Issue N^{o} 2, 1998 
ON INTERACTION OF COMPRESSIONANDDEPRESSIONTYPE WAVES IN SPATIAL CASE
E. N. Zubov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 2. P. 315.
Exact analytical solution is obtained for 3D nonstationary problem of motion of homogeneous initially immovable polytropic gas inside an infinite threeedged angle restricted by three planes, when one of them is promptly removed at t = 0, another plane begins to move into the gas according to some law, and the third plane is immovable rigid wall.

INPUT/OUTPUT SUBSYSTEM STRUCTURE FOR MP3 MULTIPROCESSOR V .M. Vyalukhin, A. M. Lyakishev, A. V. Pastukhov, S. A. Stepanenko, A. A. Kholostov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 1. P. 1619.
Ways of implementation of a highperformance input/output subsystem for MP3 multiprocessor are described. The MP3 structure description is given, the way of MP3 combining with a hostcomputer to create a multicomputer is analyzed and requirements to the input/output subsystem features to satisfy problems to be solved are formulated. Different options о the input/output subsystem features to satisfy problems to be solved are formulated. Different options of the input/output subsystem organization a.re considered. The analysis of several options and selection of the most optimal of them are performed basing on MP3 specifications. The element base choice is substantiated to implement this selected option. Information concerning this subsystem analogs and their performances is given.

INPUT/OUTPUT PROCESSOR FOR MP3 V. M. Vyalukhin, V. V. Dudnik, S. N. Kosarev, A. M. Lyakishev, A. V. Pastukhov, G. A. Popovidchenko VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 1. P. 2024.
The description of circuit engineering implementation of an input/output processor for MP3 multiprocessor is given. The input/output subsystem combining with a multiprocessor is described. The design block diagram is considered and technical specification of principal nodes are presented. The choice of the element base is substantiated and brief description of elements in use is given. Test results are included.

MAGNETIC THERMAL INSULATION IN HIF TARGETS M. D. Churazov, E. A. Zabrodina, N. A. Krasnoborov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 1. P. 2530.
The efficiency of the magnetic thermal insulation is considered for HIF (Heavy Ion Fusion) targets. The brief description of the program system used to perform these estimations is included. The specific power J_{m} may be lowered to the level J_{m} ~ 1000 TW/g by magnetic thermal insulation effects during the target compression with the initial magnetic field B_{0z} ~ 10^{5} Gs.

IMPLICIT CONSERVATIVE MONOTONE SCHEMES OF HIGHER ACCURACY FOR NUMERITCALY SOLVING THE TRANSPORT EQUATION O. S. Sokolov VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 1. P. 3140.
For solving numerically the transport equation, one of the approaches is propped to construct implicit conservative monotone difference schemes of higher accuracy with nonlinear correction of the solution based on DS_{n}method. Requirements to the solution are formulated which establish boundaries for output flow variations. It is shown that solution monotonicity and stability follow from these requirement satisfaction. Approximation of the third and fourth orders of accuracy are constructed. The above requirements allow to correct the solution in the case of their violation with an approximation order lowering to the first order under such correction. High accuracy and monotonicity of solutions obtained using the proposed schemes are demonstrated by test problem computation results.

ON SOME TECHNIQUES FOR SOLVING THE PROBLEM OF AN ORDINARY DIFFERENTIAL EQUATION SYSTEM EIGENVALUES IN MACFMETHOD V. M. Povyshev, A. A. Sadovoi VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 2. P. 4144.
Four techniques for solving the problem of eigenvalues of an ordinary differential equation system of the second order occuring during the calculation of multielectron atom and ion properties using multidimensional angular Coulomb function method (MACFmethod) are discussed in the paper. The comparison is made between Galerkin technique, the technique of Sturm representation of green function, the technique of Sturm representation with chosen asymptotic behaviours, and the technique with approximated asymptotics accounting which provides basic function orthogonality. Practical convergency of the last technique for a sufficiently large equation system is demonstrated.

ELASTICPLASTIC MODEL OF DYNAMIC DEFORMATION OF ^{238}U AND ITS ALLOY WITH M_{o} B. L. Glushak, O. N. Ignatova VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 2. P. 4549.
The semiempirical elasticplastic model for dynamically deforming ^{238}U and its alloy with M_{o} is described. The ball component of the stress tensor is given in the form of MieGrueneisen equation of state. Stress rate is represented as the function of plastic deformation rate , plastic deformation velocity rate , current temperature T and pressure P. Values of the model parameters are given and computation results are compared to experimental data obtained using Kol’skiiHopkinson technique. The range of this model application is restricted by the following parameters of the stressedstrained state: ; .

MASTERING AND DEVELOPMENT OF PROGRAMS AND TECHNIQUES FOR SOLVING ONEDIMENSIONAL ENERGY RELEASE PROBLEMS AT VNIIEF (19541986) I. V. Potugina VANT. Ser. Mat. Mod. Fiz. Proc. 1998. No 2. P. 5059.
Key words: In the middle 1950’s collaborators of VNIIEF Mathematical Division 08 started to master programs and techniques for solving onedimensional energy release problems (KPD) developed at Applied Mathematics Division of the USSR Academy of Science’s Mathematical Institute. By the middle 1960 s the Division 08 has already developed its own programs on their base oriented to operational computation development of KPD programs and techniques depended on the development of computer engineering, ever encreasing complexity of physical systems under consideration and the corresponding improvement of a physical and mathematical model. This paper author was a firsthand participant and a leader of the described scientific and production area within many years.

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