Analysis of Numerical Methods

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Summary: stability,consistence and convergence
Review: consistence,stability and convergence of multistep numerical methods for ordinary differential equations.

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Summary: Not a cookbook w/code. For folks serious about NA.
Review: This is a mathematics book, not a cookbook. It's worth buying this classic just to read the hidden sentence formed by the first letter of each sentence in their preface.

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Summary: Maximum Numerical Analysis / $ in print today!
Review: This is the classic work that explains in detail why numerical methods perform well or poorly. It's the best book I've ever read on Numerical Analysis. Great problems too! From Numerical Linear Algebra to PDE's the basic theory is explained beautifully. If you've ever wondered why iterating the corrector in the predictor-corrector method for solving ODE's doesn't do any good this is the book for you. As an inexpensive Dover paperback this is a real bargain!