High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems
DOI10.1016/j.cam.2022.114642zbMath1496.65141OpenAlexW4289525313WikidataQ114201694 ScholiaQ114201694MaRDI QIDQ2088793
D. Hernández-Abreu, S. González-Pinto, Ernst Hairer
Publication date: 6 October 2022
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.2022.114642
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.
- Convergence of the modified Craig-Sneyd scheme for two-dimensional convection-diffusion equations with mixed derivative term
- Operator splitting and approximate factorization for taxis-diffusion-reaction models
- Convergence in the maximum norm of ADI-type methods for parabolic problems
- Modified Douglas splitting methods for reaction-diffusion equations
- W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
- New Rosenbrock W-methods of order 3 for partial differential algebraic equations of index
- Stability and Convergence of the Peaceman-Rachford ADI Method for Initial-Boundary Value Problems
- Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
- Solving Ordinary Differential Equations I
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Rosenbrock Methods using few LU-Decompositions
- An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
- Linearly implicit time discretization of non-linear parabolic equations
- Convergence in $\ell_2$ and $\ell_\infty$ Norm of One-Stage AMF-W-Methods for Parabolic Problems
- Approximate factorization for time-dependent partial differential equations
This page was built for publication: High order PDE-convergence of AMF-W methods for 2D-linear parabolic problems
