\(A\)-stable spline-collocation methods of multivalue type

DOI10.1007/BF01952684zbMath0676.65091MaRDI QIDQ1122952

P. M. Fuchs

Publication date: 1989

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

\(A\)-stabilitysingly-implicit Runge-Kutta methods\(A\)-stable methodsspline-collocation methodsmultivalue type 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)

Cites Work

• Unnamed Item
• On the stability of spline-collocation methods of multivalue type
• Maximale Konvergenzordnung bei der numerischen Lösung von Anfangswertproblemen mit Splines
• Numerische Lösung gewöhnlicher Differentialgleichungen mit Splinefunktionen
• A generalization of singly-implicit methods
• A-stabile Kollokationsverfahren mit mehrfachen Knoten
• C-polynomials for rational approximation to the exponential function
• The real-pole sandwich for rational approximations and oscillation equations
• The Stability Properties of Singly-implicit General Linear Methods
• Charakterisierung der Konvergenzordnung einer Klasse von Kollokationsverfahren
• Order stars and stability theorems

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