Computing Qualitatively Correct Approximations of Balance Laws : Exponential-Fit, Well-Balanced and Asymptotic-Preserving

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Computing Qualitatively Correct Approximations of Balance Laws : Exponential-Fit, Well-Balanced and Asymptotic-Preserving

種類:

電子ブック

責任表示:

by Laurent Gosse

出版情報:

Milano : Springer Milan : Imprint: Springer, 2013

著者名:

シリーズ名:

SIMAI Springer Series ; 2

ISBN:

9788847028920 [8847028922]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-88-470-2892-0

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主題:

Appl.Mathematics/Computational Methods of Engineering; Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematics; Numerical and Computational Physics; Partial Differential Equations

分類・件名:

DC23 : 518
LCSH : Mathematics
LCSH : Differential equations, partial
LCSH : Computer science -- Mathematics
LCSH : Engineering mathematics
FREE : Mathematics
FREE : Computational Mathematics and Numerical Analysis
FREE : Partial Differential Equations
FREE : Applications of Mathematics
FREE : Appl.Mathematics/Computational Methods of Engineering
FREE : Numerical and Computational Physics

形態:

XIX, 340 p : digital

目次情報:

Introduction and chronological perspective
Lifting a non-resonant scalar balance law
Lyapunov functional for linear error estimates
Early well-balanced derivations for various systems
Viscosity solutions and large-time behavior for non-resonant balance laws
Kinetic scheme with reflections and linear geometric optics
Material variables, strings and infinite domains
The special case of 2-velocity kinetic models
Elementary solutions and analytical discrete-ordinates for radiative transfer
Aggregation phenomena with kinetic models of chemotaxis dynamics
Time-stabilization on flat currents with non-degenerate Boltzmann-Poisson models
Klein-Kramers equation and Burgers/Fokker-Planck model of spray
A model for scattering of forward-peaked beams
Linearized BGK model of heat transfer
Balances in two dimensions: kinetic semiconductor equations again
Non-conservative products and locally Lipschitzian paths
A tiny step toward hypocoercivity estimates for well-balanced schemes on 2x2 models
Preliminary analysis of the errors for Vlasov-BGK

Introduction and chronological perspective
Lifting a non-resonant scalar balance law
Lyapunov functional for linear error estimates
Early well-balanced derivations for various systems
Viscosity solutions and large-time behavior for non-resonant balance laws
Kinetic scheme with reflections and linear geometric optics

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書誌ID:

KB00010297

内容紹介

目次情報

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