Numerical mathematics

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, s...

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Bibliographic Details
Main Author: Quarteroni, Alfio (-)
Other Authors: Sacco, Riccardo, Saleri, Fausto
Format: eBook
Language:Inglés
Published: New York : Springer c2000.
Edition:1st ed. 2007.
Series:Texts in applied mathematics ; 37.
Subjects:
See on Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009456415706719
Table of Contents:
  • Getting Started
  • Foundations of Matrix Analysis
  • Principles of Numerical Mathematics
  • Numerical Linear Algebra
  • Direct Methods for the Solution of Linear Systems
  • Iterative Methods for Solving Linear Systems
  • Approximation of Eigenvalues and Eigenvectors
  • Around Functions and Functionals
  • Rootfinding for Nonlinear Equations
  • Nonlinear Systems and Numerical Optimization
  • Polynomial Interpolation
  • Numerical Integration
  • Transforms, Differentiation and Problem Discretization
  • Orthogonal Polynomials in Approximation Theory
  • Numerical Solution of Ordinary Differential Equations
  • Two-Point Boundary Value Problems
  • Parabolic and Hyperbolic Initial Boundary Value Problems.