Geodesic

Sommaire du Fascicule no. 1

The memory of Michel Deza
p. 4-28
On irrationality measure
p. 29-43
Always nonsingular poliynomials of two projectors
p. 44-64
The generalization of the universal series in Chebyshev polynomials
p. 65-72
A computer proof of the hypothesis about of centroids
p. 73-91
Experimental validation of hypotheses in GeoGebra
p. 92-108
Invariant functions on free groups and special HNN-extensions
p. 109-122
On some convergence tests for alternating series and constant sign series
p. 123-133
On the properties of the prime radical of a weakly artinian Lie algebra
p. 134-142
Numerical characteristics of Leibniz--Poisson algebras
p. 143-159
M.~D.~Grindlinger is a founder of Tula algebraic school (To the 85th anniversary of professor Grindlinger~M.~D.)
p. 160-166

Sommaire du Fascicule no. 2

Congratulations to Z.\,Kh.~Rakhmonov
About ring structures on the set of integers
p. 6-17
Hidden attractors of some multistable systems with infinite number of equilibria
p. 18-33
Some extremal problems for the Fourier transform over the eigenfunctions of the Sturm--Liouville operator
p. 34-53
On fractional linear transformations of forms A.~Thue--M.\,N.~Dobrovolsky--V.\,D.~Podsypanina
p. 54-97
Classification purely real algebraic irrationalities
p. 98-128
The transformation of objects in GeoGebra
p. 129-143
Induced transformations for almost Hermitian structure of linear extensions
p. 144-153
On congruence-coherent Rees algebras and algebras with an operator
p. 154-172
The invariants of generalized $f$-transformations for almost contact metric structures
p. 173-182
The structure of almost Hermitian structures of total space of principal fiber $T^1$-bundle with flat connection over some classes of almost contact metric manifolds
p. 183-194
On the homological description of the Jacobson radical for Lie algebras and the locally nilpotent radical for special Lie algebras
p. 195-204
Two-sided estimates of gamma-function on the real semiaxis
p. 205-221
On the approximation of the flow of events for a Poisson
p. 222-234
$E$-rings of low ranks
p. 235-244
On quasi-endomorphism rings of some strongly indecomposable torsion-free Abelian groups of rank~4
p. 245-255
On homogeneous mappings of mixed modules
p. 256-266
Character sums over shifted powers
p. 267-274
Periodicity and non-periodicity of finite sequences
p. 275-278
The 70th anniversary of professor Valery Georgievich Durnev
p. 279-297
The 80th anniversary of professor Vladimir Konstantinovich Kartashov
p. 298-304
On mathematical research V.\,N.~Kuznetsova (On the occasion of his 70th birthday)
p. 305-314
Boris Veniaminovich Levin. On his 90th anniversary
p. 315-330

Sommaire du Fascicule no. 3

Anniversary of the professor of the Moscow University of Vladimir Anatolyevich Levin
p. 10-14
Modeling the development of large plastic deformations in a rotating disk in the Fidesys program
p. 15-27
Solving fluid-structure interaction problems using the FlowVision and CAE Fidesys software packages
p. 28-43
Influence of spatial interactions of inclusions on the effective elastic tensor of cracked porous medium
p. 44-54
Finite-element modeling of super-plastic forming processes
p. 55-71
About one criteria of strength of rocks
p. 72-87
Results of testing and assessment of the possibility of building a system of specialized solutions for strength analysisbased on CAE Fidesys
p. 88-107
On account of viscous properties of materials in the theory of large elastoplastic strains
p. 108-130
Modeling the motion of a mechanical system consisting of deformable elastic bodies, by integrating two packages: EULER and Fidesys
p. 131-153
Hydrogeomechanical modeling of reservoir by external coupling of specialized computational software and universal CAE Fidesys
p. 154-187
Parallelism in large software packages (why is it difficult to create efficient software)
p. 188-201
Linearization of tensor nonlinear constitutive relations in the problems on stability of flows
p. 202-209
Integral formulas of solutions of the basic linear differential equations of mathematical physics with variable factors
p. 210-234
Modeling of thermal convection in porous media with volumetric heat source using the GeRa code
p. 235-254
Exact solutions of problems of the theory of repeated superposition of large strains for bodies created by successive junction of strained parts
p. 255-279
Reduced order multiscale analysis of moisture degradation in composite materials
p. 280-291
Diffusion of impurity in material under vibration loads
p. 292-305
Implicit finite difference scheme for barotropic gas equations
p. 306-317
Numerical estimation of effective elastic properties of elastomer composites under finite strains using spectral element method with CAE Fidesys
p. 318-331
Non-stationary thermo-diffusion processes in finite one-dimensional crystal
p. 332-351
On the development of the geoinformation panel of mining works safety based on coupled solutions for the prediction of development of the stressed state of the rock and gas flows as a part of structural analysis software CAE Fidesys
p. 352-365
Phase field approach to interaction between phase transformations and plasticity at the nanoscale at large strains
p. 366-380
On the brittle fracture theory by Ya.~Frenkel and A.~Griffith.
p. 381-393
Analysis of stress-strain and limit states in extremely loaded zones of machines and constructions
p. 394-416
The growth of short cracks under cyclic loading: implementation in Fidesys
p. 417-427
Numerical problems of the modeling of natural and industrial processes in the Arctic zone of the Russian Federation
p. 428-443
Movable cellular automaton method as a trend in discrete computational mechanics
p. 444-465
Solidification of water under dynamic compression and its influence on the evolutions of shock waves
p. 466-474
On locking strains in mechanochemistry of chemical reactions fronts
p. 475-487
Tendencies in development of computational mechanics for strength design of aircraft structures
p. 488-505
The composite mechanics package for FYDESIS software
p. 506-523
Theory of repeated superposition of large strains. Development of this theory for solution of multidisciplinary problems. Methods of implementation of this theory for strength analysis in new branches of industry
p. 524-542

Sommaire du Fascicule no. 4

Number-theoretic method in approximate analysis
p. 6-85
The Laplace transform of Dirichlet $L$-functions
p. 86-96
Topical problems concerning~Beatty~sequences
p. 97-106
Distribution of zeros of nondegenerate functions on short cuttings
p. 107-115
Upper and lower estimates of the number of algebraic points in short intervals
p. 116-127
About one approach to construction of chaotic chameleons systems
p. 128-139
Some extremal problems of harmonic analysis and approximation theory
p. 140-167
On fractional moments of the mollified Dirichlet $L$-functions
p. 168-187
The zeta-function is the monoid of natural numbers with unique factorization
p. 188-208
On generalized Jacobians and rational continued fractions in the hyperelliptic fields
p. 209-221
Geometrization of numeration systems
p. 222-245
Coercive estimate and separation theorem for one nonlinear differential operator in a Hilbert space
p. 246-255
Estimates of polynomials in a liouvillean polyadic integer
p. 256-260
On some properties of continued periodic fractions with small length of period related with hyperelliptic fields and $S$-units
p. 261-268
Application of plasticity theory of dilating media to sealing processes of powders of metallic systems
p. 269-285
On the problem of analytical continuation of Dirichlet series with finite coefficients as entire functions onto the complex plane
p. 286-296
On Dirichlet approximation polynomials and some properties of Dirichlet $L$-functions
p. 297-305
New properties of almost nilpotent varieties with integer exponents
p. 306-325
Algebraic lattice in a metric space lattices
p. 326-338
On interpolation of functions of several variables
p. 339-347
In memory of a friend
p. 348-351