High-order explicit Runge-Kutta pairs with low stage order

DOI10.1016/S0168-9274(96)00041-4zbMath0868.65045OpenAlexW2008845315MaRDI QIDQ5961751

James H. Verner

Publication date: 14 July 1997

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00041-4

zbMATH Keywords

order conditionsexplicit Runge-Kutta methodsstage order

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 (11)

Numerically optimal Runge-Kutta pairs with interpolants ⋮ Runge-Kutta interpolants for high precision computations ⋮ Butcher algebras for Butcher systems ⋮ Probing phase structure of black holes with Lyapunov exponents ⋮ Explicit Runge-Kutta pairs with lower stage-order ⋮ Symmetries of explicit Runge-Kutta methods ⋮ Derivation and implementation of two-step Runge-Kutta pairs ⋮ Optimized explicit Runge-Kutta pair of orders \(9(8)\) ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations ⋮ Additive Runge-Kutta schemes for convection-diffusion-reaction equations ⋮ Quasi stage order conditions for SDIRK methods

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