Concepedia

Hyperbolic Multiscale Problems

Hyperbolic Multiscale Problems is a class of partial differential equations characterized by wave-like propagation and multiscale heterogeneities, in which the solution exhibits rapid oscillations across spatial and temporal scales while adhering to hyperbolicity conditions that ensure finite propagation speeds and well-posedness.

28

Publications

1.9K

Citations

54

Authors

36

Institutions

Publications per year

2017–2026

6

Parents

Publications

28

Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations

Shi Jin · SIAM Journal on Scientific Computing · 1999 · 498 citations

, , +14

Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods

Thomas J.R. Hughes, Giancarlo Sangalli · SIAM Journal on Numerical Analysis · 2007 · 278 citations

, , +15

The curvelet representation of wave propagators is optimally sparse

Emmanuel J. Candès, Laurent Demanet · Communications on Pure and Applied Mathematics · 2005 · 276 citations

, , +12

Polynomial decay for a hyperbolic–parabolic coupled system☆☆The work is supported by the US National Science Foundation grant NSF-DMS-0104096, the Grant BFM2002-03345 of the Spanish MCYT, the FANEDD of China (Project No. 200119), the EU TMR Projects “Homogenization and Multiple Scales” and “Smart Systems”, the NSF of China under grant 10371084, and the Project-sponsored by SRF for ROCS, SEM of China. The first and last authors would like to thank the Laboratoire J.-A. Dieudonné at the Université de Nice, and particularly Professors Y. Brenier, D. Chenais and G. Lebeau, for hospitality during their visit. The third author also thanks Professors N. Burq, I. Mundet and V. Munõs for fruitful discussions.

Jeffrey Rauch, Xu Zhang, Enrique Zuazua · Journal de Mathématiques Pures et Appliquées · 2004 · 100 citations

, , +9

A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems

Daniel Appelö, Tim Colonius · Journal of Computational Physics · 2009 · 84 citations

, , +3

1–5 of 28

Authors

54

  1. LP
    Lorenzo Pareschi

    University of Ferrara, Italy

    5 publications · 137 citations

    5

    h-index

  2. GD
    Giacomo Dimarco

    University of Ferrara, Italy

    2 publications · 38 citations

    2

    h-index

  3. CS
    Chi‐Wang Shu

    Brown University, United States

    2 publications · 56 citations

    2

    h-index

  4. WS
    Wai Sun Don

    Ocean University of China, China

    2 publications · 117 citations

    2

    h-index

  5. JW
    Jiang-Lun Wu

    Swansea University, United Kingdom

    1 publications · 57 citations

    1

    h-index

1–5 of 54

Institutions

36

  1. University of Ferrara

    Ferrara, Italy

    4 h-index

    6 publications

    147 citations

  2. California Institute of Technology

    Pasadena, United States

    3 h-index

    5 publications

    736 citations

  3. Brown University

    Providence, United States

    2 h-index

    2 publications

    97 citations

  4. Institut national de recherche en sciences et technologies du numérique

    Le Chesnay-Rocquencourt, France

    2 h-index

    2 publications

    36 citations

  5. Centre Inria de l'université de Bordeaux

    Talence, France

    1 h-index

    1 publications

    13 citations

  6. Universidad Autónoma de Madrid

    Madrid, Spain

    1 h-index

    2 publications

    200 citations

  7. John Brown University

    Siloam Springs, United States

    1 h-index

    1 publications

    27 citations

  8. Tata Institute of Fundamental Research

    Mumbai, India

    1 h-index

    2 publications

    32 citations

1–8 of 36

Venues

  1. Journal of Computational Physics

    5 publications · 253 citations

    5

    h-index

  2. Communications on Pure and Applied Mathematics

    2 publications · 292 citations

    2

    h-index

  3. SIAM Journal on Numerical Analysis

    2 publications · 338 citations

    2

    h-index

  4. Journal of Fourier Analysis and Applications

    1 publications · 22 citations

    1

    h-index

  5. Communications in Mathematical Sciences

    1 publications · 14 citations

    1

    h-index

1–5