Studies of the accuracy of time integration methods for reaction-diffusion equations.
DOI10.1016/j.jcp.2003.08.033zbMath1039.65069OpenAlexW1993325724MaRDI QIDQ1427832
David L. Ropp, Curtis C. Ober, John N. Shadid
Publication date: 14 March 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.08.033
comparison of methodsGalerkin methodfinite elementsnumerical experimentssemi-implicit methodsoperator-splitting methodsfully implicit methodstime integration methodssystems of reaction-diffusion equationsBrusselator chemical dynamics systemradiation-diffusion system
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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- Studies on the accuracy of time-integration methods for the radiation-diffusion equations
- A comparison of implicit time integration methods for nonlinear relaxation and diffusion
- Blowup in diffusion equations: A survey
- Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
- An analysis of operator splitting techniques in the stiff case
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
- On balanced approximations for time integration of multiple time scale systems.
- Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
- Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer
- The MATLAB ODE Suite
- A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
- A Lumped Mass Finite-element Method with Quadrature for a Non-linear Parabolic Problem
- On the Construction and Comparison of Difference Schemes