Stability radius of polynomials occurring in the numerical solution of initial value problems

DOI10.1007/BF01931665zbMath0711.65067OpenAlexW1967645362MaRDI QIDQ922644

Roeland P. van der Marel

Publication date: 1990

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931665

zbMATH Keywords

stability regioncircle conditionstability radius of polynomials

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Stability estimates based on numerical ranges with an application to a spectral method ⋮ Embedded pairs for optimal explicit strong stability preserving Runge-Kutta methods ⋮ New stability results for explicit Runge-Kutta methods ⋮ Monotonicity for Runge-Kutta methods: inner product norms ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations

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