Numerical Methods in Scientific Computing Volume I
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Author(s): G. Dahlquist and Å. Björck
Publisher: SIAM
ISBN: 9780898716443
Format: hardback
717pp
Price: $109.00
Review Date: 23 July 2008
Review: This graduate-level numerical analysis textbook could also be used as a reference for researchers in applied sciences working in scientific computers. The book begins with an introduction to the basic methods and techniques. It discusses, amongst other topics: floating point number systems and estimation and control of errors; different uses of infinite-power series for numerical computations; several topics related to interpolation and approximation; the classical Newton–Cotes rule for equidistant nodes and the Clenshaw–Curtis interpolatory rules for integration, and extrapolation methods and the bisection method, fixed-point iterations and the contraction mapping theorem.