Unconditional Contractivity in the Maximum Norm of Diagonally Split Runge--Kutta Methods

DOI10.1137/S0036142994267576zbMath0873.65074OpenAlexW2082649364MaRDI QIDQ4337453

Lucio Torelli, Alfredo Bellen

Publication date: 12 October 1997

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142994267576

zbMATH Keywords

stabilityorder conditionsdiagonally split Runge-Kutta methodsunconditional contractivitydissipative initial value problem

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

Related Items (7)

Contractivity of continuous Runge-Kutta methods for delay differential equations ⋮ Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions ⋮ A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities ⋮ Unconditionally strong stability preserving extensions of the TR-BDF2 method ⋮ Some applications of continuous Runge-Kutta methods ⋮ Positivity of Runge-Kutta and diagonally split Runge-Kutta methods ⋮ Issues with positivity-preserving Patankar-type schemes

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