Convergence results for the MATLAB ode23 routine

DOI10.1007/BF02510413zbMath0920.65042MaRDI QIDQ1279700

Andrew M. Stuart, Harbir Lamba

Publication date: 27 April 1999

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergenceerror boundRunge-Kutta methodsembedded Fehlberg pairMATLAB Version 4.2MATLAB Version 5.0ode23 routinevariable stepsize methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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 (2)

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

Uses Software

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariant curves for variable step size integrators
• A 3(2) pair of Runge-Kutta formulas
• The role of orthogonal polynomials in numerical ordinary differential equations
• Probabilistic and deterministic convergence proofs for software for initial value problems
• Stepsize selection for tolerance proportionality in explicit Runge-Kutta codes
• Analysis of the dynamics of local error control via a piecewise continuous residual
• The MATLAB ODE Suite
• Equilibrium states of Runge Kutta schemes
• Numerical Solution of Ordinary Differential Equations

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