Characterization of allA-stable methods of order 2m-4

DOI10.1007/BF01932779zbMath0475.65043MaRDI QIDQ3930562

Gerhard Wanner

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

implicit Runge-Kutta methods\(A\)-stable methods\(A\)-acceptable approximations

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 (7)

Algebraic characterization of \(A\)-stable Runge-Kutta methods ⋮ Quadrature formulas with positive weights ⋮ Constructive characterization of A-stable approximations to exp(z) and its connection with algebraically stable Runge-Kutta methods ⋮ Characterization of low degree A-stable symmetric RK collocation methods ⋮ A-stabile Kollokationsverfahren mit mehrfachen Knoten ⋮ An efficient family of strongly \(A\)-stable Runge-Kutta collocation methods for stiff systems and DAEs. I: Stability and order results ⋮ All symmetric interpolatory block-implicit methods of order less than six are A-stable

Cites Work

• The real-pole sandwich for rational approximations and oscillation equations
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• Order stars and stability theorems
• On rational approximations to the exponential
• OnA-stable implicit Runge-Kutta methods
• Stability Criteria for Implicit Runge–Kutta Methods

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