Exploring ODEs
by Lloyd N. Trefethen, Ásgeir Birkisson, Tobin A. Driscoll · SIAM / University of Oxford
SIAM textbook by Trefethen, Birkisson and Driscoll, released free as a PDF by the authors. Treats initial value problems, boundary value problems, stiffness, blow-up and chaos, illustrating each concept with short Chebfun computations and roughly 400 generated figures. Bridges the gap between symbolic IVP technique and what solutions really do: every example is solved numerically and plotted, so learners see stiffness, sensitivity to initial data and finite-time blow-up rather than reading about them.
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