Runge-Kutta methods revisited for a class of structured strangeness-free differential-algebraic equations

DOI10.1553/ETNA_VOL48S131zbMath1448.65085OpenAlexW2803325358WikidataQ129775754 ScholiaQ129775754MaRDI QIDQ1637983

Nguyen Duy Truong, Vu Hoang Linh

Publication date: 12 June 2018

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php?vol=48&pages=131-155

zbMATH Keywords

stabilityconvergencedifferential-algebraic equationRunge-Kutta methodinitial-value problemstrangeness-free formhalf-explicit method

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) Numerical methods for differential-algebraic equations (65L80)

Related Items (4)

A new numerical technique for index-3 DAEs arising from constrained multibody mechanical systems ⋮ On convergence of continuous half-explicit Runge-Kutta methods for a class of delay differential-algebraic equations ⋮ Stable numerical solution for a class of structured differential-algebraic equations by linear multistep methods ⋮ Multi-block generalized Adams-type integration methods for differential algebraic equations

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