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Author

Timo Bielitz

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Conference Open access 2026

Identification of Ordinary Differential Equation Surrogates from Numerical Integration with Adaptive Time-Step Schemes

An approach is presented where a neural network surrogate for the state function of the system is trained while being embedded into a numerical integration scheme with step-size control and may be finally used as a substitute for the unknown ODE under investigation.

Timo Bielitz, Dieter Bestle · 0 citations
Open access Aug 2026

Learning Differential Equations From Numerically Integrated Artificial Neural Networks

An approach is presented which proposes the embedding of a neural network based architecture as a substitute for the state function of an ODE into established Runge–Kutta based integration method.

Timo Bielitz, Dieter Bestle · 0 citations

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