scholarly journals Fully Implicit Time Integration: Fast Solvers and Implicit-Explicit Schemes

2021 ◽  
Author(s):  
Benjamin Southworth ◽  
Tomasso Buvoli ◽  
Oliver Krzysik ◽  
Will Pazner ◽  
Hans De Sterck
Keyword(s):  
Time Integration ◽  
Implicit Time ◽  
Fast Solvers ◽  
Explicit Schemes ◽  
Fully Implicit ◽  
Implicit Time Integration

scholarly journals Nonlinear data-assimilation using implicit models

2005 ◽  
Vol 12 (4) ◽  
pp. 515-525 ◽  
Author(s):  
A. D. Terwisscha van Scheltinga ◽  
H. A. Dijkstra
Keyword(s):  
Parameter Estimation ◽  
Ocean Circulation ◽  
Flow Behavior ◽  
Time Integration ◽  
Implicit Time ◽  
Parameter Estimation Problem ◽  
Fully Implicit ◽  
Implicit Time Integration ◽  
Dynamical Regimes ◽  
Parameter Values

Abstract. We show how the traditional 4D-Var method can be adapted for implicit time-integration and extended for multi-parameter estimation. We present the algorithm for this new method, which we call I4D-Var, and demonstrate its performance using a fully-implicit barotropic quasi-geostrophic model of the wind-driven double-gyre ocean circulation. For the latter model, the different regimes of flow behavior and the regime boundaries (i.e. bifurcation points) are well known and hence the parameter estimation problem can be systematically studied. It turns out that I4D-Var is able to correctly estimate parameter values, even when background flow and "observations" are in different dynamical regimes.

Asynchronous Evolution for Fully-Implicit and Semi-Implicit Time Integration

2011 ◽  
Vol 30 (7) ◽  
pp. 1983-1992 ◽  
Author(s):  
Craig Schroeder ◽  
Nipun Kwatra ◽  
Wen Zheng ◽  
Ron Fedkiw
Keyword(s):  
Time Integration ◽  
Implicit Time ◽  
Fully Implicit ◽  
Implicit Time Integration

scholarly journals Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

2018 ◽  
Vol 77 (2) ◽  
pp. 819-849 ◽  
Author(s):  
Debojyoti Ghosh ◽  
Mikhail A. Dorf ◽  
Milo R. Dorr ◽  
Jeffrey A. F. Hittinger
Keyword(s):  
Time Integration ◽  
Implicit Time ◽  
Magnetized Plasmas ◽  
Kinetic Simulation ◽  
Implicit Time Integration
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