Two-step error estimators for implicit Runge--Kutta methods applied to stiff systems

DOI10.1145/974781.974782zbMath1072.65105OpenAlexW2071258420WikidataQ113309735 ScholiaQ113309735MaRDI QIDQ5461182

S. Pérez-Rodríguez, S. González-Pinto, Juan I. Montijano

Publication date: 22 July 2005

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/974781.974782

zbMATH Keywords

stabilitynumerical exampleserror estimationstiff systemsRunge-Kutta methodsRadau IIA methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

An adaptive moving mesh finite element solution of the regularized long wave equation ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation ⋮ A study on moving mesh finite element solution of the porous medium equation ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Finite element method of BBM-Burgers equation with dissipative term based on adaptive moving mesh

Uses Software

• RADAU

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