Probabilistic and deterministic convergence proofs for software for initial value problems

DOI10.1023/A:1019169114976zbMath0884.65068OpenAlexW1661172117MaRDI QIDQ1370361

Andrew M. Stuart

Publication date: 12 March 1998

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019169114976

zbMATH Keywords

convergencedynamical systemsasymptotic propertiesadaptive algorithmnumerical stabilityRunge-Kutta methodserror control

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

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