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E. Hairer, S.P. Norsett, Gerhard Wanner Solving Ordinary Differential Equations: Nonstiff Problems (Springer Series in Computational Mechanics, Vol 8) Springer Verlag - 1993

Reference Book
The first book of a couple very regarded on Ordinary Differencial Equation topics.Unfortunately, it is often out of stock. Check it, and possibly try ordering an used copy of a previous edition.

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E. Hairer Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (Springer Series in Computational Mathematics, 14) Springer Verlag - 1996

Reference Book
The second book of the a couple, specialized on Stiff problems.

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