Cited passages: Tobin A. Driscoll and Richard J. Braun, Fundamentals of Numerical Computation, §5.6.1, equations 5.6.3–5.6.5: integrating the piecewise linear interpolant.
Online text: fncbook.com/lu/
Additional cited passages: §2.8, Definition 2.8.1 and equation (2.8.5); §2.8.1, Theorem 2.8.1 and equation (2.8.6), right-hand-side perturbation bound. The online edition is undated; Tobin A. Driscoll and Richard J. Braun are the whole-book coauthors, with no separate section byline.
Online text: fncbook.com/rk/
Cited passages: Fundamentals of Numerical Computation, §6.4.3, equations 6.4.10–6.4.11: multistage recipe and tableau.
§5.7 of the authors’ online textbook. Its difference-based error estimation is distinguished from a universal accuracy guarantee; no online-edition date is inferred.
Cited passages: §5.7.1, equation 5.7.4: a difference-based error estimate; §5.7.2: interval bisection; Example 5.7.2 and concluding discussion: requested accuracy is not guaranteed.

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