Search for highly stable two-step Runge-Kutta methods

DOI10.1016/j.apnum.2012.06.012zbMath1252.65119OpenAlexW2026029552MaRDI QIDQ450896

Raffaele D'Ambrosio, Zdzisław Jackiewicz, Giuseppe Izzo

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2012.06.012

zbMATH Keywords

linear stability analysis\(A\)-stabilityorder conditionstwo-step Runge-Kutta methodsalgebraic stability

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (14)

Strong stability preserving transformed DIMSIMs ⋮ Construction of algebraically stable dimsims ⋮ A general class of linear unconditionally energy stable schemes for the gradient flows ⋮ Algebraic stability and irreducibility of second derivative methods ⋮ Exponentially fitted two-step Runge-Kutta methods: construction and parameter selection ⋮ Explicit Nordsieck methods with extended stability regions ⋮ Two-step diagonally-implicit collocation based methods for Volterra integral equations ⋮ Numerical integration of Hamiltonian problems by G-symplectic methods ⋮ Generalized linear multistep methods for ordinary differential equations ⋮ Nordsieck methods with computationally verified algebraic stability ⋮ Long-term analysis of stochastic \(\theta\)-methods for damped stochastic oscillators ⋮ Stability issues for selected stochastic evolutionary problems: a review ⋮ STRONG STABILITY PRESERVING MULTISTAGE INTEGRATION METHODS ⋮ Multi-value Numerical Methods for Hamiltonian Systems

Uses Software

• RODAS

Cites Work

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