Concepedia

Numerical Integration Of Vector Fields

Numerical Integration of Vector Fields is a computational method in streamline visualization that approximates the trajectories of particles in a vector field by solving ordinary differential equations through discrete numerical techniques, distinguishing it from analytical integration by its reliance on algorithmic discretization and iterative computation.

77

Publications

3.9K

Citations

172

Authors

109

Institutions

Publications per year

2017–2026

8

Parents

Publications

77

Splitting methods

Robert I. McLachlan, G. Quispel · Acta Numerica · 2002 · 661 citations

, , +12

On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods

Robert I. McLachlan · SIAM Journal on Scientific Computing · 1995 · 377 citations

, , +14

Integration: mapping the field

Steven Vertovec, Stephen Castles, Maja Korać et al. · MPG.PuRe (Max Planck Society) · 2003 · 212 citations · Full text

, , +6

Algorithm 698: DCUHRE

Jarle Berntsen, Terje O. Espelid, Alan Genz · ACM Transactions on Mathematical Software · 1991 · 180 citations · Full text

, , +16

Modeling and synchronizing chaotic systems from time-series data

Reggie Brown, Nikolai F. Rulkov, E. R. Tracy · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1994 · 143 citations

, , +16

1–5 of 77

Authors

172

  1. RI
    Robert I. McLachlan

    Massey University, New Zealand

    4 publications · 1.1K citations

    4

    h-index

  2. TW
    Tino Weinkauf

    Max Planck Institute for Informatics, Germany

    3 publications · 171 citations

    3

    h-index

  3. HT
    Holger Theisel

    Otto-von-Guericke-Universität Magdeburg, Germany

    3 publications · 171 citations

    3

    h-index

  4. GQ
    G. Quispel

    La Trobe University, Australia

    3 publications · 708 citations

    3

    h-index

  5. VP
    Valerio Pascucci

    Lawrence Livermore National Laboratory, United States

    2 publications · 63 citations

    2

    h-index

1–5 of 172

Institutions

109

  1. University of Utah

    Salt Lake City, United States

    3 h-index

    11 publications

    349 citations

  2. La Trobe University

    Melbourne, Australia

    3 h-index

    4 publications

    731 citations

  3. Massey University

    Palmerston North, New Zealand

    3 h-index

    3 publications

    708 citations

  4. Universidad Complutense de Madrid

    Madrid, Spain

    2 h-index

    2 publications

    91 citations

  5. Universidad de Zaragoza

    Zaragoza, Spain

    2 h-index

    5 publications

    75 citations

  6. Ames Research Center

    Mountain View, United States

    2 h-index

    4 publications

    441 citations

  7. University of Colorado Boulder

    Boulder, United States

    2 h-index

    2 publications

    392 citations

  8. Delft University of Technology

    Delft, The Netherlands

    2 h-index

    4 publications

    97 citations

1–8 of 109

Venues

  1. IEEE Transactions on Visualization and Computer Graphics

    TVCG · 6 publications · 389 citations

    6

    h-index

  2. Journal of Computational Physics

    2 publications · 55 citations

    2

    h-index

  3. SIAM Journal on Scientific Computing

    2 publications · 400 citations

    2

    h-index

  4. 2

    h-index

  5. 2

    h-index

1–5