Derivation of three-derivative Runge-Kutta methods

DOI10.1007/s11075-016-0147-2zbMath1355.65098OpenAlexW2404939644MaRDI QIDQ503367

Mukaddes Ökten Turacı, Turgut Öziş

Publication date: 12 January 2017

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-016-0147-2

zbMATH Keywords

algorithmnumerical examplesorder conditionsrooted treesmulti-derivative Runge-Kutta methodstwo-derivative Runge-Kutta methods

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)

Strong stability-preserving three-derivative Runge-Kutta methods ⋮ A Hermite WENO reconstruction for fourth order temporal accurate schemes based on the GRP solver for hyperbolic conservation laws ⋮ On explicit two-derivative two-step Runge-Kutta methods ⋮ THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation ⋮ Optimized low-dispersion and low-dissipation two-derivative Runge-Kutta method for wave equations ⋮ Parallel-in-time high-order multiderivative IMEX solvers ⋮ Exponentially fitted two-derivative DIRK methods for oscillatory differential equations ⋮ Trigonometrically fitted three-derivative Runge-Kutta methods for solving oscillatory initial value problems ⋮ New two-derivative implicit-explicit Runge-Kutta methods for stiff reaction-diffusion systems ⋮ Stability of implicit multiderivative deferred correction methods ⋮ Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws

Uses Software

• RODAS

Cites Work

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