Maximum angles of \(\mathrm{A}(\vartheta)\)-stability of backward difference formulae

DOI10.1007/s10543-019-00768-1zbMath1431.65104OpenAlexW2957931669MaRDI QIDQ2300501

Emmanouil Katsoprinakis, Georgios D. Akrivis

Publication date: 27 February 2020

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-019-00768-1

zbMATH Keywords

BDF methodstest equation\(\mathrm{A}(\vartheta)\)-stabilitymaximum angles

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (5)

Maximal regularity for time-stepping schemes arising from convolution quadrature of non-local in time equations ⋮ Optimal subsets in the stability regions of multistep methods ⋮ Exact BDF stability angles with Maple ⋮ The Energy Technique for the Six-Step BDF Method ⋮ An analogue to the A$(\vartheta)$-stability concept for implicit-explicit BDF methods

Uses Software

• RODAS

Cites Work

• Solving Ordinary Differential Equations II
• A note on unconditionally stable linear multistep methods
• A criterion forA(α)-stability of linear multistep methods
• A special stability problem for linear multistep methods
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