Shapranov Aleksandr Viktorovich

Publications in Math-Net.Ru

1. Modification of the Wilson–Frankel kinetic model and atomistic simulation of the rate of melting/crystallization of metals
   
   Matem. Mod., 35:11 (2023),  103–121
2. Atomistic simulation of the coexistence of liquid-vapor phase states for gold and determination of critical parameters
   
   Matem. Mod., 34:3 (2022),  101–116
3. Determination of thermal properties of gold in the region of melting-crystallization phase transition. Molecular dynamic approach
   
   Matem. Mod., 34:1 (2022),  59–80
4. Atomistic modeling of the propagation of the melting/crystallization front for metals based on the generalization of the modified transition state theory
   
   Keldysh Institute preprints, 2021, 090, 20 pp.
5. Molecular dynamic modeling of thermal hysteresis of gold
   
   Keldysh Institute preprints, 2021, 081, 11 pp.
6. Analysis of the error of approximation of two-layer difference schemes for the Korteweg de Vries equation
   
   Keldysh Institute preprints, 2021, 001, 17 pp.
7. Kinetic melting and crystallization stages of strongly superheated and supercooled metals
   
   Matem. Mod., 28:12 (2016),  83–94
8. Modeling of thin film explosive boiling process during homogeneous sub-second heating
   
   Matem. Mod., 26:3 (2014),  125–136
9. Explosive boiling of metals upon irradiation by a nanosecond laser pulse
   
   Kvantovaya Elektronika, 44:4 (2014),  283–285
10. Molecular-dynamic modeling of processes of heating and melting of metals.
    Part II. Computational experiment
    
    Keldysh Institute preprints, 2012, 032, 25 pp.
11. Molecular-dynamic modeling of processes of heating and melting of metals.
    Part I. Model and computational algorithm
    
    Keldysh Institute preprints, 2012, 031, 27 pp.
12. Dynamics of a toroidal plasma cluster and its interaction with an obstacle. Ionization and dynamic characteristics and electromagnetic radiation
    
    TVT, 42:4 (2004),  523–537
13. Dynamic adaptation method for a laminar combustion problem
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001),  648–661
14. The dynamic adaptation method in the Burgers problem
    
    Dokl. Akad. Nauk, 333:2 (1993),  165–169
15. Influence of metastable states on process of pulse laser treatment of superconducting ceramics
    
    Matem. Mod., 5:5 (1993),  30–60
16. Method of dynamical adaption for evolution-type problems with high gradients
    
    Matem. Mod., 5:4 (1993),  32–56