Computing qualitatively correct approximations of balance laws : exponential-fit, well-balanced and asymptotic-preserving
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 h...
Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Livre numérique |
| Ngôn ngữ: | Anglais |
| Được phát hành: |
Milano :
Springer Milan : Imprint: Springer
[20..].
Cham : Springer Nature |
| Loạt: | SIMAI Springer Series
2 |
| Truy cập trực tuyến: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Chú thích: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computing qualitatively correct approximations of balance laws, exponential-fit, well-balanced and asymptotic-preserving, Laurent Gosse, 2013, Milan [etc.], Springer, 1 vol. (XIX-340 p.), SIMAI Springer Series, 978-88-470-2891-3 • Computing Qualitatively Correct Approximations of Balance Laws, Texte imprimé, 9788847028913 |
| LEADER | 05078nam a22003377a 4500 | ||
|---|---|---|---|
| 001 | 946385 | ||
| 008 | 130507q2000 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN169141608 | ||
| 020 | |a 9788847028920 | ||
| 041 | 0 | |a eng | |
| 082 | |a 518 | ||
| 082 | |a 518 | ||
| 100 | 1 | |a Gosse, Laurent. | |
| 245 | 1 | 0 | |a Computing qualitatively correct approximations of balance laws : |b exponential-fit, well-balanced and asymptotic-preserving |c by Laurent Gosse. |
| 260 | |a Milano : |b Springer Milan : |b Imprint: Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a SIMAI Springer Series |v 2 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |0 169961680 |t Computing qualitatively correct approximations of balance laws |o exponential-fit, well-balanced and asymptotic-preserving |f Laurent Gosse |d 2013 |c Milan [etc.] |n Springer |p 1 vol. (XIX-340 p.) |s SIMAI Springer Series |z 978-88-470-2891-3 | |
| 776 | 0 | |t Computing Qualitatively Correct Approximations of Balance Laws |b Texte imprimé |z 9788847028913 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-88-470-2892-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-CL5FR1KL-L |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747844585 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-88-470-2892-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750862092 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-88-470-2892-0 |z Accès INSA CVL | |
| 997 | |0 946385 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||