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Numerical Approximation of Hyperbolic Systems of Conservation Laws

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws;

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Computing Qualitatively Correct Approximations of Balance Laws

considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms;

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Hyperbolic Conservation Laws in Continuum Physics

This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential;

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Polynomial Chaos Methods for Hyperbolic Partial Differential Equations

This monograph presents computational techniques and numerical analysis to study conservation laws under uncertainty using the stochastic;

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Front Tracking for Hyperbolic Conservation Laws

This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical;

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Stability and Boundary Stabilization of 1 D Hyperbolic Systems

This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential;

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Stability and Boundary Stabilization of 1-D Hyperbolic Systems

This monograph explores the modeling of conservation and balance laws of one-dimensional hyperbolic systems using partial differential;

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Numerical Methods for Hyperbolic Equations

modelling * High order methods for hyperbolic conservation laws * Numerical methods for reactive flows * Finite volume and discontinous Galerkin;

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Lecture Notes on Numerical Methods for Hyperbolic Equations

This volume contains the lecture notes of the Short Course on Numerical Methods for Hyperbolic Equations (Faculty of Mathematics;

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Handbook of Differential Equations: Evolutionary Equations

of nonlinear waves in scalar conservation laws B.Perthame:Kinetic formulations of parabolic and hyperbolic PDE's: from theory to numerics;

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Hyperbolic Problems

These proceedings contain papers presented at a conference on hyperbolic problems, focusing largely on the laws of nonlinear hyperbolic;

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Error Estimates for Well Balanced Schemes on Simple Balance Laws

1990s by A. Bressan, T.-P. Liu and T. Yang that yield original error estimates for so-called well-balanced numerical schemes solving 1D;

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Theory, Numerics and Applications of Hyperbolic Problems II

differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic;

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Numerical Solution Of Hyperbolic Partial Differential Equati

methods, covering the theory of hyperbolic conservation laws and the theory of the numerical methods. The range of applications is broad enough to;

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Numerical Schemes for Conservation Laws

This book systematically studies upwind methods for initial value problems for scalar conservation laws in one- and multidimensions. The;

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Systems of Conservation Laws 2

maximum principle from the viewpoints of both viscous approximation and numerical schemes. Convergence is studied through compensated compactness;

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Numerical Methods for Eulerian and Lagrangian Conservation Laws

This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and;

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Numerical Control: Part a: Volume 23

, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform;

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Hyperbolic Conservation Laws and the Compensated Compactness Method

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many;

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Finite Volume Methods For Hyperbolic Pr

This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical;

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Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion;

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Quasilinear Hyperbolic Systems, Compressible Flows, and Waves

Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion;

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Nonlinear Conservation Laws and Applications

, 2009. Hyperbolic conservation laws is a classical subject, which has experienced vigorous growth in recent years. The present collection;

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