Vol. 2 (2001): Issue 1.

Section 1. Numerical methods and applications

1-11
A robust multigrid technique for solving systems of partial differential equations

S.I. Martynenko
12-26
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
27-33
Signal reconstruction by the method of regularization

V.A. Morozov
34-55
Parallel methods for finding stable approximate solutions to linear systems with perturbed right-hand sides

V.N. Strakhov, A.V. Strakhov
56-64
Construction of polynomial approximations for numerical solution of ordinary differential equations

S.K. Tatevyan, N.A. Sorokin, S.F. Zaljotkin
65-91
Conditions of sourcewise representation and rates of convergence of methods for solving ill-posed operator equations. Part II

A.B. Bakushinsky, M.Yu. Kokurin
92-111
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
112-122
Geometric modeling of complex configurations in aerodynamic problems

V.F. Volkov
123-130
Regularization methods with set extension for solving unstable problems of minimization

F.P. Vasilyev
131-158
Markov’s formula for numerical integration and its application in orthogonal expansions

S.K. Tatevyan, N.A. Sorokin, S.F. Zaljotkin
159-166
A three-dimensional family of seven-step Runge-Kutta methods of order six

G.M. Chammud
167-174
Visualization of diffraction effects in the design of computer-generated holograms

G.M. Agayan, S.Yu. Serezhnikov
175-183
Application of a least-squares finite element method to the plane problem of elasticity

I.O. Arushanian, G.M. Kobelkov

Section 2. Programming

1-16
Programming using standardized algorithmic structures with massive parallelism

P.K. Berzigiyarov
17-21
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
22-32
An approach to construction of automatically scalable isolines

A.V. Pereberin
33-48
Software architecture modeling

K.V. Akhtyrtchenko, V.V. Leontjev
49-69
Transaction modeling on architectural level of software design

K.V. Akhtyrtchenko
70-87
Data parallel programming in the ParJava system

A.I. Avetisyan, I.V. Arapov, S.S. Gaisaryan, V.A. Padaryan
88-108
An evolutionary algorithm of feature accumulation for the construction of neural networks

V.V. Tiouterev
109-124
Middleware for high performance computing

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

Section 3.

1-6
Application of the Mathcad package to studying iterative methods for solving boundary value problems for ordinary differential equations

S.V. Porshnev
7-14
Application of the Mathcad package to studying iterative methods for solving boundary value problems for two-dimensional elliptic differential equations

S.V. Porshnev
15-40
Systematization of wavelet transforms

A.V. Pereberin
41-48
Solution of linear boundary value problems for systems of ordinary differential equations by Godunov’s method

O.B. Arushanian, S.F. Zaljotkin
49-62
Numerical modeling of dispersive billiards. Part I

S.V. Porshnev
62-69
Numerical modeling of dispersive billiards. Part II

S.V. Porshnev

Section 4.

1-6
The package of application programs for the robust multigrid technique: building blocks and diagnostic tools

S.I. Martynenko

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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