TY  - BOOK
AU  - Ryaben'kii, Victor S.; Tsynkov, Semyon V.
TI  - A theoretical introduction to numerical analysis
SN  - 9781584886075
AV  - QA297 
PY  - 2007///
CY  - Boca Raton
PB  - Chapman & Hall (Taylor & Francis group)
KW  - Mathematics; Analysis
N1  - 1. Introduction;
I. Interpolation of functions. Quadratures;
2. Algebraic interpolation;
3. Trigonometric interpolation;
4. Computation of definite integrals. Quadratures;
II Systems of Scalar equations;
5. Systems of linear algebraic equations: direct methods;
6. Iterative methods for solving linear systems;
7. Overdetermined linear systems. The method of least squares;
8. Numerical solution of nonlinear equations and systems;
III. The method of finite differences for the numerical solution of differential equation;
9. Numerical solution of ordinary differential equations;
10. Finite-difference schemes for partial differential equations;
11. Discontinuous solutions and methods of their computation;
12. Discrete methods for elliptic problems;
IV. The methods of boundary equations for the numerical solution of boundary value problems;
13. Boundary integral equations and the method of boundary elements;
14. Boundary equations with projections and the method of difference potentials
ER  -