Since 1978
Published in Sarov (Arzamas-16), Nizhegorodskaya oblast

RUSSIAN FEDERAL
NUCLEAR CENTER -
ALL-RUSSIAN RESEARCH INSTITUTE
OF EXPERIMENTAL PHYSICS
 
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List of article author Shestakov

1.A NUMERICAL METHOD FOR SOLVING THE MANDELSCHTAMM - BRILLOUIN FORCED SCATTERING PROBLEM

Yu. F. Kiryanov, I . V. Shestakova
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1979. No.2. С. 12-16.


2.THE TOMI PROGRAM AND METHODS FOR SOLVING A 2-D HEAT CONDUCTION EQUATION

A. D. Gadzhiev, V. N. Pisarev, V. V. Rykovanova, A. A. Shestakov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. No.1. С. 53-65.


3.AN EXACT SOLUTION FOR A SYSTEM OF SPECTRAL RADIANT ENERGY TRANSPORT EQUATIONS

A. A. Shestakov
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. No.2. С. 40-43.


4.NUMERICAL SIMULATION OF WAVE FRONT CONVERSION FOR ANDELSCHTAMM-BRILLOUIN SCATTERING IN FOCUSED BEAMS

Yu. F. Kiryanov, G. G. Kochemasov, N. V. Maslov, I. V. Shestakova
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1988. No.2. С. 72-77.


5.ON TWO APPROACHES ÒÎ SPEEDING-UP ITERATION CONVERGENCY AT NUMERICAL SOLUTION OF RADIATION TRANSFER EQUATION WITH THE "ROMB" METHOD

A. A. Gadzhiev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. No.3. С. 56-65.


6.THE "ROMB" METHOD FOR SOLUTION OF MULTIGROUP RADIATION TRANSFER EQUATION IN P1-APPROXIMATION

A. D. Gadzhiev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. No.3. С. 66-70.


7.THE RHOMB METHOD FOR NUMERICALLY SOLVING THE 2D RADIATION TRANSPORT EQUATION IN MULTIGROUP P1-APPROXIMATION

A.D. Gadzhiev, A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. No.1. С. 41-47.


8.ABOUT ONE VERSION OF THE METHOD OF SELETING DIAGONAL ELEMENTS

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. No.2. С. 71-75.


9.ABOUT SOME EXACT SOLUTIONS TO THE SYSTEM OF ENERGY AND RADIATION TRANSPORT EQUATIONS WITH REGARD TO ANISOTROPIC SCATTERING

A. A. Shestakov
VANT. Ser. Mat. Mod. Fiz. Proc 1991. No.1. С. 23-26.


10.COMPARISON OF ITERATION SPEED-UP TECHNIQUES FOR RADIATION TRANSPORT EQUATION IN P1-APPROXIMATION AND ENERGY EQUATION

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1993. No.2. С. 10-16.


11.EXACT SOLUTIONS OF ENERGY TRANSFER EQUATIONS IN TWO- COMPONENT PLASMA

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1994. No.2. С. 72-77.


12.PRECISE SOLUTIONS OF FOKKER-PLANK EQUATION

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1994. No.4. С. 88-89.


13.EXACT SOLUTIONS FOR THE SYSTEM OF EQUATIONS IN RADIATION GASDYNAMICS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. No.1-2. С. 38-47.


14.NUMERICAL SOLUTION OF ENERGY AND RADIATION TRANSPORT EQUATION SYSTEM IN MULTIGROUP P1-APPROXIMATION INCLUDING COMPTON SCATTERING

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1996. No.1-2. С. 61-74.


15.IMPLICIT FINKTE-DIFFERENCE TECHNIQUES FOR SOLUTION OF TWO-DIMENSIONAL EQUATIONS OF MATHEMATICAL PHYSICS BASED ON DIAMOND-TYPE APPROXIMATION AND THEIR APPLICATION IN MATHEMATICAL SIMULATION OF CONTINUOUS MEDIA MECHANICS AND KINETIC PROCESSES

A.D. Gadzhiev, S.Yu. Kuz´min, S.N. Lebedev, V.N. Pisarev, A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1997. No.1. С. 49.


16.A CONSERVATIVE DIFFERENCE SCHEME FOR SCHRODINGER NONLINEAR EQUATION

Yu.F. Kir´yanov, M.L. Kudryavtseva, N.V. Maslov, I.V. Shestakova
VANT. Ser.: Mat. Mod. Fiz. Proc 1999. No.1. С. 53-60.


17.FENIKS PROGRAM SYSTEM FOR MATHEMATICAL SIMULATION OF CONTINUUM DYNAMICS AND KINETIC PROCESSES AND ITS USE FOR STUDYING THE EVOLUTION OF A SINGLE-MODE GEOMETRIC DEFECT IN LTF-TARGETS

A.D. Gadzhiev, V.V. Gadzhieva, S.N. Lebedev, V.N. Pisarev, E.M. Romanova, V.V. Rykovanova, A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 1999. No.2. С. 41-52.


18.SINARA SOFTWARE PACKAGE FOR NUMERICAL SIMULATION OF EMERGENCY PROCESS DYNAMICS IN FAST REACTORS

V. V. Gadzhieva, N. V. Gorin, A. V. Kim, S. Yu. Kuzmin, S. N. Lebedev, T. V. Lebedeva, G.V. Orlov, V. N. Pisarev, N. V. Ptitsyna, E.M. Romanova, V. V. Rykovanova, O. V. Stryakhnina, E. A. Sozinov, A. A. Shestakov, V. M. Shmakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2000. No.2. С. 63-73.


19.SINARA SOFTWARE PACKAGE FOR COMPUTER SIMULATION OF EMERGENCY PROCESS DYNAMICS IN FAST NEUTRON REACTORS

V. V. Gadzhieva, N. V. Gorin, A. V. Kim, S. Yu. Kuzmin, S. N. Lebedev, T. V. Lebedeva, G.V. Orlov, V. N. Pisarev, N. V. Ptitsyna, E.M. Romanova, V. V. Rykovanova, O. V. Stryakhnina, E. A. Sozinov, A. A. Shestakov, V. M. Shmakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2000. No.3. С. 25-35.


20.TOM4-KD TECHNIQUE FOR COMPUTATIONAL SIMULATING 2D EQUATIONS OF RADIATION TRANSFER IN MULTI-GROUP QUASI-DIFFUSIVE APPROXIMATION

A.D. Gadzhiev, E.M. Romanova, V.N. Seleznev, A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2001. No.4. С. 48-59.


21.EXACT SOLUTIONS IN RADIATION GAS DYNAMICS

A.A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2003. No.1. С. 36-50.


22.ANALYTICAL TESTS FOR SOLVING PROBLEMS OF PARTICLE TRANSFER USING NUMERICAL METHODS

L. A. Kondakov, V. N. Seleznev, O. I. Starodumov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. No.2. С. 28-43.


23.DISCRETE ORDINATE METHOD WITH ARTIFICIAL DISSIPATION (DDAD-SCHEME) FOR NUMERICAL SOLUTION OF NEUTRON TRANSPORT EQUATION

A. D. Gadzhiev, I. A. Kondakov, V. N. Pisarev, O. I. Starodumov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. No.4. С. 13-24.


24.DSn-METHOD WITH ARTIFICIAL DISSIPATION AND DMS-METHOD OF ITERATION ACCELERATION FOR NUMERICAL SOLUTION OF 2D EQUATION OF HEAT RADIATION TRANSPORT IN KINETIC MODEL

A. D. Gadzhiev, V. N. Seleznev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc. 2003. No.4. С. 33-46.


25.NUMERICAL SIMULATIONS OF ID RADIATION TRANSPORT TEST PROBLEMS

V. V. Zav’yalov, M. Yu. Kozmanov, V. N. Seleznev, V. E. Chernyakov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. No.3. С. 26-36.


26.TECHNIQUE OF DIAGONAL MATRIX DEFINITION FOR COMPUTATIONAL SOLUTION OF RADIATIVE TRANSFER EQUATIONS IN P1-APPROXIMATION BY ROMB SCHEME

A. D. Gadzhiev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. No.1. С. 3-13.


27.RHOMB IMPLICIT FINITE-VOLUME METHOD FOR NUMERICAL SOLUTION OF 2D EQUATIONS OF HEAT CONDUCTIVITY ON NON-REGULAR GRIDS WITH TRIANGULAR AND QUDRAN- GULAR CELLS

A. D. Gadzhiev, S. A. Novakovskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2007. No.1. С. 3-13.


28.ITERATION ACCELERATION RDSA METHOD FOR SOLVING ONE-DIMENSIONAL NEUTRON TRANSPORT EQUATION

A. D. Gadzhiev, I. A. Kondakov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2007. No.2. С. 3-19.


29.ON FLOW BEHAVIOUR FOR CERTAIN DIFFERENCE SCHEMES OF HEAT RADIATION TRANSPORT PROBLEMS IN A KINETIC APPROXIMATION

V. V. Zav’yalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2008. No.2. С. 21-30.


30.DIAGONAL ELEMENT ISOLATION METHOD FOR ITERATION ACCELERATION FOR NEUTRON TRANSPORT EQUATION

A. D. Gadzhiev, I. A. Kondakov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2008. No.3. С. 19-31.


31.THE APPLICATION OF THE TVD-APPROACH TO THE HEAT TRANSFER EQUATION IN THE Pi-APPROXIMATION

A. S. Vershinskaya, A. D. Gadzhiev, S. A. Grabovenskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. No.2. С. 21-36.


32.THE APPLICATION OF THE TVD-APPROACH TO THE DSn-APPROXIMATION OF HEAT TRANSFER EQUATIONS

A. D. Gadzhiev, V. V. Zavialov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. No.2. С. 37-48.


33.APPLICATION OF THE TVD-APPROACH TO THE DSn-METHOD FOR THE HEAT RADIATION TRANSPORT EQUATION SOLUTION IN THE AXIALLY-SYMMETRIC RZ-GEOMETRY

A. D. Gadzhiev, V. V. Zavyalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. No.2. С. 30-39.


34.DIAGONAL ELEMENT SINGLING-OUT SCHEMES USED TO SPEED UP ITERATIONS DURING THE THERMAL RADIATION TRANSPORT EQUATION SOLUTION IN DIFFUSION APPROXIMATIONS

A. D. Gadzhiev, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. No.3. С. 15-27.


35.APPLICATION OF THE TVD-APPROACH TO SOLVE THE THERMAL RADIATION TRANSPORT EQUATION WITH QUASIDIFFUSION METHOD

A. D. Gadzhiev, S. A. Grabovenskaya, V. V. Zavyalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. No.3. С. 3-14.


36.ABOUT DIFFUSION PROPERTIES OF THE ROMB SCHEME FOR P1-EQUATIONS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. No.2. С. 56-62.


37.ANALYSIS OF SOME SCHEMES FOR SOLVING RADIATION TRANSPORT EQUATIONS USING THE QUASI-DIFFUSION METHOD

S. A. Grabovenskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2011. No.4. С. 3-15.


38.ANALYSIS OF THE ORDER OF NUMERICAL CONVERGENCE OF THE TVD-SCHEME FOR SOLVING THE HEAT TRANSFER EQUATION IN THE P1-APPROXIMATION

A. S. Vershinskaya, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. No.1. С. 18-33.


39.SIMPLIFIED SOLUTIONS OF FLECK PROBLEMS

V. V. Zavyalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. No.1. С. 45-52.


40.TVD-SCHEME FOR NUMERICAL SOLUTION OF RADIATION TRANSFER IN P1-APPROXIMATION

A. D. Gadzhiev, D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. No.2. С. 48-56.


41.THE METHOD OF DISCRETE ORDINATES WITH TVD-RECON STRUCTION AND A SYNTHETIC METHOD OF ITERATION ACCELERATION FOR THE NUMERICAL SOLUTION OF HEAT TRANSPORT EQUATION

A. A. Gadzhiev, D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. No.3. С. 3-15.


42.FINITE-DIFFERENCE SCHEME GROM FOR THE 2D QUASI-DIFFUSIVE SYSTEM OF THERMAL RADIATION TRANSPORT EQUATIONS

S. A. Grabovenskaya, V. V. Zavyalov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2014. No.3. С. 47-58.


43.INVESTIGATION OF THE ITERATION CONVERGENCE RATE OF THE VDEPF METHOD USED FOR JOINTLY SOLVING THE ENERGY AND RADIATION TRANSPORT EQUATIONS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. No.2. С. 3-16.


44.DSn METHOD WITH TVD RECONSTRUCTION AND SYNTHETIC P1SA ITERATION ACCELERATION FOR NUMERICAL SOLUTION OF THE TWO-DIMENSIONAL THERMAL RADIATION TRANSPORT EQUATION IN THE AXIALLY SYMMETRIC RZ GEOMETRY

A. D. Gadzhiev, D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2016. No.4. С. 3-19.


45.ON THE CONSTRUCTION OF A MONOTONE DIFFERENCE APPROXIMATION SCHEME FOR THE P1-EQUATION SYSTEM

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. No.1. С. 30-45.


46.IMPLICIT FINITE-VOLUME TVD METHOD FOR THE NUMERICAL SOLUTION OF THE 2D THERMAL RADIATION TRANSPORT EQUATION IN THE P1-APPROXIMATION

A. D. Gadzhiev, I. S. Chubareshko, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. No.2. С. 18-29.


47.SOLVING THE 2D THERMAL RADIATION TRANSPORT EQUATION IN THE MULTIGROUP QUASI-TRANSPORT APPROXIMATION

D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. No.3. С. 39-50.


48.A 2D MODEL OF LASER RADIATION PROPAGATION AND ABSORPTION IN ICF TARGETS WITH THE ACCOUNT FOR REFRACTION

A. V. Vronsky, M. N. Chizhkov, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. No.4. С. 14-24.


49.ON ONE BENCHMARK PROBLEM OF LAYERED STRUCTURE COMPRESSION WITH THE ACCOUNT FOR RADIATION TRANSFER IN DIFFERENT APPROXIMATIONS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2017. No.4. С. 25-31.


50.THE GRID EFFECTS IN THE NUMERICAL SIMULATION OF THERMAL RADIATION

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2018. No.4. С. 29-45.


51.NUMERICAL EFFECTS IN THE HEAT TRANSPORT SIMULATION

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. No.1. С. 44-56.


52.TVDR-SCHEMES TO SOLVE A SYSTEM OF RADIATIVE HEAT TRANSFER EQUATIONS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. No.2. С. 17-36.


53.DIFFERENCE SCHEME "URAL" FOR SOLVING A HYPERBOLIC SYSTEM OF P1–EQUATIONS

I. S. Chubareshko, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. No.3. С. 18-34.


54.THE IMPACT OF THE SPECTRAL RADIATION TRANSPORT EFFECTS IN DIFFERENT APPROXIMATIONS ON THE DEVELOPMENT OF SHORT-WAVELENGTH PERTURBATIONS IN THE INERTIAL CONFINEMENT FUSION TARGETS

V. A. Lykov, E. L. Lyagina, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. No.1. С. 17-28.


55.SIMULATION OF LASER RADIATION TRANSPORT AND ABSORPTION IN INDIRECT DRIVE ICF TARGETS

A. V. Vronskiy,
I. S. Chubareshko,A. A. Shestakov

VANT. Ser.: Mat. Mod. Fiz. Proc 2022. No.1. С. 3-16.


56.ON STABILITY OF TVDR DIFFERENCE SCHEMES FOR SOLUTION OF THE 1D RADIATION TRANSPORT EQUATION

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. No.1. С. 16-28.


57.EXACT SOLUTIONS TO THE STATIONARY SYSTEM OF RADIATION AND ENERGY TRANSPORT EQUATIONS IN MULTIDIMENSIONAL CASE

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2023. No.3. С. 3-16.


58.ACCOUNT FOR KINETIC EFFECTS IN APPROXIMATION OF RADIATING HEAT TRANSFER TO COMPUTE RADIATION TRANSFER PROBLEMS

D. A. Koshutin, A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2024. No.1. С. 37-41.


59.50 YEARS OF FLECK PROBLEMS

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2024. No.1. С. 48-56.


60.A TEST PROBLEM WITH ANALYTICAL SOLUTION OF RADIATION AND ENERGY TRANSFER EQUATIONS IN TWO-DIMENSIONAL AXISYMMETRIC CASE

A. A. Shestakov, A. N. Startsev
VANT. Ser.: Mat. Mod. Fiz. Proc 2024. No.2. С. 28-34.


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