Some Runge–Kutta Formula Pairs

DOI10.1137/0728027zbMath0726.65082OpenAlexW2045347410MaRDI QIDQ3350697

James H. Verner

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1137/0728027

zbMATH Keywords

optimal pairsglobal ordershigh order pairs of Runge-Kutta formulas

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (12)

Explicit Runge-Kutta pairs appropriate for engineering applications ⋮ Numerically optimal Runge-Kutta pairs with interpolants ⋮ Runge-Kutta pairs of orders 9(8) for use in quadruple precision computations ⋮ Runge–Kutta pairs of orders 8(7) with extended stability regions for addressing linear inhomogeneous systems ⋮ Explicit Runge-Kutta pairs with lower stage-order ⋮ Construction of explicit Runge-Kutta pairs with stiffness detection ⋮ Modified Runge-Kutta Verner methods for the numerical solution of initial and boundary-value problems with engineering applications ⋮ High-order explicit Runge-Kutta pairs with low stage order ⋮ Projection methods for dynamical low-rank approximation of high-dimensional problems ⋮ A parameter study of explicit Runge-Kutta pairs of orders 6(5) ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations ⋮ Runge-Kutta pairs for periodic initial value problems

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