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Ryaben'kii, Victor S.; Tsynkov, Semyon V.

A theoretical introduction to numerical analysis - Boca Raton Chapman & Hall (Taylor & Francis group) 2007 - xiii, 537 pp.

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

ISBN: 9781584886075

Subjects--Topical Terms:
Mathematics; Analysis

LC Class. No.: QA297