A theoretical introduction to numerical analysis / Victor S. Ryaben'kii, Semyon V. Tsynkov.

Includes bibliographical references (p. 509-519) and index.

Table of Contents. - Ch. 1 Introduction discretization. - Ch. 2 Interpolation of functions. Quadratures. - Ch. 3 Trigonometric interpolation. - Ch. 4 Computation of definite integrals. Quadratures. - Ch. 5 Systems scalars equations. - Ch. 6 Iterative methods for solving linear systems. - Ch. 7 Overdetermined linear systems. the method of least squares. - Ch. 8 Numerical solution of nonlinear equations and systems. - Ch. 9 The method of finite differences for the numerical solution of differential equations. - Ch. 10 Finite-Differences schemes for partial differential equations. - Ch. 11 Discontinuous solutions and methods of their computation. - Ch. 12 Discrete methods for elliptic problems. - Ch. 13 The methods of boundary equations for the numerical solution of boundary value problems. - Ch. 14 Boundary integral equations and the method of boundary elements. - Ch. 15 Boundary equations with projections and the method of difference potentials.