Beitrag zur Naherungsweisen Integration Totaler Differentialgleichungen

By W. Kutta

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Message Passing Neural PDE Solvers (2022, methodology): “The temporal solver is an explicit Runge-Kutta 4 solver (Runge, 1895; Kutta, 1901) with adaptive timestepping.”
Probabilistic ODE Solvers with Runge-Kutta Means (2014, methodology): “Runge-Kutta (RK) methods [9, 10] are standard tools for this purpose.”
Learning Differential Equations that are Easy to Solve (2020, methodology): “Adaptive-step Runge-Kutta ODE Solvers Runge-Kutta methods (Runge, 1895; Kutta, 1901) approximate the solution trajectories of ODEs through a series of small steps, starting at time t 0 .”
RUN beyond the metaphor: An efficient optimization algorithm based on Runge Kutta method (2021, methodology): “The proposed algorithm, Runge Kutta optimizer (RUN), was designed according to the foundations of the Runge Kutta method 3 (Kutta, 1901; 1 https://aliasgharheidari.com/SMA.html 2 https://aliasgharheidari.com/HHO.html 3 For a better presentation of the term, we use the term Runge Kutta in this paper…”
An extensive review of vibration modelling of rolling element bearings with localised and extended defects (2015, methodology): “These are commercial FE packages that use an explicit time integra593 tion scheme [261, 264–274] during the solution phase to solve for time-varying acceleration, velocity, and 594 displacement results.”