Nonlinear Hyperbolic Problems
Author : Andrea Donato
Publisher :
Page : 630 pages
File Size : 12,23 MB
Release : 2012-03-27
Category :
ISBN : 9783322878724
Author : Andrea Donato
Publisher :
Page : 630 pages
File Size : 12,23 MB
Release : 2012-03-27
Category :
ISBN : 9783322878724
Author : Andrea Donato
Publisher : Springer Science & Business Media
Page : 623 pages
File Size : 17,63 MB
Release : 2013-03-08
Category : Technology & Engineering
ISBN : 3322878716
Author : Andrea Donato
Publisher :
Page : 612 pages
File Size : 18,93 MB
Release : 1993
Category : Differential equations, Hyperbolic
ISBN :
Author : Andrea Donato
Publisher :
Page : pages
File Size : 27,81 MB
Release : 1993
Category :
ISBN : 9783531076430
Author : Christian Klingenberg
Publisher : Springer
Page : 685 pages
File Size : 33,41 MB
Release : 2018-06-23
Category : Mathematics
ISBN : 3319915452
The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
Author : Christian Klingenberg
Publisher : Springer
Page : 698 pages
File Size : 10,37 MB
Release : 2018-06-27
Category : Mathematics
ISBN : 3319915487
The second of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
Author : Carlos Parés
Publisher : Springer Nature
Page : 376 pages
File Size : 47,96 MB
Release :
Category :
ISBN : 3031552601
Author : Carlos Parés
Publisher : Springer
Page : 0 pages
File Size : 44,82 MB
Release : 2024-05-22
Category : Mathematics
ISBN : 9783031552595
The present volume contains a selection of papers from the XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications (HYP2022), which was held on June 20-24, 2022 in Málaga (Spain). The goal of this series of conferences is to bring together scientists with interests in the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models. The chapters in this volume correspond to some of the plenary lectures and to selected contributions related to theoretical aspects.
Author : Edwige Godlewski
Publisher : Springer Nature
Page : 846 pages
File Size : 44,92 MB
Release : 2021-08-28
Category : Mathematics
ISBN : 1071613448
This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
Author : Debora Amadori
Publisher : Springer
Page : 119 pages
File Size : 22,12 MB
Release : 2015-10-23
Category : Mathematics
ISBN : 3319247859
This monograph presents, in an attractive and self-contained form, techniques based on the L1 stability theory derived at the end of the 1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D hyperbolic systems of balance laws. Rigorous error estimates are presented for both scalar balance laws and a position-dependent relaxation system, in inertial approximation. Such estimates shed light on why those algorithms based on source terms handled like "local scatterers" can outperform other, more standard, numerical schemes. Two-dimensional Riemann problems for the linear wave equation are also solved, with discussion of the issues raised relating to the treatment of 2D balance laws. All of the material provided in this book is highly relevant for the understanding of well-balanced schemes and will contribute to future improvements.