Fractional step methods for index-1 differential-algebraic equations

DOI10.1016/j.jcp.2004.08.015zbMath1063.65074OpenAlexW2028883973MaRDI QIDQ706842

John Strain, Prashanth K. Vijalapura, Sanjay Govindjee

Publication date: 9 February 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.08.015

zbMATH Keywords

ConvergenceOperator splittingNumerical resultsError boundsDeferred correctionFractional step methodsHigher order methodsIndex-1 differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for differential-algebraic equations (65L80)

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Uses Software

• RODAS

Cites Work

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• Solving Ordinary Differential Equations I
• Splitting methods
• Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
• A new unconditionally stable fractional step method for non‐linear coupled thermomechanical problems
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• On the Construction and Comparison of Difference Schemes

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