Numerical Mathematics

• Κύριοι συγγραφείς: Quarteroni, Alfio (Συγγραφέας), Sacco, Riccardo (Συγγραφέας), Saleri, Fausto (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
• Σειρά: Texts in Applied Mathematics, 37
• Θέματα: 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,...

Πίνακας περιεχομένων:

• 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.