Local error estimation and step size control in adaptive linear multistep methods
DOI10.1007/s11075-020-00900-1zbMath1458.65080OpenAlexW3033153040MaRDI QIDQ2220739
Yiannis Hadjimichael, Gustaf Söderlind, Imre Fekete, Carmen Arévalo
Publication date: 25 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-00900-1
initial value problemsadaptivitydifferential equationslinear multistep methodscontrol theorystep size controllocal error estimationtime stepping
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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- Geometric integration of Hamiltonian systems perturbed by Rayleigh damping
- Stability of multistep-methods on variable grids
- A PI stepsize control for the numerical solution of ordinary differential equations
- On the zero-stability of multistep methods on smooth nonuniform grids
- Automatic control and adaptive time-stepping
- Variable steps for reversible integration methods
- Time-step selection algorithms: adaptivity, control, and signal processing
- Adaptive time-stepping and computational stability
- Solving Ordinary Differential Equations I
- The Convergence of Variable-Stepsize, Variable-Formula, Multistep Methods
- Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
- A variable order Runge-Kutta method for initial value problems with rapidly varying right-hand sides
- Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
- Grid-Independent Construction of Multistep Methods
- A Software Platform for Adaptive High Order Multistep Methods
- Solving Ordinary Differential Equations II
- Explicit, Time Reversible, Adaptive Step Size Control
- Digital filters in adaptive time-stepping
- Numerical Methods for Ordinary Differential Equations
- On the zero-stability of variable stepsize multistep methods: The spectral radius approach
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