Concepedia

Structure-preserving Integration

Structure-Preserving Integration is a numerical integration method that belongs to the class of geometric integrators and is specifically designed to preserve the intrinsic geometric structures—such as symplecticity, momentum conservation, and energy behavior—of Lagrangian and Hamiltonian dynamical systems over long-time simulations.

49

Publications

2.7K

Citations

92

Authors

71

Institutions

Publications per year

2017–2026

14

Variants

Geometric Integration

Parents

Publications

49

Geometric numerical integration illustrated by the Störmer–Verlet method

Ernst Hairer, Christian Lubich, Gerhard Wanner · Acta Numerica · 2003 · 637 citations · Full text

, , +17

Geometric integrators for ODEs

Robert I. McLachlan, G. Quispel · Journal of Physics A Mathematical and General · 2006 · 182 citations

, , +15

Symplectic Integration of Hamiltonian Systems with Additive Noise

Grigori N. Milstein, Yu. M. Repin, M. V. Tretyakov · SIAM Journal on Numerical Analysis · 2002 · 141 citations · Full text

, , +14

Smart octrees: Accurately integrating discontinuous functions in 3D

László Kudela, Nils Zander, Stefan Kollmannsberger et al. · Computer Methods in Applied Mechanics and Engineering · 2016 · 129 citations

, , +13

Structure and structure-preserving algorithms for plasma physics

P. Morrison · Physics of Plasmas · 2017 · 121 citations · Full text

, , +14

1–5 of 49

Authors

92

  1. EH
    Ernst Hairer

    University of Geneva, Switzerland

    4 publications · 820 citations

    4

    h-index

  2. PB
    Peter Betsch

    University of Siegen, Germany

    2 publications · 40 citations

    2

    h-index

  3. ML
    Melvin Leok

    University of Michigan, United States

    2 publications · 57 citations

    2

    h-index

  4. CL
    Christian Lubich

    University of Tübingen, Germany

    2 publications · 728 citations

    2

    h-index

  5. GV
    Gilles Vilmart

    Institut de recherche mathématique de Rennes, France

    2 publications · 92 citations

    2

    h-index

1–5 of 92

Institutions

71

  1. University of Geneva

    Geneva, Switzerland

    4 h-index

    6 publications

    1.5K citations

  2. Laboratoire Jacques-Louis Lions

    Paris, France

    3 h-index

    5 publications

    124 citations

  3. University of Tübingen

    Tübingen, Germany

    3 h-index

    3 publications

    750 citations

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

    Le Chesnay-Rocquencourt, France

    2 h-index

    3 publications

    131 citations

  5. Academy of Mathematics and Systems Science

    Beijing, China

    2 h-index

    2 publications

    94 citations

  6. Chinese Academy of Sciences

    Beijing, China

    2 h-index

    2 publications

    94 citations

  7. Tech-X Corporation (United States)

    Boulder, United States

    2 h-index

    4 publications

    198 citations

  8. Princeton Plasma Physics Laboratory

    Princeton, United States

    2 h-index

    2 publications

    81 citations

1–8 of 71

Venues

  1. arXiv (Cornell University)

    Repository · 3 publications · 33 citations

    3

    h-index

  2. Physics of Plasmas

    3 publications · 264 citations

    3

    h-index

  3. Optimal Control Applications and Methods

    2 publications · 53 citations

    2

    h-index

  4. SIAM Journal on Numerical Analysis

    2 publications · 252 citations

    2

    h-index

  5. 2

    h-index

1–5