Partitioned time discretization for parallel solution of coupled ODE systems

DOI10.1007/s10543-010-0295-zzbMath1256.86002OpenAlexW2018792437MaRDI QIDQ634118

Attou Miloua, Jeffrey Mark Connors

Publication date: 2 August 2011

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-010-0295-z

zbMATH Keywords

semi-implicitimplicit-explicitcoupled atmosphere-ocean system

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Meteorology and atmospheric physics (86A10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Computational methods for problems pertaining to geophysics (86-08)

Related Items (6)

Analysis of partitioned methods for the <scp>B</scp>iot System ⋮ Stability analysis of coupled advection-diffusion models with bulk interface condition ⋮ Stability analysis of interface conditions for ocean-atmosphere coupling ⋮ Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations ⋮ A decoupled scheme with leap-frog multi-time step for non-stationary Stokes–Darcy system ⋮ Parallel implicit-explicit general linear methods

Uses Software

• MITgcm

Cites Work

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• Nonlinear operator integration factor splitting for the shallow water equations
• Continuous refinement equations and subdivision
• Mathematical theory for the coupled atmosphere-ocean models (CAO III)
• Added-mass effect in the design of partitioned algorithms for fluid--structure problems
• Partitioned Time Stepping for a Parabolic Two Domain Problem
• Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier–Stokes Equations
• A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• A special stability problem for linear multistep methods
• A fully implicit model of the three-dimensional thermohaline ocean circulation

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