Efficient A-stable peer two-step methods
From MaRDI portal
Publication:2406651
DOI10.1016/j.cam.2016.08.045zbMath1372.65197OpenAlexW2517948844MaRDI QIDQ2406651
Bernhard A. Schmitt, Rüdiger Weiner
Publication date: 5 October 2017
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.2016.08.045
Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for stiff equations (65L04)
Related Items
Exponentially fitted two-step peer methods for oscillatory problems ⋮ On the implementation of explicit two-step peer methods with Runge-Kutta stability ⋮ Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ A family of \(L\)-stable singly implicit peer methods for solving stiff IVPs
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two-step peer methods with continuous output
- Construction of highly stable two-step W-methods for ordinary differential equations
- High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs
- Matrix valued versions of a result of von Neumann with an application to time discretization
- Algebraic characterization of \(A\)-stable Runge-Kutta methods
- A class of implicit peer methods for stiff systems
- Implicit peer methods for large stiff ODE systems
- Multi-implicit peer two-step W-methods for parallel time integration
- Matrix Completions, Norms, and Hadamard Products
- Comparing numerical methods for stiff systems of O.D.E:s
- Parallel Two-Step W-Methods with Peer Variables
- Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
- On the zero-stability of variable stepsize multistep methods: The spectral radius approach
