Mysovskikh Ivan Petrovich

Publications in Math-Net.Ru

1. Cubature formulas that are exact for trigonometric polynomials
   
   Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998),  1114–1117
2. A representation of the reproducing kernel of a sphere
   
   Zh. Vychisl. Mat. Mat. Fiz., 36:3 (1996),  28–34
3. Reproducing kernels of a sphere and its surface
   
   Zh. Vychisl. Mat. Mat. Fiz., 33:6 (1993),  952–958
4. Cubature formulas that are exact for trigonometric polynomials
   
   Dokl. Akad. Nauk SSSR, 296:1 (1987),  28–31
5. Quadrature formulae of the highest trigonometric degree of accuracy
   
   Zh. Vychisl. Mat. Mat. Fiz., 25:8 (1985),  1246–1252
6. Calculation of integrals over the surface of the sphere
   
   Dokl. Akad. Nauk SSSR, 235:2 (1977),  269–272
7. Čakalov's theorem
   
   Zh. Vychisl. Mat. Mat. Fiz., 15:6 (1975),  1589–1593
8. An application of orthogonal polynomials to the construction of cubature formulas
   
   Zh. Vychisl. Mat. Mat. Fiz., 12:2 (1972),  467–475
9. The answer to a question of Radon
   
   Dokl. Akad. Nauk SSSR, 198:3 (1971),  537–539
10. On the article “Cubature formulae and orthogonal polynomials”
    
    Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970),  444–447
11. Estimate of the remainder of a cubature formula for a hypersphere
    
    Mat. Zametki, 6:5 (1969),  627–632
12. Radon's cubature formula for a region with central symmetry
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:3 (1969),  687–691
13. Cubature formulae and orthogonal polynomials
    
    Zh. Vychisl. Mat. Mat. Fiz., 9:2 (1969),  419–425
14. On the construction of cubature formulas with the smallest number of nodes
    
    Dokl. Akad. Nauk SSSR, 178:6 (1968),  1252–1254
15. Radon's paper on the cubature formula
    
    Zh. Vychisl. Mat. Mat. Fiz., 7:4 (1967),  889–891
16. Construction of cubature formulas and orthogonal polynomials
    
    Zh. Vychisl. Mat. Mat. Fiz., 7:1 (1967),  185–189
17. Proof of the minimality of the number of nodes in the cubature formula for a hypersphere
    
    Zh. Vychisl. Mat. Mat. Fiz., 6:4 (1966),  621–630
18. Cubature formulae for evaluating integrals on the surface of a sphere
    
    Sibirsk. Mat. Zh., 5:3 (1964),  721–723
19. On the construction of cubature formulae for very simple domains
    
    Zh. Vychisl. Mat. Mat. Fiz., 4:1 (1964),  3–14
20. An error bound for the numerical solution of a nonlinear integral equation
    
    Dokl. Akad. Nauk SSSR, 153:1 (1963),  30–33
21. Cubature formulas for evaluating integrals over a sphere
    
    Dokl. Akad. Nauk SSSR, 147:3 (1962),  552–555
22. An error estimate for the numerical solution of a linear integral equation
    
    Dokl. Akad. Nauk SSSR, 140:4 (1961),  763–765
23. On an estimate of the error in eigenvalues calculated by replacing the kernel by another close to it
    
    Mat. Sb. (N.S.), 49(91):3 (1959),  331–340
24. Estimate of the error of approximate methods of investigation of eigenvalues of a Hermite kernel
    
    Mat. Sb. (N.S.), 48(90):2 (1959),  137–148
25. Representation of the resolvent of the sum of two kernels
    
    Mat. Sb. (N.S.), 46(88):1 (1958),  77–90
26. Computation of the eigenvalues of integral equations by means of iterated kernels
    
    Dokl. Akad. Nauk SSSR, 115:1 (1957),  45–48
27. Proof of the existence of an eigenvalue for a symmetric kernel
    
    Uspekhi Mat. Nauk, 11:2(68) (1956),  199–200
28. On the convergence of Newton's method
    
    Trudy Mat. Inst. Steklov., 28 (1949),  145–147


29. Georgii Georgievich Rasputin (obituary)
    
    Zh. Vychisl. Mat. Mat. Fiz., 32:6 (1992),  991
30. Sergei Mikhailovich Lozinskii (obituary)
    
    Uspekhi Mat. Nauk, 41:5(251) (1986),  153–154
31. Sergei Mikhailovich Lozinskii (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 30:2(182) (1975),  229–234
32. Elements of numerical analysis: Singer, J., New York–London, 1964. Book review
    
    Zh. Vychisl. Mat. Mat. Fiz., 5:2 (1965),  389
33. Sergei Mikhailovich Lozinskii (on his fiftieth birthday)
    
    Uspekhi Mat. Nauk, 19:6(120) (1964),  207–212
34. Letter to the Editor
    
    Mat. Sb. (N.S.), 47(89):1 (1959),  143