Time-accurate and highly-stable explicit operators for stiff differential equations
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Publication:2123899
DOI10.1016/j.jcp.2020.109847OpenAlexW3087123699WikidataQ115350103 ScholiaQ115350103MaRDI QIDQ2123899
Ali Mani, Maxime Bassenne, Lin Fu
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.08399
Related Items (7)
A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ Generalized TASE-RK methods for stiff problems ⋮ Singly TASE operators for the numerical solution of stiff differential equations by explicit Runge-Kutta schemes ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Time-accurate and highly-stable explicit peer methods for stiff differential problems ⋮ Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model
Uses Software
Cites Work
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- The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
- A block LU-SGS implicit dual time-stepping algorithm for hybrid dynamic meshes
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- Extrapolation at stiff differential equations
- A stability result for general linear methods with characteristic function having real poles only
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
- A semi-implicit numerical scheme for reacting flow. II: Stiff, operator-split formulation
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation
- Stability of the Richardson extrapolation applied together with the \(\theta \)-method
- Numerical treatment of polar coordinate singularities
- Optimization of high-order diagonally-implicit Runge-Kutta methods
- Strong Stability-Preserving High-Order Time Discretization Methods
- Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems
- Rosenbrock--Krylov Methods for Large Systems of Differential Equations
- Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems
- Additive Runge-Kutta Methods for Stiff Ordinary Differential Equations
- Extrapolated Implicit-Explicit Time Stepping
- Fundamentals of Engineering Numerical Analysis
- Recent Progress in Extrapolation Methods for Ordinary Differential Equations
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Turbulence statistics in fully developed channel flow at low Reynolds number
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Balanced Splitting and Rebalanced Splitting
- Some application of splitting-up methods to the solution of mathematical physics problems
- On the Construction and Comparison of Difference Schemes
- Cyclic Composite Multistep Predictor-Corrector Methods
- The automatic integration of ordinary differential equations
- A -Stable Composite Multistep Methods
- Implicit Runge-Kutta Processes
- A special stability problem for linear multistep methods
- Integration of Stiff Equations
- Operator-splitting with ISAT to model reacting flow with detailed chemistry
- Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
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