Time Integration Schemes

Time Integration Schemes is a numerical method used in Numerical Weather Prediction that determines the evolution of atmospheric model variables over discrete time steps by approximating the solutions to ordinary differential equations derived from governing physical laws.

2.4K

Publications

163.4K

Citations

4.7K

Authors

1.5K

Institutions

Publications per year

2017–2026

501

Variants

Time Integration Methods

Parents

Numerical Weather Prediction

Children

Adaptive Time SteppingBackward Differentiation FormulasCfl ConstraintConservation PropertiesCoupled Atmosphere Time IntegrationCoupled Ocean Time IntegrationEnergy-conserving SchemesExplicit Time SteppingExponential Time DifferencingImplicit Time Stepping

Publications

2.4K

The Piecewise Parabolic Method (PPM) for gas-dynamical simulations

Phillip Colella, Paul R. Woodward · Journal of Computational Physics · 1984 · 4K citations

Natural Sciences, Computational Engineering, Physics +8

Uniformly high order accurate essentially non-oscillatory schemes, III

Ami Harten, Björn Engquist, Stanley Osher et al. · Journal of Computational Physics · 1987 · 3K citations

Natural Sciences, Computer Science, Mathematics +12

Improved numerical dissipation for time integration algorithms in structural dynamics

Hans M. Hilber, Thomas J.R. Hughes, Robert L. Taylor · Earthquake Engineering & Structural Dynamics · 1977 · 2.4K citations · Full text

Engineering, Computational Engineering, Computational Mechanics +16

A time-split nonhydrostatic atmospheric model for weather research and forecasting applications

William C. Skamarock, Joseph B. Klemp · Journal of Computational Physics · 2007 · 2.3K citations

Natural Sciences, Earth Sciences, Meteorology +10

A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method

Jaeung Chung, Gregory M. Hulbert · Journal of Applied Mechanics · 1993 · 2.3K citations

Engineering, Computational Engineering, Mechanical Engineering +15

1–5 of 2.4K

Authors

4.7K

JV
J.G. Verwer
Centrum Wiskunde & Informatica, Netherlands
20 publications · 1.2K citations
15
h-index
KB
Klaus‐Jürgen Bathe
Massachusetts Institute of Technology, United States
14 publications · 2K citations
14
h-index
AS
Adrian Sandu
Virginia Tech, United States
14 publications · 824 citations
13
h-index
XZ
Xiaofei Zhao
National University of Singapore, Singapore
13 publications · 451 citations
12
h-index
DS
Delfim Soares
Universidade Federal de Juiz de Fora, Brazil
11 publications · 272 citations
11
h-index

1–5 of 4.7K

Institutions

1.5K

1–8 of 1.5K

Venues

Journal of Computational Physics
201 publications · 29.1K citations
70
h-index
Monthly Weather Review
110 publications · 14.1K citations
56
h-index
Computer Methods in Applied Mechanics and Engineering
67 publications · 3.2K citations
28
h-index
Quarterly Journal of the Royal Meteorological Society
40 publications · 5.7K citations
27
h-index
International Journal for Numerical Methods in Fluids
42 publications · 1.6K citations
25
h-index

1–5