Analysis of the dynamics of local error control via a piecewise continuous residual

DOI10.1007/BF02510916zbMath0907.65077MaRDI QIDQ1387237

Andrew M. Stuart, Desmond J. Higham

Publication date: 2 August 1998

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

dissipativitygradient systemscontractivitylocal error controlcontinuous interpolation

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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Dynamical systems and ergodic theory (37-XX)

Related Items

Analysis of the dynamics of local error control via a piecewise continuous residual ⋮ A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations ⋮ Convergence analysis of the Levenberg–Marquardt method ⋮ Convergence results for the MATLAB ode23 routine

Uses Software

• Matlab
• ode23

Cites Work

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• Invariant curves for variable step size integrators
• Semigroups of linear operators and applications to partial differential equations
• Convergence results for the MATLAB ode23 routine
• Analysis of the dynamics of local error control via a piecewise continuous residual
• Equilibrium states of Runge Kutta schemes
• Does Error Control Suppress Spuriosity?
• The Essential Stability of Local Error Control for Dynamical Systems