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Beitrag zur Naherungsweisen Integration Totaler Differentialgleichungen

W. Kutta
- Vol. 46, pp 435-453
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The article was published on 1901-01-01 and is currently open access. It has received 425 citations till now.

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Neural Ordinary Differential Equations

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Implicit Runge-Kutta processes

TL;DR: In this article, it is assumed that the Taylor expansions for y and y may be terminated at any term with an error of the same order as the first term omitted, and all derivatives exist and are continuous.
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RUN beyond the metaphor: An efficient optimization algorithm based on Runge Kutta method

TL;DR: This study attempts to go beyond the traps of metaphors and introduce a novel metaphor-free population-based optimization based on the mathematical foundations and ideas of the Runge Kutta (RK) method widely well-known in mathematics.
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A survey of direct time-integration methods in computational structural dynamics—I. Explicit methods

TL;DR: Numerical solution methods surveyed here will be of much use to practicing computational/finite element/structural engineers working in the area of dynamics of structures.
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Coefficients for the study of Runge-Kutta integration processes

TL;DR: In this paper, a set of η first order simultaneous differential equations in the dependent variables y 1, y 2, y 3, y 4, y 5, y 6 and the independent variable x is considered.