Author: Guang-Shan JiangPublisher:
ISBN:
Category :
Languages : en
Pages : 32
Book Description
Non-oscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
Author: Guang-Shan JiangNon-oscillatory Central Differencing for Hyperbolic Conservation Laws
Author: Institute for Computer Applications in Science and EngineeringPublisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
High-resolution Non-oscillatory Central Schemes with Non-staggered Grids for Hyperbolic Conservation Laws
Author: Hyperbolic Problems: Theory, Numerics, Applications
Author: Heinrich FreistühlerPublisher: Birkhäuser
ISBN: 3034883722
Category : Mathematics
Languages : en
Pages : 471
Book Description
Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.
Essentially Non-oscillatory and Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws
Author: Chi-Wang ShuHyperbolic Problems: Theory, Numerics, Applications
Author: Rolf JeltschPublisher: Birkhäuser
ISBN: 3034887205
Category : Mathematics
Languages : en
Pages : 503
Book Description
Third Order Nonoscillatory Central Scheme for Hyperbolic Conservation Laws
Author: Xu-Dong LiuHyperbolic Systems of Conservation Laws
Author: Philippe G. LeFlochPublisher: Springer Science & Business Media
ISBN: 9783764366872
Category : Mathematics
Languages : en
Pages : 1010
Book Description
This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.
Hyperbolic Problems
Author: Michael FeyPublisher: Springer Science & Business Media
ISBN: 9783764360801
Category : Mathematics
Languages : en
Pages : 530
Book Description
Nonlinear Conservation Laws and Applications
Author: Alberto BressanPublisher: Springer Science & Business Media
ISBN: 1441995544
Category : Mathematics
Languages : en
Pages : 487
Book Description
This volume contains the proceedings of the Summer Program on Nonlinear Conservation Laws and Applications held at the IMA on July 13--31, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection provides a timely survey of the state of the art in this exciting field, and a comprehensive outlook on open problems. Contributions of more theoretical nature cover the following topics: global existence and uniqueness theory of one-dimensional systems, multidimensional conservation laws in several space variables and approximations of their solutions, mathematical analysis of fluid motion, stability and dynamics of viscous shock waves, singular limits for viscous systems, basic principles in the modeling of turbulent mixing, transonic flows past an obstacle and a fluid dynamic approach for isometric embedding in geometry, models of nonlinear elasticity, the Monge problem, and transport equations with rough coefficients. In addition, there are a number of papers devoted to applications. These include: models of blood flow, self-gravitating compressible fluids, granular flow, charge transport in fluids, and the modeling and control of traffic flow on networks.