Computing Qualitatively Correct Approximations of Balance Laws (Record no. 48219)
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| fixed length control field | 04928nam a22005417a 4500 |
| 001 - CONTROL NUMBER | |
| control field | sulb-eb0026127 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20160413122610.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130331s2013 it | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9788847028920 |
| -- | 978-88-470-2892-0 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-88-470-2892-0 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA71-90 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBKS |
| Source | bicssc |
| Subject category code | MAT006000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 518 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gosse, Laurent. |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Computing Qualitatively Correct Approximations of Balance Laws |
| Medium | [electronic resource] : |
| Remainder of title | Exponential-Fit, Well-Balanced and Asymptotic-Preserving / |
| Statement of responsibility, etc. | by Laurent Gosse. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Milano : |
| Name of producer, publisher, distributor, manufacturer | Springer Milan : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2013. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIX, 340 p. |
| Other physical details | online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS | |
| File type | text file |
| Encoding format | |
| Source | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | SIMAI Springer Series, |
| International Standard Serial Number | 2280-840X ; |
| Volume/sequential designation | 2 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction and chronological perspective -- Lifting a non-resonant scalar balance law -- Lyapunov functional for linear error estimates -- Early well-balanced derivations for various systems -- Viscosity solutions and large-time behavior for non-resonant balance laws -- Kinetic scheme with reflections and linear geometric optics -- Material variables, strings and infinite domains -- The special case of 2-velocity kinetic models -- Elementary solutions and analytical discrete-ordinates for radiative transfer -- Aggregation phenomena with kinetic models of chemotaxis dynamics -- Time-stabilization on flat currents with non-degenerate Boltzmann-Poisson models -- Klein-Kramers equation and Burgers/Fokker-Planck model of spray -- A model for scattering of forward-peaked beams -- Linearized BGK model of heat transfer -- Balances in two dimensions: kinetic semiconductor equations again -- Non-conservative products and locally Lipschitzian paths -- A tiny step toward hypocoercivity estimates for well-balanced schemes on 2x2 models -- Preliminary analysis of the errors for Vlasov-BGK. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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 equations are evoked too. Two-dimensional methods are studied in the context of non-degenerate semiconductor models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Partial differential equations. |
| Topical term or geographic name as entry element | Applied mathematics. |
| Topical term or geographic name as entry element | Engineering mathematics. |
| Topical term or geographic name as entry element | Computer mathematics. |
| Topical term or geographic name as entry element | Physics. |
| Topical term or geographic name as entry element | Mathematics. |
| Topical term or geographic name as entry element | Computational Mathematics and Numerical Analysis. |
| Topical term or geographic name as entry element | Partial Differential Equations. |
| Topical term or geographic name as entry element | Applications of Mathematics. |
| Topical term or geographic name as entry element | Appl.Mathematics/Computational Methods of Engineering. |
| Topical term or geographic name as entry element | Numerical and Computational Physics. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9788847028913 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | SIMAI Springer Series, |
| International Standard Serial Number | 2280-840X ; |
| Volume number/sequential designation | 2 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-88-470-2892-0">http://dx.doi.org/10.1007/978-88-470-2892-0</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
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No items available.