A class of implicit peer methods for stiff systems

DOI10.1016/j.cam.2016.06.014zbMath1372.65198OpenAlexW2474921374MaRDI QIDQ2406654

Rüdiger Weiner, Behnam Soleimani

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.2016.06.014

zbMATH Keywords

superconvergencestiff ODE systemszero stabilityimplicit peer methods

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for stiff equations (65L04)

Related Items (13)

IMEX peer methods for fast-wave-slow-wave problems ⋮ Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods ⋮ Efficient A-stable peer two-step methods ⋮ Variable-stepsize doubly quasi-consistent singly diagonally implicit two-step peer pairs for solving stiff ordinary differential equations ⋮ Explicit and implicit error inhibiting schemes with post-processing ⋮ 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 ⋮ Two-Derivative Error Inhibiting Schemes and Enhanced Error Inhibiting Schemes ⋮ Super-convergent implicit-explicit peer methods with variable step sizes ⋮ A comparison of one-step and two-step W-methods and peer methods with approximate matrix factorization ⋮ Well-Balanced and Asymptotic Preserving IMEX-Peer Methods ⋮ Superconvergent IMEX peer methods

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Unnamed Item
• High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs
• Rosenbrock-type `peer' two-step methods
• Implicit parallel peer methods for stiff initial value problems
• A comparison of AMF- and Krylov-methods in Matlab for large stiff ODE systems
• Superconvergent explicit two-step peer methods
• Explicit two-step peer methods
• Implicit peer methods for large stiff ODE systems
• Multi-implicit peer two-step W-methods for parallel time integration
• The MATLAB ODE Suite
• Comparing numerical methods for stiff systems of O.D.E:s
• Parallel Two-Step W-Methods with Peer Variables

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