Numerical Analysis

A Second Course
Erscheinungsjahr 1987
ISBN: 978-0-89871-250-6
Verlag: Society for Industrial & Applied Mathematics,U.S.

Buch, Englisch, 215 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 316 g

Reihe: Classics in Applied Mathematics

Addresses some of the basic questions in numerical analysis: convergence theorems for iterative methods for both linear and nonlinear equations; discretization error, especially for ordinary differential equations; rounding error analysis; sensitivity of eigenvalues; and solutions of linear equations with respect to changes in the data.

Autoren/Hrsg.

Ortega, James M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Introduction; 1. Linear Algebra; Part I. Mathematical Stability and Ill Conditioning. 2. Systems of Linear Algebraic Equations; 3. 4. Differential and Difference Equations; Part II. Discretization Error; 5. Discretization Error for Initial Problems; 6. Discretization Error for Boundary Value Problems; Part III. Convergence of Iterative Methods; 7. Systems of Linear Equations; 8. Systems of Nonlinear Equations; Part IV. Rounding Error; 9. Rounding Error for Gaussian Elimination; Bibliography; Index.