Operator splitting for chemical reaction systems with fast chemistry
DOI10.1016/j.cam.2018.06.001zbMath1464.65098OpenAlexW2806897491MaRDI QIDQ724533
Axel Ariaan Lukassen, Martin Kiehl
Publication date: 26 July 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.06.001
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Chemistry (general) in thermodynamics and heat transfer (80A50) Numerical methods for stiff equations (65L04)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods
- Fourth-order two-stage explicit exponential integrators for time-dependent PDEs
- Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method
- Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
- The behaviour of the local error in splitting methods applied to stiff problems
- A global strategy for solving reactive transport equations
- Exponential operator splitting time integration for spectral methods
- Richardson-extrapolated sequential splitting and its application
- Stability of operator splitting methods for systems with indefinite operators: Advection-diffusion-reaction systems
- Asymptotic expansions of the global error of fixed-stepsize methods
- One-step and extrapolation methods for differential-algebraic systems
- Geometric singular perturbation theory for ordinary differential equations
- Linearly implicit splitting methods for higher space-dimensional parabolic differential equations
- An analysis of operator splitting techniques in the stiff case
- Error bounds for exponential operator splittings
- Asymptotic analysis of two reduction methods for systems of chemical reactions
- Analysis of the computational singular perturbation reduction method for chemical kinetics
- Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction
- Embedded exponential operator splitting methods for the time integration of nonlinear evolution equations
- Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Exponential integrators
- On the Product of Semi-Groups of Operators
- Simple global reduction technique based on decomposition approach
- Global Extrapolation of a First Order Splitting Method
- Recent Progress in Extrapolation Methods for Ordinary Differential Equations
- The partial-equilibrium approximation in reacting flows
- On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
- The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
- Asymptotic Error Expansions for Stiff Equations: The Implicit Euler Scheme
- Reduction of round-off errors in chemical kinetics
- Analysis of Operator Splitting in the Nonasymptotic Regime for Nonlinear Reaction-Diffusion Equations. Application to the Dynamics of Premixed Flames
- Exponential Rosenbrock-Type Methods
- Fundamentals of Atmospheric Modeling
- On the Construction and Comparison of Difference Schemes
- Integration of Stiff Equations
- Operator-splitting with ISAT to model reacting flow with detailed chemistry
This page was built for publication: Operator splitting for chemical reaction systems with fast chemistry
