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Introduction to numerical analysis. Transl. from the German by R. Bartels, W. Gautschi, and C. Witzgall. 3rd ed. (English) Zbl 1004.65001

Texts in Applied Mathematics. 12. New York, NY: Springer. xv, 744 p. (2002).
In this third edition [for a review of the second one (1993) see Zbl 0771.65002 and of the first one (1980) see Zbl 0423.65002], one finds several additions: B-splines are used in the context of multi-resolution methods (application is signal processing), the solution of ordinary differential equations (ODEs) with discontinuities and multiple shooting methods with discontinuities for ODEs depending on parameters (applications in identification), Krylov subspace methods are developed.

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65Dxx Numerical approximation and computational geometry (primarily algorithms)
65G50 Roundoff error
65Fxx Numerical linear algebra
65Hxx Nonlinear algebraic or transcendental equations
65Lxx Numerical methods for ordinary differential equations
65T60 Numerical methods for wavelets