Explicit stochastic ODE solution methods applied to high-temperature combustion

DOI10.1515/156939606776886670zbMath1104.65073OpenAlexW2047502022MaRDI QIDQ3412509

Markus Kraft, Sebastian Mosbach

Publication date: 6 December 2006

Published in: Monte Carlo Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939606776886670

zbMATH Keywords

numerical examplescombustionMarkov jump processesstochastic algorithmsexplicit methodsignition

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Uses Software

• DASSL
• RODAS
• CHEMKIN

Cites Work

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• Numerical study of a stochastic particle method for homogeneous gas-phase reactions.
• An improved stochastic algorithm for temperature-dependent homogeneous gas phase reactions.
• An explicit numerical scheme for homogeneous gas-phase high-temperature combustion systems
• Partially Stirred Reactor Model: Analytical Solutions and Numerical Convergence Study of a PDF/Monte Carlo Method
• Solutions of ordinary differential equations as limits of pure jump markov processes
• A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics