied in the context of non-degenerate semiconductor models.