Concepedia

Nonlinear Time Integration

Nonlinear Time Integration is a numerical method for solving time-dependent differential equations in which the governing equations exhibit nonlinearities, requiring iterative solution techniques at each time step to account for the state-dependent behavior of the system.

135

Publications

5.6K

Citations

267

Authors

168

Institutions

Publications per year

2017–2026

45

Parents

Publications

135

A nonlinear integrator for servomechanisms

J. C. Clegg · Transactions of the American Institute of Electrical Engineers Part II Applications and Industry · 1958 · 436 citations

, , +15

On a composite implicit time integration procedure for nonlinear dynamics

Klaus‐Jürgen Bathe, Mirza Moiz Baig · Computers & Structures · 2005 · 390 citations

, , +13

State-Dependent Dendritic Computation in Hippocampal CA1 Pyramidal Neurons

Sonia Gasparini, Jeffrey C. Magee · Journal of Neuroscience · 2006 · 300 citations · Full text

, , +17

Highly Efficient Strong Stability-Preserving Runge–Kutta Methods with Low-Storage Implementations

David I. Ketcheson · SIAM Journal on Scientific Computing · 2008 · 211 citations

, , +15

Numerical integration of the time-dependent Schrödinger equation for laser-driven helium

Edward S Smyth, Jonathan Parker, K T Taylor · Computer Physics Communications · 1998 · 170 citations

, , +15

1–5 of 135

Authors

267

  1. JV
    J.G. Verwer

    Centrum Wiskunde & Informatica, Netherlands

    4 publications · 192 citations

    4

    h-index

  2. SN
    Satya N. Atluri

    Georgia Institute of Technology, United States

    4 publications · 169 citations

    4

    h-index

  3. XW
    Xinyuan Wu

    Nanjing University, China

    3 publications · 80 citations

    3

    h-index

  4. YJ
    Yi Ji

    Beihang University, China

    2 publications · 43 citations

    2

    h-index

  5. JK
    Jerzy Kujawski

    Bialystok University of Technology, Poland

    2 publications · 32 citations

    2

    h-index

1–5 of 267

Institutions

168

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    7 publications

    879 citations

  2. Nanjing University

    Nanjing, China

    4 h-index

    5 publications

    102 citations

  3. University of Chinese Academy of Sciences

    Beijing, China

    3 h-index

    2 publications

    42 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    3 h-index

    3 publications

    131 citations

  5. National Taiwan Ocean University

    Keelung, Taiwan

    3 h-index

    3 publications

    156 citations

  6. Los Alamos National Laboratory

    Los Alamos, United States

    3 h-index

    8 publications

    319 citations

  7. Northwestern Polytechnical University

    Xi'an, China

    3 h-index

    5 publications

    90 citations

  8. Urgench State University

    Urgench, Uzbekistan

    3 h-index

    4 publications

    81 citations

1–8 of 168

Venues

  1. Applied Numerical Mathematics

    10 publications · 325 citations

    10

    h-index

  2. Journal of Computational Physics

    9 publications · 472 citations

    9

    h-index

  3. 6

    h-index

  4. SIAM Journal on Numerical Analysis

    5 publications · 206 citations

    5

    h-index

  5. Computers & Structures

    5 publications · 554 citations

    5

    h-index

1–5