Dem'yanovich Yuri Kazimirovich

Publications in Math-Net.Ru

1. Embedding of spaces and wavelet decomposition
   
   Algebra i Analiz, 31:3 (2019),  55–81
2. Adaptive wavelet decomposition of matrix flows
   
   Zap. Nauchn. Sem. POMI, 463 (2017),  112–131
3. Realization of the spline-wavelet decomposition of the first order
   
   Zap. Nauchn. Sem. POMI, 453 (2016),  33–73
4. Two-sided estimates of some coordinate splines
   
   Zap. Nauchn. Sem. POMI, 439 (2015),  74–92
5. Spline-wavelet decomposition on an interval
   
   Zap. Nauchn. Sem. POMI, 428 (2014),  107–131
6. Standing waves in spline-wavelet decomposition of the first order
   
   Mat. Model., 25:1 (2013),  113–119
7. On $B_\varphi$-spline approximation
   
   Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2013, no. 3,  67–72
8. Spline-wavelet coarsening of Courant-type approximations
   
   Zap. Nauchn. Sem. POMI, 419 (2013),  77–110
9. Spline-wavelets in the case of a single local coarsening of the grid
   
   Zap. Nauchn. Sem. POMI, 405 (2012),  97–118
10. Nonsmooth spline-wavelet decompositions and their properties
    
    Zap. Nauchn. Sem. POMI, 395 (2011),  31–60
11. Embedded spaces and wavelets on a manifold
    
    Zap. Nauchn. Sem. POMI, 382 (2010),  15–37
12. Wavelets on a manifold
    
    Dokl. Akad. Nauk, 424:2 (2009),  156–160
13. Splines and biorthogonal systems
    
    Zap. Nauchn. Sem. POMI, 367 (2009),  9–26
14. On wavelet decompositions of linear spaces over arbitrary field and some applications
    
    Mat. Model., 20:11 (2008),  104–108
15. Asymptotic decompositions for coordinate splines
    
    Zap. Nauchn. Sem. POMI, 359 (2008),  17–30
16. Wavelet decompositions on a manifold
    
    Zap. Nauchn. Sem. POMI, 346 (2007),  26–38
17. Wavelet basis of $B_\varphi$-splines for irregular net
    
    Mat. Model., 18:10 (2006),  123–126
18. Local wavelet basis for an irregular grid
    
    Zap. Nauchn. Sem. POMI, 334 (2006),  84–110
19. Embedded Spaces of Trigonometric Splines and Their Wavelet Expansion
    
    Mat. Zametki, 78:5 (2005),  658–675
20. On smoothness of splines
    
    Mat. Model., 16:12 (2004),  40–43
21. Quasi-Hermitian splines of second order
    
    Num. Meth. Prog., 5:1 (2004),  229–239
22. Caliber relation for $B$-splines on nonuniform grid
    
    Mat. Model., 13:9 (2001),  98–100
23. On the embedding of minimal spline spaces
    
    Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000),  1012–1029
24. Finite-element approximation on manifolds
    
    Mat. Model., 8:9 (1996),  25–30
25. Local approximations on manifolds and weighted estimates
    
    Zap. Nauchn. Sem. LOMI, 139 (1984),  125–138
26. On the construction of the spaces of local functions with unregular gridpoint
    
    Zap. Nauchn. Sem. LOMI, 124 (1983),  140–163
27. Successive approximation by spaces of local functions
    
    Zap. Nauchn. Sem. LOMI, 111 (1981),  31–51
28. On the evaluation of truncation error of the projection methods in the problem of best approximation
    
    Zap. Nauchn. Sem. LOMI, 102 (1980),  5–18
29. On the construction of the homogeneous spaces of local functions and on the inverse theorems of approximations
    
    Zap. Nauchn. Sem. LOMI, 90 (1979),  5–23
30. Stability and length of computations in the variational-difference method
    
    Zap. Nauchn. Sem. LOMI, 80 (1978),  5–29
31. A weighted estimate of best approximations in $L_2(\Omega)$
    
    Mat. Zametki, 22:2 (1977),  245–255
32. Foundation of the synthesis method
    
    Zap. Nauchn. Sem. LOMI, 70 (1977),  19–48
33. Estimates of rate of convergence of best approximations by local functions
    
    Zap. Nauchn. Sem. LOMI, 58 (1976),  22–37
34. On a net approximation of functions of Sobolev spaces
    
    Zap. Nauchn. Sem. LOMI, 35 (1973),  6–11
35. On stability of projection methods
    
    Zap. Nauchn. Sem. LOMI, 23 (1971),  7–15
36. Uniform convergence of variation-grid schemes
    
    Dokl. Akad. Nauk SSSR, 185:2 (1969),  264–266
37. The rate of convergence of projection methods for parabolic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:2 (1968),  344–362
38. Convergence rate estimates for some projection methods of solving elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 8:1 (1968),  79–96
39. Estimates of the rate of convergence of certain projection methods of solving elliptic equations
    
    Dokl. Akad. Nauk SSSR, 174:3 (1967),  518–521
40. Approximation and convergence of the method of nets in elliptic problems
    
    Dokl. Akad. Nauk SSSR, 170:1 (1966),  27–30
41. The stability of the net method for elliptic problems
    
    Dokl. Akad. Nauk SSSR, 164:1 (1965),  20–23
42. The method of nets for certain problems of mathematical physics
    
    Dokl. Akad. Nauk SSSR, 159:2 (1964),  250–253


43. Foreword
    
    Mat. Model., 8:9 (1996),  2
44. Solomon Grigor'evich Mikhlin (on his eightieth birthday)
    
    Uspekhi Mat. Nauk, 43:4(262) (1988),  239–240
45. Поправки к статье “Об оценках скорости сходимости некоторых проекционных методов решения эллиптических уравнений” (ДАН, т. 174, № 3, 1967 г.)
    
    Dokl. Akad. Nauk SSSR, 177:6 (1967),  750