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Passive Runge-Kutta methods -- properties, parametric representation, and order conditions

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Publication:1415405
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DOI10.1023/A:1026039820006zbMath1048.65071OpenAlexW92992053MaRDI QIDQ1415405

K. Ochs, D. Fränken

Publication date: 4 December 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026039820006


zbMATH Keywords

order conditionsparametric representation\(L\)-stabilitysymplecticityalgebraic stabilitylossless methodspassive Runge-Kutta 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)


Related Items (1)

Properties of Runge-Kutta-summation-by-parts methods







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