Algebraic stabilization of explicit numerical integration for extremely stiff reaction networks

DOI10.1016/j.jcp.2012.04.026zbMath1251.65097arXiv1112.4778OpenAlexW2169326293MaRDI QIDQ453094

Mike Guidry

Publication date: 18 September 2012

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4778

zbMATH Keywords

algorithmordinary differential equationscombustionstiffnessreactive flowsastrophysical thermonuclear networksnucleosynthesisreaction networks

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Combustion (80A25) Nuclear reactor theory; neutron transport (82D75) Numerical methods for stiff equations (65L04)

Related Items (2)

Explicit integration with GPU acceleration for large kinetic networks ⋮ Solving chemical kinetics equations by explicit methods

Uses Software

• LAPACK
• FLASH

Cites Work

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• On fast factorization pivoting methods for sparse symmetric indefinite systems
• An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
• Computational methods for nucleosynthesis and nuclear energy generation
• Explicit methods for stiff ODEs from atmospheric chemistry
• Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration
• The automatic integration of ordinary differential equations
• A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics

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