0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Algebra

Buy Now

Computing Qualitatively Correct Approximations of Balance Laws - Exponential-Fit, Well-Balanced and Asymptotic-Preserving (Paperback, Softcover reprint of the original 1st ed. 2013) Loot Price: R4,066
Discovery Miles 40 660
Computing Qualitatively Correct Approximations of Balance Laws - Exponential-Fit, Well-Balanced and Asymptotic-Preserving...

Computing Qualitatively Correct Approximations of Balance Laws - Exponential-Fit, Well-Balanced and Asymptotic-Preserving (Paperback, Softcover reprint of the original 1st ed. 2013)

Laurent Gosse

Series: SEMA SIMAI Springer Series, 2

 (sign in to rate)
Loot Price R4,066 Discovery Miles 40 660 | Repayment Terms: R381 pm x 12*

Bookmark and Share

Expected to ship within 10 - 15 working days

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 Schroedinger 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 or linearized Boltzmann models. "Caseology" is one of the main techniques used in these derivations. Lagrangian techniques for filtration equations are evoked too. Two-dimensional methods are studied in the context of non-degenerate semiconductor models.

General

Imprint: Springer-Verlag
Country of origin: Italy
Series: SEMA SIMAI Springer Series, 2
Release date: August 2016
First published: 2013
Authors: Laurent Gosse
Dimensions: 235 x 155 x 19mm (L x W x T)
Format: Paperback
Pages: 341
Edition: Softcover reprint of the original 1st ed. 2013
ISBN-13: 978-88-470-5855-2
Categories: Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Mathematical foundations > General
Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Applied mathematics > General
Promotions
LSN: 88-470-5855-4
Barcode: 9788847058552

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

You might also like..

Matroid Theory
James Oxley Hardcover R6,572 Discovery Miles 65 720
Differential Equations with Linear…
Matthew R. Boelkins, Jack L. Goldberg, … Hardcover R3,107 Discovery Miles 31 070
Graph Theory As I Have Known It
W. T. Tutte Hardcover R5,034 Discovery Miles 50 340
Introduction to Linear Algebra
Gilbert Strang Hardcover R2,404 Discovery Miles 24 040
Loop Groups
Andrew Pressley, Graeme Segal Hardcover R4,164 Discovery Miles 41 640
Introduction to Analysis - Pearson New…
William Wade Paperback R2,591 Discovery Miles 25 910
Math Without Numbers
Milo Beckman Paperback R474 R437 Discovery Miles 4 370
The Ten Equations That Rule the World…
David Sumpter Paperback R541 R500 Discovery Miles 5 000
Sets, Groups, and Mappings - An…
Andrew D. Hwang Hardcover R2,471 Discovery Miles 24 710
Linear Algebra: Gateway to Mathematics
Robert Messer Paperback R4,558 R2,474 Discovery Miles 24 740
Deformation Theory of Discontinuous…
Ali Baklouti Hardcover R5,878 Discovery Miles 58 780
Best Books gegradeerde leesreeks: Vlak 1…
Best Books Paperback R90 R85 Discovery Miles 850

See more

Partners