I am doing research by continuously solving ordinary differential equations. I was told in a workshop about the "dense output" which is the Runge Kutta methods with some coefficients replaced by polynomials. Also a researcher told me about collocation methods. For this I would like to know an introductory reference. I would like to know if there are other methods that produce a continuous numerical solution.
Uriel Octavio Moreles
for the "dense output" method I would like to cite the book
Solving Ordinary Differential Equations I
Nonstiff problems by Hairer, Norsett and Wanner
Chapter 2 section 6
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Alexander Pchelintsev
You can use the method of power series.
Article Numerical and physical modeling of the dynamics of the Lorenz system
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