Stability of explicit Runge-Kutta methods

DOI10.1016/0898-1221(84)90072-5zbMath0571.65061OpenAlexW2054655734MaRDI QIDQ1061464

Lawrence F. Shampine

Publication date: 1984

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(84)90072-5

zbMATH Keywords

Runge-Kutta methodsstiff problemslarge Lipschitz constants

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 (6)

Explicit two-step methods for second-order linear IVPs ⋮ Low order practical Runge-Kutta-Nyström methods ⋮ Stability of some continuously imbedded Runge-Kutta methods of Sarafyan ⋮ Control of local error stabilizes integrations ⋮ A hybrid discontinuous in space and time Galerkin method for wave propagation problems ⋮ Runge-Kutta triples

Cites Work

• On the stability of semi-implicit methods for ordinary differential equations
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