Runge-Kutta integration algorithms with built-in estimates of the accumulated truncation error
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Publication:1244790
DOI10.1007/BF02241897zbMath0373.65031OpenAlexW21086365MaRDI QIDQ1244790
Publication date: 1978
Published in: Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02241897
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Cites Work
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- Multistep methods for the numerical solution of ordinary differential equations made self-starting
- Asymptotic expansions for the error of discretization algorithms for non- linear functional equations
- On improving an approximate solution of a functional equation by deferred corrections
- Klassische Runge-Kutta-Formeln fünfter und siebenter Ordnung mit Schrittweiten-Kontrolle
- Numerical solution of ordinary differential equations
- The Numerical Solution of Linear Boundary Value Problems
- Coefficients for the study of Runge-Kutta integration processes
- Local Estimation of the Global Discretization Error
- Local Extrapolation in the Solution of Ordinary Differential Equations