Introduction to numerical analysis /Material type: TextSeries: Texts in applied mathematics, 12Publication details: New York : Springer, c2002Edition: 3rd edDescription: xv, 744 p. : illISBN: 038795452X (acidfree paper); 9788184896572Subject(s): Numerical analysisDDC classification: 519.4 Online resources: Click here to access online | Click here to access online
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1. Error Analysis --
2. Interpolation --
3. Topics in Integration --
4. Systems of Linear Equations --
5. Finding Zeros and Minimum Points by Iterative Methods --
6. Eigenvalue Problems --
7. Ordinary Differential Equations --
8. Iterative Methods for the Solution of Large Systems of Linear Equations. Additional Methods.
This book contains a large amount of information not found in standard textbooks. Written for the advanced undergraduate/beginning graduate student, it combines the modern mathematical standards of numerical analysis with an understanding of the needs of the computer scientist working on practical applications. Among its many particular features are: fully worked-out examples; many carefully selected and formulated problems; fast Fourier transform methods; a thorough discussion of some important minimization methods; solution of stiff or implicit ordinary differential equations and of differential algebraic systems; modern shooting techniques for solving two-point boundary value problems; and basics of multigrid methods.