Implicit Time Stepping

Implicit Time Stepping is a time integration scheme that belongs to the class of numerical methods for solving differential equations, distinguished by its use of future time step values in the discretized equations to achieve unconditionally stable simulations of coupled systems in black-oil reservoir modeling.

230

Publications

11.5K

Citations

573

Authors

265

Institutions

Publications per year

2017–2026

Variants

Implicit Time Integration Scheme

Parents

Black-oil SimulationTime Integration Schemes

Publications

230

Numerical Models of Surface Tension

Stéphane Popinet · Annual Review of Fluid Mechanics · 2017 · 566 citations · Full text

Engineering, Computational Engineering, Physics +15

A Reformulated Three-Layer Sea Ice Model

Michael Winton · Journal of Atmospheric and Oceanic Technology · 2000 · 472 citations · Full text

Natural Sciences, Earth Sciences, Oceanography +12

Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics

J.C. Simo, N. Tarnow, Kevin Wong · Computer Methods in Applied Mechanics and Engineering · 1992 · 390 citations

Engineering, Mathematics, Mechanical Engineering +17

Non–convex potentials and microstructures in finite–strain plasticity

Carsten Carstensen, Klaus Hackl, Alexander Mielke · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2001 · 357 citations

Natural Sciences, Materials Engineering, Materials Science +17

Invertible finite elements for robust simulation of large deformation

Geoffrey Irving, Joseph Teran, Ronald Fedkiw · Computer animation and simulation · 2004 · 356 citations

Engineering, Computational Engineering, Computational Mechanics +16

1–5 of 230

Authors

573

MC
Markus Clemens
Technische Universität Darmstadt, Germany
4 publications · 105 citations
4
h-index
AS
Adrian Sandu
Virginia Tech, United States
4 publications · 134 citations
4
h-index
CJ
Chenfanfu Jiang
California University of Pennsylvania, United States
4 publications · 501 citations
4
h-index
JT
Joseph Teran
University of California, Los Angeles, United States
4 publications · 499 citations
4
h-index
TW
T. Weiland
Technische Universität Darmstadt, Germany
4 publications · 105 citations
4
h-index

1–5 of 573

Institutions

265

1–8 of 265

Venues

Journal of Computational Physics
18 publications · 1.2K citations
16
h-index
SIAM Journal on Scientific Computing
13 publications · 773 citations
13
h-index
Computer Methods in Applied Mechanics and Engineering
9 publications · 817 citations
9
h-index
AIAA Journal
9 publications · 206 citations
9
h-index
International Journal for Numerical Methods in Engineering
8 publications · 329 citations
8
h-index

1–5