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Hyperbolic Problems: Theory, Numerics, Applications

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Cover of 'Hyperbolic Problems: Theory, Numerics, Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Diffusion Limits of Kinetic Models
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    Chapter 2 Viscosity Solutions for Nonlinear Hyperbolic Systems
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    Chapter 3 Phase Plane Behavior of Solitary Waves in Nonlinear Layered Media
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    Chapter 4 Energy Method for Equations in Gas Dynamics
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    Chapter 5 Convergence of the Upwind Interface Source Method for Hyperbolic Conservation Laws
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    Chapter 6 An Overview on High Order Numerical Methods for Convection Dominated PDEs
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    Chapter 7 Analysis of High Order Difference Methods for Multiscale Complex Compressible Flows
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    Chapter 8 Nonlinear Boundary Layers of the Boltzmann Equation
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    Chapter 9 An Homogenized Hyperbolic Model of Multiclass Traffic Flow: a Few Examples
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    Chapter 10 The GRP Treatment of 2-D Complex Wave Structures
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    Chapter 11 BV Solutions of Semidiscrete Upwind Scheme
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    Chapter 12 A Supplement to Entropy Condition
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    Chapter 13 Robust Treatment of Interfaces for Fluid Flows and Computer Graphics
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    Chapter 14 Asymptotic Convergence to Diffusive Wave of Bipolar Hydrodynamical Model for Semiconductors
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    Chapter 15 Simplification. Conservation and Adaptivity in the Front Tracking Method
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    Chapter 16 Discrete Adjoint Approximations with Shocks
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    Chapter 17 Far-field Evaluation via Nonreflecting Boundary Conditions
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    Chapter 18 L 1 Stability for the One-dimensional Broadwell Model of a Discrete Velocity Gas
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    Chapter 19 Recent Progress on Quantum Hydrodynamic Models for Semiconductors
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    Chapter 20 Critical Thresholds and Conditional Stability for Euler Equations and Related Models
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    Chapter 21 High Order Asymptotically Strong-Stability-Preserving Methods for Hyperbolic Systems with Stiff Relaxation
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    Chapter 22 Some Results on the Boundary Control of Systems of Conservation Laws
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    Chapter 23 Dynamics of Collapsing Bubbles Near Walls
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    Chapter 24 The Riemann Problem for a Two-phase Model
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    Chapter 25 Evaluation of a Well-posed Perfectly Matched Layer for Computational Acoustics
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    Chapter 26 New Space Staggered and Time Interleaved 2 nd Order Finite Volume Methods
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    Chapter 27 High-resolution Riemann-solver-free Methods for Conservation Laws
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    Chapter 28 Riemann Problem for Conservation Laws with an Umbilic Point
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    Chapter 29 Admissibility of Shock Waves and Uniqueness of the Riemann Problem
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    Chapter 30 Eulerian Approximate Ray Tracing and Applications to Grid Generation
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    Chapter 31 Non-convex Flux Functions and Compound Shock Waves in Sediment Beds
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    Chapter 32 Derivation of Schrödinger Poisson as the Non-relativistic Limit of Klein-Gordon Maxwell
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    Chapter 33 Multigrid for Atmospheric Data Assimilation: Analysis
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    Chapter 34 A Theory of Implicit Methods for Scalar Conservation Laws
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    Chapter 35 High-Order Schemes for Multi-Dimensional Hamilton-Jacobi Equations
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    Chapter 36 On a Model for Continuous Sedimentation in Vessels with Discontinuous Cross-sectional Area
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    Chapter 37 Numerical Approximation of the Navier-Stokes Equations with Several Independent Specific Entropies
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    Chapter 38 Existence and Stability of Multidimensional Transonic Shocks for the Euler Equations for Steady Potential Fluids in Unbounded Domains
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    Chapter 39 Analysis on a Model for the Dynamic Combustion of a Compressible, Reacting Fluid
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    Chapter 40 Discontinuous Solutions of Hamilton-Jacobi Equations: Existence, Uniqueness, and Regularity
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    Chapter 41 Conservation Laws and O.D.E.s. A Traffic Problem
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    Chapter 42 Phase Transitions and Chapman-Jouguet Combustions
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    Chapter 43 Weak Stability of Multidimensional Shocks
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    Chapter 44 Propagation and Interaction of Delta-Shock Waves of a Hyperbolic System of Conservation Laws
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    Chapter 45 Multidimensional Compressible Flows with Symmetry
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    Chapter 46 Efficient Higher-Order Finite Volume Schemes for (Real Gas) Magnetohydrodynamics
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    Chapter 47 A New Approach to Divergence Cleaning in Magnetohydrodynamic Simulations
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    Chapter 48 Global Solutions for a Dusty Media Model
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    Chapter 49 A Constrained Transport Upwind Scheme for Divergence-free Advection
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    Chapter 50 Green’s Function Pointwise Estimates for the Modified Lax-Friedrichs Scheme
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    Chapter 51 A Class of Global Non-smooth Axisymmetric Solutions to the Euler Equations of an Isentropic Perfect Gas in 2 Space Dimensions
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    Chapter 52 A Numerical Method for Controllability Problems for the Wave Equation
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    Chapter 53 Numerical Study of a Viscous Consolidation Model
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    Chapter 54 Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals
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    Chapter 55 The Riemann Problem for a Phase Transition Problem in Thermoelastic Materials
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    Chapter 56 The Global Existence and Large Time Behavior of Solutions to the Multidimensional Euler-Poisson Equations
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    Chapter 57 Relaxation Schemes for Conservation Laws with Discontinuous Coefficients
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    Chapter 58 Relaxation Models and Finite Element Schemes for the Shallow Water Equations
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    Chapter 59 Second Order Approximation of the Viscous Saint-Venant System and Comparison with Experiments
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    Chapter 60 Dynamics of Multilayer Shear Flows
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    Chapter 61 Effects of Viscosity on a Shock Wave Solution of the Euler Equations
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    Chapter 62 An Accurate Deterministic Projection Method for Hyperboles Systems with Stiff Source Term
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    Chapter 63 Adaptive Second Order Central Schemes on Unstructured Staggered Grids
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    Chapter 64 Physical Symmetries and Hyperbolic GLM Divergence Correction Scheme for Maxwell and MHD Equations
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    Chapter 65 Mathematical Modelling of Traffic Flows
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    Chapter 66 New High-Resolution Central-Upwind Schemes for Nonlinear Hyperbolic Conservation Laws
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    Chapter 67 Afternotes on PHM: Harmonic ENO Methods
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    Chapter 68 One-Dimensional Stability of Viscous Shock and Relaxation Profiles
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    Chapter 69 Simulation of Cavitation in Thermodynamic Equilibrium
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    Chapter 70 Semi-discrete Finite Element Method for a Class of Visco-elastic Problems with Long Memory under Condition of Friction
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    Chapter 71 Global Solutions for a Free Boundary Problem of Hyperbolic Type in the Case of Non-negative Peeling Speed
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    Chapter 72 Stability Analysis for Periodic Solution Waves in Viscous Conservation Laws
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    Chapter 73 Scalar Conservation Laws with Boundary Effect
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    Chapter 74 To the Theory of Generalized Entropy Solutions of the Cauchy Problem for a First Order Quasilinear Equation in the Class of Locally Integrable Functions
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    Chapter 75 Pressure Linearization Method for the Computation of Real Fluids
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    Chapter 76 Modeling and Computing Geophysical Mass Flows
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    Chapter 77 Adaptive Application of Characteristic Projection for Central Schemes
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    Chapter 78 Comparison of Several Difference Schemes for the Euler Equations in 1D and 2D
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    Chapter 79 Adaptive Time Integration for Hyperbolic Conservation Equations
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    Chapter 80 A Constrained Transport Method for the Shallow Water MHD Equations
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    Chapter 81 Solutions with Linear Profile of Velocity to the Euler Equations in Several Dimensions
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    Chapter 82 An Adaptive Order Godunov Type Central Scheme
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    Chapter 83 Numerical Study of Dynamic Phase Transitions in 2-D with a Relaxed Scheme
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    Chapter 84 Particle Method for Simulation of Free Surface Flows
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    Chapter 85 Three Dimensional Numerical Modelling of Convective Instability by Supernova Explosion with Nested Grids Scheme on Multiprocessors Systems
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    Chapter 86 A Local Level-Set Concept for Front Tracking on Arbitrary Grids
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    Chapter 87 Large-Time Behavior of Solutions to the Multi-Dimensional Euler Equations with Damping
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    Chapter 88 Isentropic Gas Dynamics with Large Data
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    Chapter 89 Third and Fourth Order Weighted ENO Schemes for Hamilton-Jacobi Equations on 2D Unstructured Meshes
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    Chapter 90 High Resolution Conjugate Filters for Hyperbolic Conservation Laws
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Title
Hyperbolic Problems: Theory, Numerics, Applications
Published by
Springer Berlin Heidelberg, December 2012
DOI 10.1007/978-3-642-55711-8
ISBNs
978-3-64-262929-7, 978-3-64-255711-8
Editors

Hou, Thomas Y., Tadmor, Eitan

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 50%
Researcher 1 25%
Unknown 1 25%
Readers by discipline Count As %
Mathematics 3 75%
Unknown 1 25%