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: New York, NY : Springer New York : Imprint: Springer, 2007.
• Σειρά: Texts in Applied Mathematics, 37
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Numerical analysis.; Applications of Mathematics.; Analysis.; Numerical Analysis.

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...

Πίνακας περιεχομένων:

• 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.