**Series 1**

**MATHEMATICS. MECHANICS. ASTRONOMY**

Volume 1 (59), Issue 1, 2014

№ |
Contents |
Page |

**MATHEMATICS** |

1 |
Empirical convergence bounds for quasi-monte carlo integration
*Antonov A.A., Ermakov S.M.* |
3-11 |

2 |
The green function formulas and transitions field markov property for homogeneous markov chains
*Vorotov A.A.* |
12-22 |

3 |
Accuracy of the estimation of the transfer function of the linear filter
*Grusha A.Yu.* |
23-32 |

4 |
Application von-neumann-ulam scheme to the solution of the first boundary value problem for a parabolic equation
*Sipin A.S.* |
33-44 |

5 |
Recurrent equations for the ruin probability of an insurance company for some risk models
*Tovstik T.M.* |
45-54 |

6 |
On properties of the integrals of legendre polynomial
*Kholshevnikov K.V., Shaidulin V.Sh.* |
55-67 |

7 |
Computational properties of functional a posteriori estimates for stationary reaction-diffusion problem
*Churilova M.A.* |
68-78 |

8 |
The best quadrature formula of markov type for classes functions, which given by modulus of continuity
*Shabozov M.Sh., Shabozova A.A.* |
79-86 |

**MECHANICS** |

9 |
Growth of corrosion cracks and long-term durability of brittle materials
*Arutyunyan A.R., Arutyunyan R.A.* |
87-95 |

10 |
Biomorphic control in the problem of active vibration suppression
*Belyaev A.K., Kotov V.V., Polyanskiy V.A., Smirnova N.A.* |
96-106 |

11 |
Equilibrium state stabilisation of material point on three crank-and-rods supports
*Zuev S.M.* |
107-115 |

12 |
On preservation of the form of the orbit of a microparticle with a variable charge moving in the earth plasmosphere
*Kolesnikov E.K., Yakovlev A.B.* |
116-123 |

13 |
The influence of exchange chemical reactions models on the parameters of air flows behind strong shock waves
*Kunova O.V., Nagnibeda E.A.* |
124-133 |

14 |
Continual model of deformation of graphene
*Morozov N.F., Tovstik P.E., Tovstik T.P.* |
134-143 |

15 |
About mathematical modeling of glaucoma
*Morschinina A.A., Morschinina D.A.* |
144-151 |

16 |
Non-linear vibration of the rotor-housing system
*Pasynkova I.A.* |
152-161 |

17 |
Added masses of an oblate spheroid near a plane wall
*Sabaneev V.S.* |
162-170 |

**ASTRONOMY** |

18 |
Averaged equations of motion in a central field in the presence of a constant in absolute value disturbing acceleration
*Sannikova T.N.* |
171-179 |