A proof of the first Dahlquist barrier by order stars

DOI10.1007/BF01934911zbMath0574.65086MaRDI QIDQ1063397

Syvert P. Nørsett, Arieh Iserles

Publication date: 1984

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

convergencezero-stabilityorder starslinear k-step methods

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)

Related Items

Order stars and stiff integrators, Dahlquist's first barrier for multistage multistep formulas

Cites Work

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• Stability and Accuracy of Semi-discretized Finite Difference Methods
• Convergence and stability in the numerical integration of ordinary differential equations
• Order stars and stability theorems
• On the A-Acceptability of Rational Approximations that Interpolate the Exponential Function
• Order Stars and a Saturation Theorem for First-order Hyperbolics
• Finite Difference Forms Containing Derivatives of Higher Order