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Pal'tsev Boris Vasil'evich

Publications in Math-Net.Ru

  1. On the eigenfunctions of the Stokes operator in a plane layer with a periodicity condition along it

    Zh. Vychisl. Mat. Mat. Fiz., 54:2 (2014),  286–297
  2. On the structure of steady axisymmetric Navier-Stokes flows with a stream function having multiple local extrema in its definite-sign domains

    Zh. Vychisl. Mat. Mat. Fiz., 53:11 (2013),  1869–1893
  3. To the theory of asymptotically stable second-order accurate two-stage scheme for an inhomogeneous parabolic initial-boundary value problem

    Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013),  538–574
  4. Numerical study of spherical Couette flows for certain zenith-angle-dependent rotations of boundary spheres at low Reynolds numbers

    Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  1095–1133
  5. On the development of iterative methods with boundary condition splitting for solving boundary and initial-boundary value problems for the linearized and nonlinear Navier–Stokes equations

    Zh. Vychisl. Mat. Mat. Fiz., 51:1 (2011),  74–95
  6. Numerical study of the basic stationary spherical couette flows at low Reynolds numbers

    Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007),  693–716
  7. On the convergence rate and optimization of a numerical method with splitting of boundary conditions for the stokes system in a spherical layer in the axisymmetric case: Modification for thick layers

    Zh. Vychisl. Mat. Mat. Fiz., 46:5 (2006),  858–886
  8. Second-order accurate method with splitting of boundary conditions for solving the stationary axially symmetric Navier–Stokes problem in spherical gaps

    Zh. Vychisl. Mat. Mat. Fiz., 45:12 (2005),  2232–2250
  9. Second-order accurate (up to the axis of symmetry) finite-element implementations of iterative methods with splitting of boundary conditions for Stokes and stokes-type systems in a spherical layer

    Zh. Vychisl. Mat. Mat. Fiz., 45:5 (2005),  846–889
  10. Increasing the rate of convergence of bilinear finite-element realizations of iterative methods by splitting boundary conditions for Stokes-type systems for large values of a singular parameter

    Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2049–2068
  11. Asymptotic behaviour of the spectra of integral convolution operators on a finite interval with homogeneous polar kernels

    Izv. RAN. Ser. Mat., 67:4 (2003),  67–154
  12. Bicubic finite-element implementations of methods with splitting of boundary conditions for a Stokes-type system in a strip under the periodicity condition

    Zh. Vychisl. Mat. Mat. Fiz., 42:2 (2002),  197–221
  13. Exact estimates of the convergence rate of iterative methods with splitting of the boundary conditions for the Stokes-type system in a layer with a periodicity condition

    Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1823–1837
  14. On the spectral and approximating properties of cubic finite-element approximations of the Laplace and first-derivative operators: The periodic case

    Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  754–774
  15. On two-sided estimates, uniform with respect to the real argument and index, for modified Bessel functions

    Mat. Zametki, 65:5 (1999),  681–692
  16. Bilinear finite element implementations of iterative methods with incomplete splitting of boundary conditions for a Stokes-type system on a rectangle

    Zh. Vychisl. Mat. Mat. Fiz., 39:11 (1999),  1828–1854
  17. On some finite element implementations of iterative methods with splitting of boundary conditions for Stokes and Stokes-type systems in a spherical layer: Axially symmetric case

    Zh. Vychisl. Mat. Mat. Fiz., 39:1 (1999),  98–123
  18. On some methods for enhancing the convergence speed for the higher harmonics of bilinear finite element implementations of iterative methods with boundary-condition splitting for a Stokes-type system

    Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998),  956–970
  19. Real properties of bilinear finite element implementations of methods with the splitting of boundary conditions for a Stokes-type system

    Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  247–261
  20. Algorithms based on bilinear finite elements for iterative methods with split boundary conditions for a Stokes-type system in a strip under the periodicity condition

    Zh. Vychisl. Mat. Mat. Fiz., 37:7 (1997),  799–815
  21. Mixed problems with non-homogeneous boundary conditions in Lipschitz domains for second-order elliptic equations with a parameter

    Mat. Sb., 187:4 (1996),  59–116
  22. A rapidly convergent iterative domain-decomposition method for boundary-value problems for a second-order elliptic equation with a parameter

    Zh. Vychisl. Mat. Mat. Fiz., 36:10 (1996),  26–45
  23. The conditions for the convergence of iterative methods with complete splitting of the boundary conditions for the Stokes system in a sphere and a spherical layer

    Zh. Vychisl. Mat. Mat. Fiz., 35:6 (1995),  935–963
  24. On rapidly convergent iterative methods with complete boundary-condition splitting for a multidimensional singularly perturbed system of Stokes type

    Mat. Sb., 185:9 (1994),  109–138
  25. On rapidly converging iterative methods with incomplete splitting of boundary conditions for a multidimensional singularly perturbed system of Stokes type

    Mat. Sb., 185:4 (1994),  101–150
  26. Conditions for the convergence of iterative methods with complete splitting of the boundary conditions for the Stokes system in a circle and an annulus

    Zh. Vychisl. Mat. Mat. Fiz., 34:7 (1994),  1015–1037
  27. Rapidly converging iterative methods with splitting of the boundary conditions for a Stokes-type multidimensional system. Periodic “flows” between parallel walls

    Dokl. Akad. Nauk, 325:5 (1992),  926–931
  28. The multigrid method applied to a finite-element scheme for a two-dimensional Stokes-type system

    Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990),  1797–1803
  29. Conditions ensuring continuity up to the contour and the power behavior in neighborhoods of nodes of the solutions of a homogeneous linear conjugation problem with a piecewise continuous matrix coefficient

    Dokl. Akad. Nauk SSSR, 299:3 (1988),  558–562
  30. Canonical matrix of solutions of a linear conjugation problem with a piecewise continuous matrix coefficient on an elementary piecewise smooth curve

    Dokl. Akad. Nauk SSSR, 297:5 (1987),  1054–1058
  31. On an estimate for the norms of singular integral operators in $L^p$ spaces with weights satisfying the Muckenhoupt condition

    Sibirsk. Mat. Zh., 28:1 (1987),  185–198
  32. A method for constructing a canonical matrix of solutions of a Hilbert problem arising in the solution of convolution equations on a finite interval

    Izv. Akad. Nauk SSSR Ser. Mat., 45:6 (1981),  1332–1390
  33. Convolution equations on a finite interval for a class of symbols having powerlike asymptotics at infinity

    Izv. Akad. Nauk SSSR Ser. Mat., 44:2 (1980),  322–394
  34. A generalization of the Wiener–Hopf method for convolution equations on a finite interval with symbols having power-like asymptotics at infinity

    Mat. Sb. (N.S.), 113(155):3(11) (1980),  355–399
  35. On a class of convolution equations on a finite interval

    Dokl. Akad. Nauk SSSR, 247:1 (1979),  41–44
  36. Boundary value problems for the St. Venant system of equations on a plane

    Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979),  708–725
  37. On the Dirichlet problem for a pseudodifferential equation encountered in the theory of random processes

    Izv. Akad. Nauk SSSR Ser. Mat., 41:6 (1977),  1348–1387
  38. The normal solvability of certain integral equations of the first kind on a segment

    Sibirsk. Mat. Zh., 18:1 (1977),  195–211
  39. On a test for the continuity of the canonical solution matrix of the Hilbert problem

    Dokl. Akad. Nauk SSSR, 226:6 (1976),  1271–1274
  40. The asymptotics of the spectrum and eigenfunctions of convolution operators on a finite interval with a kernel with a homogeneous Fourier transform

    Dokl. Akad. Nauk SSSR, 218:1 (1974),  28–31
  41. The breaking up of the domains in the solution of boundary value problems for Poisson's equation in regions of complicated form

    Zh. Vychisl. Mat. Mat. Fiz., 13:6 (1973),  1441–1458
  42. Expansion in eigenfunctions of integral operators of convolution on a finite interval with kernels whose Fourier transforms are rational. “Weakly” nonselfadjoint regular kernels

    Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972),  591–634
  43. Asymptotic behavior of the eigenvalues of convolution integral operators on a finite interval with kernels whose Fourier transforms are rational

    Dokl. Akad. Nauk SSSR, 194:4 (1970),  774–777
  44. The convergence of the method of successive approximations with decomposition of the boundary conditions in the solution of a boundary value problem for the Navier–Stokes equations

    Zh. Vychisl. Mat. Mat. Fiz., 10:3 (1970),  785–788
  45. Convergence of expansions with respect to a small parameter, introduced into the boundary conditions, for the solutions of a boundary value problem for the Navier–Stokes equations

    Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970),  383–400
  46. The method of small parameter in a boundary value problem for a system of Oseen

    Zh. Vychisl. Mat. Mat. Fiz., 7:5 (1967),  1144–1166
  47. The expansion of solutions of dirichlet's problem and a mixed problem for a biharmonic equation in a series of solutions of reducing problems

    Zh. Vychisl. Mat. Mat. Fiz., 6:1 (1966),  43–51
  48. A higher-dimensional analogue of Morera's theorem

    Sibirsk. Mat. Zh., 4:6 (1963),  1376–1388

  49. Aleksei Alekseevich Dezin (obituary)

    Uspekhi Mat. Nauk, 64:3(387) (2009),  167–173
  50. In Memory of Professor Aleksei Alekseevich Dezin (1923–2008)

    Zh. Vychisl. Mat. Mat. Fiz., 49:2 (2009),  397–400
  51. Correction

    Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005),  1728
  52. Aleksei Alekseevich Dezin (on his 80th birthday)

    Uspekhi Mat. Nauk, 58:6(354) (2003),  185–188
  53. Correcton to: “On finite-element realizations of iterative and Stokes-type systems in a spherical layer. The axisymmetric case”

    Zh. Vychisl. Mat. Mat. Fiz., 40:4 (2000),  656
  54. Alekseǐ Alekseevich Dezin (on the occasion of his 75th birthday)

    Differ. Uravn., 34:6 (1998),  723–726
  55. Alekseǐ Alekseevich Dezin (on the occasion of his seventieth birthday)

    Differ. Uravn., 29:8 (1993),  1291–1294
  56. Aleksandr Aleksandrovich Abramov (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 41:4(250) (1986),  225–226
  57. Aleksei Alekseevich Dezin (on his sixtieth birthday)

    Uspekhi Mat. Nauk, 39:1(235) (1984),  177–178
  58. Corrections to the paper “On a method of constructing the canonical solution matrix of the Hilbert problem arising in the solution of convolution equations on a finite interval”

    Izv. Akad. Nauk SSSR Ser. Mat., 46:3 (1982),  668

© Steklov Math. Inst. of RAS, 2026