A comparison of implicit time integration methods for nonlinear relaxation and diffusion
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Publication:598421
DOI10.1016/j.jcp.2003.11.016zbMath1053.65080OpenAlexW2001428990MaRDI QIDQ598421
Publication date: 6 August 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.11.016
numerical resultserror analysisNonlinear systemsNewton-Krylov methodtheta methodImplicit differencingnonlinear consistencyRadiation diffusion
Reaction-diffusion equations (35K57) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
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- Studies on the accuracy of time-integration methods for the radiation-diffusion equations
- An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
- Time step size selection for radiation diffusion calculations
- A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion
- An implicit, nonlinear reduced resistive MHD solver
- On balanced approximations for time integration of multiple time scale systems.
- An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver
- Numerical solution of ordinary differential equations
- A Multigrid-Preconditioned Newton--Krylov Method for the Incompressible Navier--Stokes Equations
- On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime