Automatic error control in the Gauss-type nested implicit Runge–Kutta formula of order 6

DOI10.1515/RJNAMM.2009.009zbMath1168.65368OpenAlexW2172106493MaRDI QIDQ3625669

G. Yu. Kulikov

Publication date: 6 May 2009

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/rjnamm.2009.009

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (4)

High-order accurate continuous-discrete extended Kalman filter for chemical engineering ⋮ Nested implicit Runge-Kutta pairs of Gauss and Lobatto types with local and global error controls for stiff ordinary differential equations ⋮ Testing a new conservative method for solving the Cauchy problem for Hamiltonian systems on test problems ⋮ Embedded symmetric nested implicit Runge-Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems

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