Concepedia

Multi-element Polynomial Chaos

Multi-Element Polynomial Chaos is a stochastic spectral method that decomposes the probability space into multiple elements to locally approximate random variables using polynomial chaos expansions, thereby enhancing accuracy in capturing non-Gaussian and discontinuous stochastic responses.

19

Publications

1.6K

Citations

44

Authors

27

Institutions

Publications per year

2017–2026

5

Variants

Mepc

Parents

Publications

19

An adaptive multi-element generalized polynomial chaos method for stochastic differential equations

Xiaoliang Wan, George Em Karniadakis · Journal of Computational Physics · 2005 · 571 citations

, , +15

Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

Xiaoliang Wan, George Em Karniadakis · SIAM Journal on Scientific Computing · 2006 · 501 citations

, , +12

Propagating Uncertainty in Power System Dynamic Simulations Using Polynomial Chaos

Yijun Xu, Lamine Mili, Adrian Sandu et al. · IEEE Transactions on Power Systems · 2018 · 109 citations

, , +12

Spacecraft Uncertainty Propagation Using Gaussian Mixture Models and Polynomial Chaos Expansions

Vivek Vittaldev, Ryan P. Russell, Richard Linares · Journal of Guidance Control and Dynamics · 2016 · 84 citations

, , +15

Stochastic bifurcation analysis of Rayleigh–Bénard convection

Daniele Venturi, Xiaoliang Wan, George Em Karniadakis · Journal of Fluid Mechanics · 2010 · 63 citations

, , +15

1–5 of 19

Authors

44

  1. GE
    George Em Karniadakis

    Brown University, United States

    7 publications · 1.3K citations

    7

    h-index

  2. XW
    Xiaoliang Wan

    Louisiana State University, United States

    5 publications · 1.2K citations

    5

    h-index

  3. SB
    Sébastien Berger

    Université de Tours, France

    3 publications · 44 citations

    3

    h-index

  4. ÉA
    Évelyne Aubry

    Université de Haute-Alsace, France

    2 publications · 29 citations

    2

    h-index

  5. VH
    Vincent Heuveline

    Heidelberg University, Germany

    1 publications · 19 citations

    1

    h-index

1–5 of 44

Institutions

27

  1. Brown University

    Providence, United States

    5 h-index

    8 publications

    2.3K citations

  2. Louisiana State University

    Baton Rouge, United States

    3 h-index

    5 publications

    153 citations

  3. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    6 publications

    202 citations

  4. John Brown University

    Siloam Springs, United States

    2 h-index

    3 publications

    84 citations

  5. Institut National des Sciences Appliquées Centre Val de Loire

    Blois, France

    2 h-index

    4 publications

    56 citations

  6. Université de Tours

    Tours, France

    2 h-index

    4 publications

    56 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    3 publications

    53 citations

  8. Centre Val de Loire

    Tours, France

    2 h-index

    4 publications

    56 citations

1–8 of 27

Venues

  1. Journal of Guidance Control and Dynamics

    2 publications · 98 citations

    2

    h-index

  2. SIAM Journal on Scientific Computing

    2 publications · 537 citations

    2

    h-index

  3. Journal of Fluid Mechanics

    2 publications · 91 citations

    2

    h-index

  4. Journal of vibration and acoustics

    1 publications · 18 citations

    1

    h-index

  5. Journal of Heat Transfer

    1 publications · 22 citations

    1

    h-index

1–5