skip to content
Numerical analysis and scientific computation Preview this item
ClosePreview this item

Numerical analysis and scientific computation

Author: Jeffery J Leader
Publisher: Boston : Pearson/Addison Wesley, c 2004.
Edition/Format:   Print book : English : International edView all editions and formats
Summary:

This text is intended for a first course in Numerical Analysis taken by students majoring in mathematics, engineering, computer science, and the sciences. This text emphasizes the mathematical ideas  Read more...

Getting this item's online copy... Getting this item's online copy...

Find a copy in the library

Getting this item's location and availability... Getting this item's location and availability...

WorldCat

Find it in libraries globally
Worldwide libraries own this item

Details

Document Type: Book
All Authors / Contributors: Jeffery J Leader
ISBN: 0201734990 9780201734997 0321223357 9780321223357
OCLC Number: 249186602
Description: XIII, 590 Seiten : Diagramme ; 24 cm
Contents: 1. Nonlinear Equations. Biscetion and Inverse Linear Interpolation.Newton's Method.The Fixed Point Theorem.Quadratic Convergence of Newton's Method.Variants of Newton's Method.Brent's Method.Effects of Finite Precision Arithmetic.Newton's Method for Systems.Broyden's Method.2. Linear Systems. Gaussian Elimination with Partial Pivoting.The LU Decomposition.The LU Decomposition with Pivoting.The Cholesky Decomposition.Condition Numbers.The QR Decomposition.Householder Triangularization and the QR Decomposition.Gram-Schmidt Orthogonalization and the QR Decomposition.The Singular Value Decomposition.3. Iterative Methods. Jacobi and Gauss-Seidel Iteration.Sparsity.Iterative Refinement.Preconditioning.Krylov Space Methods.Numerical Eigenproblems.4. Polynomial Interpolation. Lagrange Interpolating Polynomials.Piecewise Linear Interpolation.Cubic Splines.Computation of the Cubic Spline Coefficients.5. Numerical Integration. Closed Newton-Cotes Formulas.Open Newton-Cotes Formulas and Undetermined Coeffients.Gaussian Quadrature.Gauss-Chebyshev Quadrature.Radau and Lobatto Quadrature.Adaptivity and Automatic Integration.Romberg Integration.6. Differential Equations. Numerical Differentiation.Euler's Method.Improved Euler's Method.Analysis of Explicit One-Step Methods.Taylor and Runge-Kutta Methods.Adaptivity and Stiffness.Multi-Step Methods.7. Nonlinear Optimization. One-Dimensional Searches.The Method of Steepest Descent.Newton Methods for Nonlinear Optimization.Multiple Random Start Methods.Direct Search Methods.The Nelder-Mead Method.Conjugate Direction Methods.8. Approximation Methods. Linear and Nonlinear Least Squares.The Best Approximation Problem.Best Uniform Approximation.Applications of the Chebyshev Polynomials.Afterword. Bibliography. Answers. Index.
Responsibility: Jeffery J. Leader.
Retrieving notes about this item Retrieving notes about this item

Reviews

User-contributed reviews

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.