Numerical methods for engineers / Santosh K. Gupta.

CONTENT

Chapter 1: Linear algebraic equations
1.1 Introduction
1.2 Gauss elimination and LU decomposition
1.3 Gauss-Jordan elimination
1.4 Gauss-Seidel and relaxation methods

Chapter 2: Eigenvalues and eigenvectors of matrices
2.1 Introduction
2.2 Faddeev-Leverrier's method
2.3 Power method
2.4 Householder's and Givens' method

Chapter 3: Nonlinear algebraic equations
3.1 Introduction
3.2 Single variable successive substitutions
3.3 Multivariable successive substitutions
etc.

Chapter 4: Function evaluation
4.1 Introduction
4.2 Least squares curve fit
4.3 Newton's divided interpolation formulae
etc.

Chapter 5: Ordinary differential equations: Initial value problems
5.1 Introduction
5.2 Explicit Adams-Bashforth techniques
5.3 Implicit Adams-Moulton techniques
etc.

Chapter 6: Ordinary differential equations boundary value problems
6.1 Introduction
6.2 The finite difference technique
6.3 Orthogonal collocation
etc.

Chapter 7: Partial differential equations
7.1 Introduction
7.2 The finite difference technique
7.3 Orthogonal collocation
7.4 Orthogonal on finite elements
etc.

References : p. 399 - 400 . _ Index : p. 401 - 407.