Concepedia

Discrete Approximation Schemes

Discrete Approximation Schemes is a systematic framework within numerical analysis that approximates continuous differential equations by constructing discrete algebraic systems through the discretization of time, space, or both, distinguished by their specific choice of numerical methods, stability properties, and convergence behavior.

764

Publications

44.1K

Citations

1.4K

Authors

738

Institutions

Publications per year

2017–2026

111

Variants

Discrete Approximation Scheme

Parents

Publications

764

Generalized discrete variable approximation in quantum mechanics

J. C. Light, Ian Hamilton, James Lill · The Journal of Chemical Physics · 1985 · 1.7K citations

, , +16

Simultaneous Algebraic Reconstruction Technique (SART): A Superior Implementation of the Art Algorithm

Anni H. Andersen, A.C. Kak · Ultrasonic Imaging · 1984 · 1.4K citations

, , +16

Simultaneous Algebraic Reconstruction Technique (SART): A superior implementation of the ART algorithm

Anders H. Andersen · Ultrasonic Imaging · 1984 · 1.1K citations

, , +16

Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation

Xiaowen Shan, Xue‐Feng Yuan, Hudong Chen · Journal of Fluid Mechanics · 2006 · 1.1K citations

, , +10

The discrete dipole approximation: An overview and recent developments

Maxim A. Yurkin, Alfons G. Hoekstra · Journal of Quantitative Spectroscopy and Radiative Transfer · 2007 · 861 citations · Full text

, , +8

1–5 of 764

Authors

1.4K

  1. VM
    Vladimir M. Veliov

    TU Wien, Austria

    7 publications · 380 citations

    7

    h-index

  2. BS
    Boris S. Mordukhovich

    Wayne State University, United States

    5 publications · 314 citations

    5

    h-index

  3. SA
    Sanjeev Arora

    Princeton University, United States

    5 publications · 602 citations

    5

    h-index

  4. MS
    Mircea Sofonea

    Université de Perpignan, France

    5 publications · 186 citations

    5

    h-index

  5. EN
    Elimhan N. Mahmudov

    Istanbul Technical University, Türkiye

    4 publications · 85 citations

    4

    h-index

1–5 of 1.4K

Institutions

738

  1. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    34 publications

    880 citations

  2. École Polytechnique

    Palaiseau, France

    10 h-index

    10 publications

    354 citations

  3. Université Paris Cité

    Paris, France

    10 h-index

    12 publications

    1.1K citations

  4. ETH Zurich

    Zurich, Switzerland

    8 h-index

    18 publications

    618 citations

  5. Chinese Academy of Sciences

    Beijing, China

    8 h-index

    12 publications

    275 citations

  6. Sorbonne Université

    Paris, France

    8 h-index

    12 publications

    868 citations

  7. Stanford University

    Stanford, United States

    8 h-index

    16 publications

    967 citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    8 h-index

    11 publications

    357 citations

1–8 of 738

Venues

  1. SIAM Journal on Numerical Analysis

    50 publications · 4.1K citations

    34

    h-index

  2. Mathematics of Computation

    MCOM · 38 publications · 2.4K citations

    23

    h-index

  3. Journal of Computational and Applied Mathematics

    12 publications · 295 citations

    11

    h-index

  4. 11

    h-index

  5. Computers & Mathematics with Applications

    10 publications · 239 citations

    10

    h-index

1–5