Resolvent conditions and bounds on the powers of matrices, with relevance to numerical stability of initial value problems

DOI10.1016/S0377-0427(00)00457-XzbMath0973.65062MaRDI QIDQ1841943

Natalia Borovykh, Marc N. Spijker

Publication date: 3 December 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

initial value problemsdelay-differential equationsstability estimateKreiss resolvent condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

On the local Kreiss resolvent condition, Robustness Sensitivities in Large Networks, Asymptotic analysis of powers of matrices, The stability of Radau IIA collocation processes for delay differential equations, The sharpness of stability estimates corresponding to a general resolvent condition, Bounding partial sums of Fourier series in weighted \(L^{2}\)-norms, with applications to matrix analysis

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