Numerical Analysis, A Second Course

Abstract

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.