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Precisely A(\({\alpha}\))-stable one-leg multistep methods

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Publication:1425208
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DOI10.1023/B:BITN.0000009944.34359.79zbMath1038.65064OpenAlexW2163998724MaRDI QIDQ1425208

Pascal Van Hentenryck, Micha Janssen

Publication date: 15 March 2004

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:bitn.0000009944.34359.79


zbMATH Keywords

stabilityinitial value problemsstiff systemsbackward differentiation formulaone-leg methodstrapezoidal rule


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)


Related Items (2)

One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives ⋮ A Variable Stepsize, Variable Order Family of Low Complexity


Uses Software

  • MATLAB ODE suite



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