Vol. 2 (2001): Issue 1.

Section 1. Numerical methods and applications

A robust multigrid technique for solving systems of partial differential equations

S.I. Martynenko

1-11
- PDF (Russian)
Numerical modeling and computer algorithm for the process of segregation of alloy impurities at the boundary of an oxidation wave in semiconductor substrates

G.A. Tarnavsky, S.I. Shpak, M.S. Obrecht

12-26
- PDF (Russian)
Signal reconstruction by the method of regularization

V.A. Morozov

27-33
- PDF (Russian)
Parallel methods for finding stable approximate solutions to linear systems with perturbed right-hand sides

V.N. Strakhov, A.V. Strakhov

34-55
- PDF (Russian)
Construction of polynomial approximations for numerical solution of ordinary differential equations

S.K. Tatevyan, N.A. Sorokin, S.F. Zaljotkin

56-64
- PDF (Russian)
Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II

A.B. Bakushinsky, M.Yu. Kokurin

65-91
- PDF (Russian)
Numerical simulation for the problem of dynamics of oxide film growth in semiconductor substrates on the basis of geometrical approach and the Deal-Grove method

A.L. Alexandrov, G.A. Tarnavsky, S.I. Shpak, A.I. Gulidov, M.S. Obrecht

92-111
- PDF (Russian)
Geometric modeling of complex configurations in aerodynamic problems

V.F. Volkov

112-122
- PDF (Russian)
Regularization methods with set extension for solving unstable problems of minimization

F.P. Vasilyev

123-130
- PDF (Russian)
Markov’s formula for numerical integration and its application in orthogonal expansions

S.K. Tatevyan, N.A. Sorokin, S.F. Zaljotkin

131-158
- PDF (Russian)
A three-dimensional family of seven-step Runge-Kutta methods of order six

G.M. Chammud

159-166
- PDF (Russian)
Visualization of diffraction effects in the design of computer-generated holograms

G.M. Agayan, S.Yu. Serezhnikov

167-174
- PDF (Russian)
Application of a least-squares finite element method to the plane problem of elasticity

I.O. Arushanian, G.M. Kobelkov

175-183
- PDF (Russian)

Section 2. Programming

Programming using standardized algorithmic structures with massive parallelism

P.K. Berzigiyarov

1-16
- PDF (Russian)
Comparison of the T-system and MPI based on the EP-problem from the test package NPB 2.3

V.A. Evseenko, M.N. Ivanov, V.Yu. Radygin

17-21
- PDF (Russian)
An approach to construction of automatically scalable isolines

A.V. Pereberin

22-32
- PDF (Russian)
Software architecture modeling

K.V. Akhtyrtchenko, V.V. Leontjev

33-48
- PDF (Russian)
Transaction modeling on architectural level of software design

K.V. Akhtyrtchenko

49-69
- PDF (Russian)
Data parallel programming in the ParJava system

A.I. Avetisyan, I.V. Arapov, S.S. Gaisaryan, V.A. Padaryan

70-87
- PDF (Russian)
An evolutionary algorithm of feature accumulation for the construction of neural networks

V.V. Tiouterev

88-108
- PDF (Russian)
Middleware for high performance computing

V.N. Rychkov, I.V. Krasnoperov, S.P. Kopyssov

109-124
- PDF (Russian)

Section 3.

Application of the Mathcad package to studying iterative methods for solving boundary value problems for ordinary differential equations

S.V. Porshnev

1-6
- PDF (Russian)
Application of the Mathcad package to studying iterative methods for solving boundary value problems for two-dimensional elliptic differential equations

S.V. Porshnev

7-14
- PDF (Russian)
Systematization of wavelet transforms

A.V. Pereberin

15-40
- PDF (Russian)
Solution of linear boundary value problems for systems of ordinary differential equations by Godunov’s method

O.B. Arushanian, S.F. Zaljotkin

41-48
- PDF (Russian)
Numerical modeling of dispersive billiards. Part I

S.V. Porshnev

49-62
- PDF (Russian)
Numerical modeling of dispersive billiards. Part II

S.V. Porshnev

62-69
- PDF (Russian)

Section 4.

The package of application programs for the robust multigrid technique: building blocks and diagnostic tools

S.I. Martynenko

1-6
- PDF (Russian)

Section 1. Numerical methods and applications

A robust multigrid technique for solving systems of partial differential equations

Numerical modeling and computer algorithm for the process of segregation of alloy impurities at the boundary of an oxidation wave in semiconductor substrates

Signal reconstruction by the method of regularization

Parallel methods for finding stable approximate solutions to linear systems with perturbed right-hand sides

Construction of polynomial approximations for numerical solution of ordinary differential equations

Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II

Numerical simulation for the problem of dynamics of oxide film growth in semiconductor substrates on the basis of geometrical approach and the Deal-Grove method

Geometric modeling of complex configurations in aerodynamic problems

Regularization methods with set extension for solving unstable problems of minimization

Markov’s formula for numerical integration and its application in orthogonal expansions

A three-dimensional family of seven-step Runge-Kutta methods of order six

Visualization of diffraction effects in the design of computer-generated holograms

Application of a least-squares finite element method to the plane problem of elasticity

Section 2. Programming

Programming using standardized algorithmic structures with massive parallelism

Comparison of the T-system and MPI based on the EP-problem from the test package NPB 2.3

An approach to construction of automatically scalable isolines

Software architecture modeling

Transaction modeling on architectural level of software design

Data parallel programming in the ParJava system

An evolutionary algorithm of feature accumulation for the construction of neural networks

Middleware for high performance computing

Section 3.

Application of the Mathcad package to studying iterative methods for solving boundary value problems for ordinary differential equations

Application of the Mathcad package to studying iterative methods for solving boundary value problems for two-dimensional elliptic differential equations

Systematization of wavelet transforms

Solution of linear boundary value problems for systems of ordinary differential equations by Godunov’s method

Numerical modeling of dispersive billiards. Part I

Numerical modeling of dispersive billiards. Part II

Section 4.

The package of application programs for the robust multigrid technique: building blocks and diagnostic tools

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