Shapeev Vasiliy Pavlovich

Publications in Math-Net.Ru

1. Solution of the Cauchy problem for ordinary differential equations using the collocation and least squares method with the Pade approximation
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:4 (2023),  71–83
2. Development and verification of a simplified hp-version of the least-squares collocation method for irregular domains
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 16:3 (2023),  35–50
3. Numerical solution of an elliptic problem with several interfaces
   
   Num. Meth. Prog., 23:3 (2022),  172–190
4. The hp-version of the least-squares collocation method with integral collocation for solving a biharmonic equation
   
   Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 26:3 (2022),  556–572
5. H-, P-, and HP-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications
   
   Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022),  531–552
6. Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending
   
   J. Sib. Fed. Univ. Math. Phys., 14:6 (2021),  679–689
7. High accuracy numerical solution of elliptic equations with discontinuous coefficients
   
   Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:4 (2021),  88–101
8. A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation
   
   Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 24:3 (2020),  542–573
9. A p-version of the collocation method for solving the Fredholm integral equations of the second kind in the Mathematica environment
   
   Num. Meth. Prog., 20:1 (2019),  1–11
10. Solving elliptic equations in polygonal domains by the least squares collocation method
    
    Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019),  140–152
11. Solving the biharmonic equation with high order accuracy in irregular domains by the least squares collocation method
    
    Num. Meth. Prog., 19:4 (2018),  340–355
12. Solving boundary value problems for partial differential equations in triangular domains by the least squares collocation method
    
    Num. Meth. Prog., 19:1 (2018),  96–111
13. Versions of the collocation and least residuals method for solving problems of mathematical physics in the convex quadrangular domains
    
    Model. Anal. Inform. Sist., 24:5 (2017),  629–648
14. On combining different acceleration techniques at the iterative solution of PDEs by the method of collocations and least residuals
    
    Model. Anal. Inform. Sist., 24:1 (2017),  39–63
15. On combining the techniques for convergence acceleration of iteration processes during the numerical solution of Navier-Stokes equations
    
    Num. Meth. Prog., 18:1 (2017),  80–102
16. Numerical solution of the Poisson equation in polar coordinates by the method of collocations and least residuals
    
    Model. Anal. Inform. Sist., 22:5 (2015),  648–664
17. Simulation of heat transfer processes in laser welding of dissimilar metals with an insert
    
    TVT, 53:6 (2015),  885–890
18. Application of computer algebra systems to the construction of the collocations and least residuals method for solving the 3D Navier–Stokes equations
    
    Model. Anal. Inform. Sist., 21:5 (2014),  131–147
19. Construction and study of high-order accurate schemes for solving the one-dimensional heat equation
    
    Zh. Vychisl. Mat. Mat. Fiz., 54:7 (2014),  1136–1148
20. The method of collocations and least residuals for three-dimensional Navier-Stokes equations
    
    Num. Meth. Prog., 14:3 (2013),  306–322
21. High-accuracy versions of the collocations and least squares method for the numerical solution of the Navier–Stokes equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:10 (2010),  1758–1770
22. Development of the collocations and least squares method
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 14:1 (2008),  41–60
23. Numerical modeling of thermophysical processes in laser-beam welding with formation of a vapor channel
    
    Prikl. Mekh. Tekh. Fiz., 47:5 (2006),  88–96
24. Quasi-one-dimensional model of heat and mass transfer during sublimation of a molecular crystal plate in a plane channel
    
    Prikl. Mekh. Tekh. Fiz., 44:4 (2003),  109–115
25. The collocation and least squares method for numerical solution of Navier–Stokes equations
    
    Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003),  151–171
26. High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:2 (2000),  223–232
27. Mathematical modeling of the heat exchange in a two-zone source of molecular beam epitaxy
    
    Dokl. Akad. Nauk, 343:2 (1995),  166–169
28. Application of symbolic transformations on a computer for investigating the approximation and stability of difference schemes
    
    Zh. Vychisl. Mat. Mat. Fiz., 26:4 (1986),  586–600
29. Intermediate integrals of a second-order partial differential equation with three independent variables
    
    Dokl. Akad. Nauk SSSR, 276:6 (1984),  1339–1343
30. The problem of automatic construction and investigation on a computer of difference schemes in analytic form
    
    Dokl. Akad. Nauk SSSR, 275:3 (1984),  528–532
31. Realization on a computer of an algorithm for studying the consistency of systems of partial differential equations
    
    Dokl. Akad. Nauk SSSR, 261:5 (1981),  1044–1046
32. The method of differential constraints and the problem of the breakdown of an arbitrary discontinuity
    
    Dokl. Akad. Nauk SSSR, 254:4 (1980),  796–798
33. $D$ properties of a system of equations for symmetric gas flows
    
    Dokl. Akad. Nauk SSSR, 244:2 (1979),  308–311
34. $D$ properties of systems of one-dimensional equations for the dynamics of an inelastic continuous medium
    
    Dokl. Akad. Nauk SSSR, 215:5 (1974),  1067–1070
35. Realization of Cartan's method of exterior forms on an electronic computer
    
    Dokl. Akad. Nauk SSSR, 214:4 (1974),  737–738
36. An application of the method of differential relations to the one-dimensional equations of gas dynamics
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1974, no. 11,  69–74


37. Nikolaǐ Nikolaevich Yanenko
    
    Differ. Uravn., 21:1 (1985),  173–177