Backward differentiation formulas with extended regions of absolute stability

DOI10.1007/BF01933167zbMath0475.65046MaRDI QIDQ1159446

Brian Christensen, Stig Skelboe

Publication date: 1981

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

backward differentiation formulascontractivityregion of absolute stabilitylinear multistep formula21, 221-231 (1981)stiffly-stable k-step formulas

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)

Cites Work

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• Stability of dynamical systems: A constructive approach
• True worst-case analysis of linear electrical circuits by interval arithmetic
• Implementation of chebyshevian linear multistep formulas
• Some New High-Order Multistep Formulae for Solving Stiff Equations
• The control of order and steplength for backward differentiation methods
• Stiffly Stable Linear Multistep Methods of Extended Order
• Contractive methods for stiff differential equations part I

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