Numerical Mathematics

• Main Authors: Quarteroni, Alfio (Author), Sacco, Riccardo (Author), Saleri, Fausto (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
• Series: Texts in Applied Mathematics, 37
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Applications of Mathematics.; Mathematics, general.; Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.

Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines,...

Table of Contents:

• Series Preface
• Preface
• I Getting Started
• 1. Foundations of Matrix Analysis
• 2 Principles of Numerical Mathematics
• II Numerical Linear Algebra
• 3 Direct Methods for the Solution of Linear Systems
• 4 Iterative Methods for Solving Linear Systems
• 5 Approximation of Eigenvalues and Eigenvectors
• III Around Functions and Functionals
• 6 Rootfinding for Nonlinear Equations
• 7 Nonlinear Systems and Numerical Optimization
• 8 Polynomial Interpolation
• 9 Numerical Integration
• IV Transforms, Differentiation and Problem Discretization
• 10 Orthogonal Polynomials in Approximation Theory
• 11 Numerical Solution of Ordinary Differential Equations
• 12 Two-Point Boundary Value Problems
• 13 Parabolic and Hyperbolic Initial Boundary Value Problems
• References
• Index of MATLAB Programs
• Index.