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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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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

Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous;

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Lecture Notes on Numerical Methods for Hyperbolic Equations

contributions on: Nonlinear hyperbolic conservation laws First order schemes for the Euler equations High-order accuracy: monotonicity and non;

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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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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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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 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 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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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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Simulating Hamiltonian Dynamics

can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with;

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Symmetries and Applications of Differential Equations

analysis, and conservation laws -- Conservative difference schemes -- Hamiltonian structure and conservation laws of three;

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Computational Acoustics

The book presents a state-of-art overview of numerical schemes efficiently solving the acoustic conservation equations (unknowns are;

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Numerical Methods for Conservation Laws

, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A;

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Exact Finite-Difference Schemes

difference schemes for stochastic differential equations Numerical blow-up time Bibliography;

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Applications of Lie Groups to Difference Equations

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and;

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Applications of Lie Groups to Difference Equations

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and;

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Front Tracking for Hyperbolic Conservation Laws

Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and;

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Caring for our Built Heritage: Conservation in practice

Conservation is now a major part of planners', surveyors' and architects' work load. This review of recent conservation schemes carried out;

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Control Problems for Conservation Laws with Traffic Applications

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real;

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Control Problems for Conservation Laws with Traffic Applications

Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real;

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Magnetohydrodynamics and Fluid Dynamics

nonlocal conservation laws. It also briefly discusses Anco and Bluman's direct method for deriving conservation laws. A range of examples is used;

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Lois de Conservations Eulériennes, Lagrangiennes et Méthodes Numériques

variable offer a good alternative for the numerical computation of approximate solutions. In this monograph we seek to develop a systematic;

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Stable Numerical Schemes for Fluids, Structures and their Interactions

stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at;

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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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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical;

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Mathematical Aspects of Numerical Solution of Hyperbolic Systems

This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical;

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