Circle contractive linear multistep methods

DOI10.1007/BF01939367zbMath0594.65045OpenAlexW1983164901MaRDI QIDQ1077135

Jørgen Sand

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01939367

zbMATH Keywords

linear multistep methodabsolute stability regionsAdams-Moulton formulaecircle contractivity condition

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Efficient Stability-Preserving Numerical Methods for Nonlinear Coercive Problems in Vector Space, Contractivity preserving explicit linear multistep methods, Choices in contractivity theory, Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions, Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations, Stepsize restrictions for boundedness and monotonicity of multistep methods, Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space, Contractivity of Runge-Kutta methods, Strong-stability-preserving additive linear multistep methods, Computation of optimal monotonicity preserving general linear methods, On monotonicity and boundedness properties of linear multistep methods, On a class of multistep methods with strong contractivity properties

Cites Work

• Unnamed Item
• Nonlinear stability behaviour of linear multistep methods
• Contractivity in the numerical solution of initial value problems
• Reducibility and contractivity of Runge-Kutta methods revisited
• Convergence and stability in the numerical integration of ordinary differential equations
• Contractive methods for stiff differential equations Part II