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Numerical Methods in Scientific Computing
Author:
Germund Dahlquist and Åke Björck
Language:

Contents: Principles of Numerical Calculations; How to Obtain and Estimate Accuracy; Series, Operators and Continued Fractions; Interpolation and Related Subjects; Numerical integration; Scalar Nonlin . . . . . |
Numerical Methods for Scientific Computing
Author:
J.H. Heinbockel
Language:

| Topics: Root Finding ,Orthogonal functions,
Finite Differences,
Divided Differences,
Interpolation,
Curve Fitting,
Z-Transforms,
Summation Formula,
Quadrature Formula,
Ordinary Differential E . . . . . |
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Iterative methods for sparse linear systems
Author:
Yousef Saad
Language:

| Easier to implement on parallel computers and more convenient than direct solvers for three-dimensional models, iterative methods are being increasingly applied in scientific and engineering disciplin . . . . . |
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Fundamental Numerical Methods and Data Analysis
Author:
George W. Collins, II
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Contents: Introduction and Fundamental Concepts; The Numerical Methods for Linear Equations and Matrices; Polynomial Approximation, Interpolation, and Orthogonal Polynomials; Numerical Evaluation of D . . . . . |
Lectures on Matrix Computations
Author:
Gene H. Golub
Language:

Topics: Introduction and Preliminaries; More Decompositions; More on the SVD
Generation of Eigenvalue Problems; Methods For Computing the Largest Eigenvalue in Modulus; Finding Other Eigenvalues; P . . . . . |
Numerical Methods Course Notes
Author:
Steven E. Pav
Language:

What started as daily course notes in a numerical methods course blossomed into a manuscript now standing in for the course textbook. only the classical topics are covered. last updated oct 13, 2005. |
Basic Computational Numerical Analysis
Author:
J. M. McDonough
Language:

| Contents: Numerical Linear Algebra; Solution of nonlinear equations; approximation theory; numerical solution of ODEs; Numerical solution of PDEs. |
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Méthodes d\'analyse numérique
Author:
Pascal Viot
Language:

Contenu: Intégration et sommes discrètes; Fonctions spéciales et Evaluation de fonctions; Interpolation de fonctions; Racines d\'équations; Equations différentielles; Transformée de Fourier rapide et . . . . . |
Computational Numerical Analysis of Partial Differential Equatio
Author:
J. M. McDonough
Language:

Contents: 1 Numerical Solution of Elliptic Equations; 2 Time-Splitting Methods for Evolution Equations; 3 Various Miscellaneous Topics. |
NumericalMethods for Large Eigenvalue Problems
Author:
Yousef Saad
Language:

This book was originally published by Manchester University Press (Oxford rd, Manchester, UK) in 1992 -- (ISBN 0 7190 3386 1) and in the US under Halstead Press (John Wiley, ISBN 0 470 21820 7). It i . . . . . |
An Introduction to Total Least Squares
Author:
P. P. N. de Groen
Language:

The method of ``Total Least Squares' is proposed as a more natural way (than ordinary least squares) to approximate the data if both the matrix and and the right-hand side are contaminated by ``errors . . . . . |
Templates for the Solution of Algebraic Eigenvalue Problems.
Author:
Language:

| Contents: A Brief Tour of Eigenproblems; An Introduction to Iterative Projection Methods; Hermitian Eigenvalue Problems; Generalized Hermitian Eigenvalue Problems; Singular Value Decomposition; Non-He . . . . . |
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