Numerical methods. The authentic and exact solution of the differential and algebraic equations in SAE systems of SAPR

Abstract

In the manual classical numerical methods are considered
 and algorithms for the decision of systems of the ordinary differential
 equations (ODE), nonlinear and linear algebraic equations
 (NAU and LAU), and also ways of ensuring reliability and demanded
 accuracy of results of the decision. Ideas, which still not are stated
 are reflected in textbooks on calculus mathematics, namely: decision
 systems the ODE without reduction to a normal form of Cauchy resolved
 rather derivative, and refusal from any numerical an equivalent -
 nykh of transformations of the initial equations of mathematical models and is-
 the hodnykh of data because such transformations can change
 properties of models at a variation of coefficients in corresponding urav-
 neniyakh.
 It is intended for students, graduate students and teachers of higher education institutions
 in the direction of preparation "Informatics and computer facilities".
 The grant will also be useful for engineers and scientists on the corresponding specialties.