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On numerical methods for hyperbolic PDE with curl involutions

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Cover of 'On numerical methods for hyperbolic PDE with curl involutions'

Table of Contents

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    Book Overview
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    Chapter 1 Determination of Discontinuity Surfaces of Transport Equation Coefficients
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    Chapter 2 Nonlocal Problems of Asymptotic Methods of Perturbation Theory
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    Chapter 3 Numerical Solution of the Axisymmetric Dirichlet–Neumann Problem for Laplace’s Equation (Algorithms Without Saturation)
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    Chapter 4 Contributions to the Mathematical Technology Transfer with Finite Volume Methods
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    Chapter 5 An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws
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    Chapter 6 Development of the Matrix Spectrum Dichotomy Method
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    Chapter 7 MHD Model of an Incompressible Polymeric Fluid. Stability of the Poiseuille Type Flow
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    Chapter 8 Mathematical Models of Plasma Acceleration and Compression in Coaxial Channels
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    Chapter 9 Pseudospectrum and Different Quality of Stability Parameters
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    Chapter 10 Well-Balanced High-Order Methods for Systems of Balance Laws
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    Chapter 11 An All-Regime and Well-Balanced Lagrange-Projection Scheme for the Shallow Water Equations on Unstructured Meshes
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    Chapter 12 On the Dynamics of a Free Surface that Limits the Final Mass of a Self-Gravitating Gas
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    Chapter 13 Exponential Stability of Solutions to Delay Difference Equations with Periodic Coefficients
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    Chapter 14 On Estimates of Solutions to One Class of Functional Difference Equations with Periodic Coefficients
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    Chapter 15 Integral Operators at Settings and Investigations of Tensor Tomography Problems
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    Chapter 16 Lagrangian Godunov Schemes
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    Chapter 17 On Numerical Methods for Hyperbolic PDE with Curl Involutions
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    Chapter 18 Modeling Sodium Combustion with Liquid Water
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    Chapter 19 Geodesic Mesh MHD: A New Paradigm for Computational Astrophysics and Space Physics Applied to Spherical Systems
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    Chapter 20 The Works of the S. K. Godunov School on Hyperbolic Equations
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    Chapter 21 On Two-Flow Instability of Dynamical Equilibrium States of Vlasov–Poisson Plasma
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    Chapter 22 Analytical Results for the Riemann Problem for a Weakly Hyperbolic Two-Phase Flow Model of a Dispersed Phase in a Carrier Fluid
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    Chapter 23 A Numerical Method for Two Phase Flows with Phase Transition Including Phase Creation
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    Chapter 24 An Optimization Method for Feedback Stabilization of Linear Delay Systems
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    Chapter 25 Ten Good Reasons for Using Polyharmonic Spline Reconstruction in Particle Fluid Flow Simulations
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    Chapter 26 Generalized Solutions of Galileo-Invariant Thermodynamically Consistent Conservation Laws, Constructed Using Ideas of Fundamental Works by S. K. Godunov
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    Chapter 27 Godunov-Type Schemes for Diffusion and Advection-Diffusion
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    Chapter 28 Direct and Inverse Problems for Conservation Laws
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    Chapter 29 On a Heat Wave for the Nonlinear Heat Equation: An Existence Theorem and Exact Solution
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    Chapter 30 Algorithm for Solving the Inverse Problem of 2-D Diffraction of a Linearly Polarized Elastic Transverse Wave for an N-Layer Medium with Composite Hierarchical Inclusions
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    Chapter 31 Relaxation-Projection Schemes, the Ultimate Approximate Riemann Solvers
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    Chapter 32 New Efficient Preconditioner for Helmholtz Equation
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    Chapter 33 Edge-Based Reconstruction Schemes for Unstructured Meshes and Their Extensions
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    Chapter 34 The Collision of Giant Molecular Cloud with Galaxy: Hydrodynamics, Star Formation, Chemistry
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    Chapter 35 Model Dirac and Dirac–Hestenes Equations as Covariantly Equipped Systems of Equations
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    Chapter 36 Developments of the Godunov Method: Explicit–Implicit Scheme, Aeroacoustics
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    Chapter 37 A Note on Construction of Continuum Mechanics and Thermodynamics
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    Chapter 38 A Method of Boundary Equations for Unsteady Hyperbolic Problems in 3D
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    Chapter 39 Solution of Deformable Solid Mechanics Dynamical Problems with Use of Mathematical Modeling by Grid-Characteristic Method
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    Chapter 40 Set of Solutions of Ordinary Differential Equations in Stability Problems
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    Chapter 41 Two-Phase Computational Model for Small-Amplitude Wave Propagation in a Saturated Porous Medium
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    Chapter 42 Godunov Symmetric Systems and Rational Extended Thermodynamics
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    Chapter 43 Variational Inequalities in the Dynamics of Elastic-Plastic Media: Thermodynamic Consistency, Mathematical Correctness, Numerical Implementation
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    Chapter 44 Estimates of Solutions to a System of Differential Equations with Two Delays
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    Chapter 45 Moving-Coordinate Method and Its Applications
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    Chapter 46 Numerical Methods for Model Kinetic Equations and Their Application to External High-Speed Flows
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    Chapter 47 The ADER Path to High-Order Godunov Methods
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    Chapter 48 Near-Wall Domain Decomposition for Modelling Turbulent Flows: Opportunities and Challenges
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    Chapter 49 Quasilinear Integrodifferential Riccati-Type Equations
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    Chapter 50 S.K. Godunov and Kinetic Theory in KIAM RAS
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    Chapter 51 Modeling the Explosive Phenomena Driven by Rapid Phase Transition
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    Chapter 52 Explicit-Iteration Scheme for Time Integration of the Navier–Stokes Equations
Overall attention for this book and its chapters
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Citations

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Title
On numerical methods for hyperbolic PDE with curl involutions
Published by
arXiv, March 2020
DOI 10.1007/978-3-030-38870-6
ISBNs
978-3-03-038869-0, 978-3-03-038870-6
Authors

Michael Dumbser, Simone Chiocchetti, Ilya Peshkov

Editors

Demidenko, Gennadii V., Romenski, Evgeniy, Toro, Eleuterio, Dumbser, Michael

X Demographics

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The data shown below were collected from the profile of 1 X user who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 8 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 8 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 2 25%
Researcher 1 13%
Unknown 5 63%
Readers by discipline Count As %
Engineering 2 25%
Physics and Astronomy 1 13%
Unknown 5 63%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 06 March 2020.
All research outputs
#20,608,970
of 23,197,711 outputs
Outputs from arXiv
#682,104
of 955,226 outputs
Outputs of similar age
#307,387
of 361,698 outputs
Outputs of similar age from arXiv
#20,028
of 29,009 outputs
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So far Altmetric has tracked 955,226 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 1st percentile – i.e., 1% of its peers scored the same or lower than it.
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We're also able to compare this research output to 29,009 others from the same source and published within six weeks on either side of this one. This one is in the 1st percentile – i.e., 1% of its contemporaries scored the same or lower than it.