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Shapeev, Vasiliy Pavlovich
Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 36

Number of views:
This page:1212
Abstract pages:10819
Full texts:6962
References:724
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person48027
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/203158
https://elibrary.ru/author_items.asp?authorid=2380
https://orcid.org/0000-0001-6761-7273
https://www.webofscience.com/wos/author/record/J-7816-2018
https://www.scopus.com/authid/detail.url?authorId=8948291400

Publications in Math-Net.Ru Citations
2023
1. V. P. Shapeev, “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  mathnet
2. L. S. Bryndin, V. A. Belyaev, V. P. Shapeev, “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  mathnet
2022
3. V. P. Shapeev, L. S. Bryndin, V. A. Belyaev, “Numerical solution of an elliptic problem with several interfaces”, Num. Meth. Prog., 23:3 (2022),  172–190  mathnet 1
4. V. P. Shapeev, L. S. Bryndin, V. A. Belyaev, “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  mathnet 4
5. V. A. Belyaev, L. S. Bryndin, S. K. Golushko, B. V. Semisalov, V. P. Shapeev, “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  mathnet  elib; Comput. Math. Math. Phys., 62:4 (2022), 517–537  scopus 8
2021
6. Vasily A. Belyaev, Artem I. Boltaev, Luka S. Bryndin, Sergey K. Golushko, Arsenii G. Gorynin, Vasily P. Shapeev, “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  mathnet  isi
7. V. P. Shapeev, V. A. Belyaev, L. S. Bryndin, “High accuracy numerical solution of elliptic equations with discontinuous coefficients”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 14:4 (2021),  88–101  mathnet
2020
8. E. V. Vorozhtsov, V. P. Shapeev, “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  mathnet 1
2019
9. V. P. Shapeev, E. V. Vorozhtsov, “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  mathnet
10. V. P. Shapeev, L. S. Bryndin, V. A. Belyaev, “Solving elliptic equations in polygonal domains by the least squares collocation method”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:3 (2019),  140–152  mathnet 2
2018
11. V. P. Shapeev, V. A. Belyaev, “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  mathnet 2
12. V. P. Shapeev, V. A. Belyaev, “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  mathnet 1
2017
13. V. A. Belyaev, V. P. Shapeev, “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  mathnet  elib 4
14. V. P. Shapeev, E. V. Vorozhtsov, “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  mathnet  mathscinet  elib
15. E. V. Vorozhtsov, V. P. Shapeev, “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  mathnet 1
2015
16. E. V. Vorozhtsov, V. P. Shapeev, “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  mathnet  mathscinet  elib 2
17. A. N. Cherepanov, V. P. Shapeev, V. I. Isaev, “Simulation of heat transfer processes in laser welding of dissimilar metals with an insert”, TVT, 53:6 (2015),  885–890  mathnet  elib; High Temperature, 53:6 (2015), 841–846  isi  scopus 2
2014
18. V. P. Shapeev, E. V. Vorozhtsov, “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  mathnet 1
19. S. Yu. Komarov, V. P. Shapeev, “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  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 54:7 (2014), 1110–1121  isi  elib  scopus 1
2013
20. V. P. Shapeev, E. V. Vorozhtsov, V. I. Isaev, S. V. Idimeshev, “The method of collocations and least residuals for three-dimensional Navier-Stokes equations”, Num. Meth. Prog., 14:3 (2013),  306–322  mathnet 6
2010
21. V. I. Isaev, V. P. Shapeev, “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  mathnet; Comput. Math. Math. Phys., 50:10 (2010), 1670–1681  isi  scopus 35
2008
22. V. I. Isaev, V. P. Shapeev, “Development of the collocations and least squares method”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:1 (2008),  41–60  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S87–S106  isi  scopus 11
2006
23. A. N. Cherepanov, V. P. Shapeev, V. M. Fomin, L. G. Semin, “Numerical modeling of thermophysical processes in laser-beam welding with formation of a vapor channel”, Prikl. Mekh. Tekh. Fiz., 47:5 (2006),  88–96  mathnet  elib; J. Appl. Mech. Tech. Phys., 47:6 (2006), 688–695 5
2003
24. A. N. Cherepanov, V. P. Shapeev, L. G. Semin, V. K. Cherepanova, I. K. Igumenov, A. N. Mikheev, N. V. Gelfond, N. B. Morozova, “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  mathnet  elib; J. Appl. Mech. Tech. Phys., 44:4 (2003), 543–548 3
25. V. P. Shapeev, L. G. Semin, V. V. Belyaev, “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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S115–S137 2
2000
26. A. V. Shapeev, V. P. Shapeev, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:2 (2000), 213–221 6
1995
27. M. Sh. Shavaliev, V. P. Shapeev, “Mathematical modeling of the heat exchange in a two-zone source of molecular beam epitaxy”, Dokl. Akad. Nauk, 343:2 (1995),  166–169  mathnet  zmath
1986
28. S. I. Mazurik, V. P. Shapeev, “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  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 162–171
1984
29. V. P. Shapeev, “Intermediate integrals of a second-order partial differential equation with three independent variables”, Dokl. Akad. Nauk SSSR, 276:6 (1984),  1339–1343  mathnet  mathscinet  zmath
30. A. N. Valiullin, V. G. Ganzha, V. P. Il'in, V. P. Shapeev, N. N. Yanenko, “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  mathnet  mathscinet  zmath 4
1981
31. V. G. Ganzha, S. V. Meleshko, F. A. Mursin, V. P. Shapeev, N. N. Yanenko, “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  mathnet  mathscinet  zmath 1
1980
32. S. V. Meleshko, V. P. Shapeev, N. N. Yanenko, “The method of differential constraints and the problem of the breakdown of an arbitrary discontinuity”, Dokl. Akad. Nauk SSSR, 254:4 (1980),  796–798  mathnet  mathscinet 1
1979
33. V. E. Raspopov, V. P. Shapeev, N. N. Yanenko, “$D$ properties of a system of equations for symmetric gas flows”, Dokl. Akad. Nauk SSSR, 244:2 (1979),  308–311  mathnet  mathscinet  zmath
1974
34. V. M. Fomin, V. P. Shapeev, N. N. Yanenko, “$D$ properties of systems of one-dimensional equations for the dynamics of an inelastic continuous medium”, Dokl. Akad. Nauk SSSR, 215:5 (1974),  1067–1070  mathnet  mathscinet  zmath
35. E. A. Arais, V. P. Shapeev, N. N. Yanenko, “Realization of Cartan's method of exterior forms on an electronic computer”, Dokl. Akad. Nauk SSSR, 214:4 (1974),  737–738  mathnet  mathscinet  zmath 1
36. V. E. Raspopov, V. P. Shapeev, N. N. Yanenko, “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  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 18:11 (1974), 53–58 1
1985
37. N. N. Bogolyubov, G. I. Marchuk, A. A. Dorodnitsyn, N. P. Erugin, A. A. Samarskii, A. N. Tikhonov, B. G. Kuznetsov, V. P. Shapeev, V. A. Novikov, V. M. Fomin, V. M. Kovenya, “Nikolaǐ Nikolaevich Yanenko”, Differ. Uravn., 21:1 (1985),  173–177  mathnet  mathscinet

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