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Serdyukova, Svetlana Ivanovna
Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 40

Number of views:
This page:458
Abstract pages:7176
Full texts:2896
References:606
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https://www.mathnet.ru/eng/person42054
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/212056

Publications in Math-Net.Ru Citations
2023
1. M. I. Zuev, S. I. Serdyukova, “Numerical method for estimating the growth rate of the rounding error in uniform metric”, Zh. Vychisl. Mat. Mat. Fiz., 63:9 (2023),  1438–1445  mathnet  elib; Comput. Math. Math. Phys., 63:9 (2023), 1580–1587
2022
2. M. I. Zuev, S. I. Serdyukova, “Simulation of dynamic processes in long Josephson junctions. The problem on calculating the current–voltage characteristics. Numerical method for estimating the round-off error growth rate”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  3–11  mathnet  elib; Comput. Math. Math. Phys., 62:1 (2022), 1–9  isi  scopus 1
2020
3. S. I. Serdyukova, “Simulation of dynamical processes in long Josephson junctions: computation of current-voltage characteristics and round error growth estimation for a second-order difference scheme”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020),  159–166  mathnet  elib; Comput. Math. Math. Phys., 60:1 (2020), 171–178  isi  scopus 2
2012
4. S. I. Serdyukova, “Numerical-analytical method for computing the current-voltage characteristics for a stack of Josephson junctions”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  2093–2100  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:11 (2012), 1590–1596  isi  elib  scopus 1
2010
5. S. I. Serdyukova, “Breather collapse for a dispersive effective equation: asymptotics on the well-posedness boundary”, Zh. Vychisl. Mat. Mat. Fiz., 50:7 (2010),  1276–1284  mathnet  mathscinet; Comput. Math. Math. Phys., 50:7 (2010), 1212–1220  isi  scopus
2007
6. S. I. Serdyukova, “Calculating the coefficients of a discrete elliptic equation from spectral data”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007),  867–881  mathnet  mathscinet; Comput. Math. Math. Phys., 47:5 (2007), 829–842  scopus
2002
7. L. V. Bobyleva, S. I. Serdyukova, “Calculation of defects in two-dimensional tunnel arrays”, Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002),  3–9  mathnet  zmath; Comput. Math. Math. Phys., 42:1 (2002), 1–7 1
1997
8. S. I. Serdyukova, “An inverse problem for a discrete Dirac system”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997),  979–987  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 37:8 (1997), 947–955
1996
9. S. I. Serdyukova, “A CAS REDUCE investigation of the stability of Rusanov's scheme with conditions at domain joints”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996),  90–100  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 36:8 (1996), 1055–1064  isi
1994
10. A. A. Bogolubskaya, S. I. Serdyukova, “The construction of explicit $C$-stable schemes of maximum odd order of accuracy”, Zh. Vychisl. Mat. Mat. Fiz., 34:6 (1994),  943–954  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:6 (1994), 815–825  isi
1993
11. G. S. Kazacha, S. I. Serdyukova, “Numerical investigation of the behaviour of solutions of the sine-Gordon equation with a singularity for large $t$”, Zh. Vychisl. Mat. Mat. Fiz., 33:3 (1993),  417–427  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 33:3 (1993), 377–385  isi 3
1991
12. S. I. Serdyukova, “Necessary and sufficient conditions for stability in $\mathbf{C}$ of linear difference boundary value problems of general form”, Dokl. Akad. Nauk SSSR, 319:6 (1991),  1328–1332  mathnet  mathscinet  zmath; Dokl. Math., 44:1 (1992), 348–353
1990
13. S. I. Serdyukova, “The quasi-Jordan form of analytic matrices that form a bounded semigroup”, Dokl. Akad. Nauk SSSR, 311:4 (1990),  801–806  mathnet  mathscinet  zmath; Dokl. Math., 41:2 (1990), 314–319
14. G. S. Kazacha, Ya. D. Madzharova, S. I. Serdyukova, “One-electron solitons in two-dimensional tunnelling structures”, Zh. Vychisl. Mat. Mat. Fiz., 30:6 (1990),  883–893  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 30:3 (1990), 171–179 1
1989
15. S. I. Serdyukova, “An estimate of the “shade” of additional boundary conditions for systems of difference equations with oblique characteristics of constant sign”, Zh. Vychisl. Mat. Mat. Fiz., 29:12 (1989),  1811–1821  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 29:6 (1989), 147–154
1987
16. S. I. Serdyukova, “Discontinuity diffusion in the forward calculation of a singular hyperbolic equation”, Dokl. Akad. Nauk SSSR, 295:2 (1987),  297–302  mathnet  mathscinet  zmath; Dokl. Math., 36:1 (1988), 69–74
1985
17. N. E. Mazepa, S. I. Serdyukova, “Investigation of the stability of a difference boundary value problem by an analytic computation system”, Izv. Vyssh. Uchebn. Zaved. Mat., 1985, no. 10,  55–61  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 29:10 (1985), 70–77 1
1984
18. S. I. Serdyukova, “Asymptotic estimates of the Green function and the “difference step” in the case of Lipschitz-continuous coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 24:7 (1984),  1016–1029  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 24:4 (1984), 33–42 1
1982
19. S. I. Serdyukova, “Asymptotic properties of difference schemes of maximum odd order of accuracy”, Mat. Zametki, 32:4 (1982),  517–528  mathnet  mathscinet  zmath; Math. Notes, 32:4 (1982), 739–745  isi 1
20. N. S. Bakhvalov, E. P. Zhidkov, E. P. Kadantseva, S. B. Rubin, S. I. Serdyukova, “Numerical modeling of the motion of a dense electron cloud in an inhomogeneous medium”, Zh. Vychisl. Mat. Mat. Fiz., 22:3 (1982),  685–689  mathnet  mathscinet; U.S.S.R. Comput. Math. Math. Phys., 22:3 (1982), 193–198 1
1981
21. S. I. Serdyukova, “Investigation of the stability of a difference boundary value problem approximating a system of acoustics equations with account taken of heat conductivity”, Zh. Vychisl. Mat. Mat. Fiz., 21:6 (1981),  1451–1458  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 21:6 (1981), 89–96
1980
22. S. I. Serdyukova, “On the attainability of the minimum order of error in integrating hyperbolic equations by the finite-difference method in the uniform metric”, Dokl. Akad. Nauk SSSR, 255:6 (1980),  1325–1328  mathnet  mathscinet  zmath 1
23. S. I. Serdyukova, “Asymptotic stability of a difference scheme with boundary conditions depending on the spacing of the grid”, Mat. Zametki, 27:3 (1980),  481–492  mathnet  mathscinet  zmath; Math. Notes, 27:3 (1980), 237–241  isi
1979
24. N. S. Bakhvalov, S. I. Serdyukova, S. B. Rubin, E. P. Kadantseva, E. P. Zhidkov, “The numerical solution of a model selfconsistent electrodynamic problem”, Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1228–1236  mathnet; U.S.S.R. Comput. Math. Math. Phys., 19:5 (1979), 142–151 1
1978
25. S. I. Serdyukova, “Asymptotic stability of a difference boundary value problem”, Zh. Vychisl. Mat. Mat. Fiz., 18:3 (1978),  653–659  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 18:3 (1978), 125–132
1977
26. S. I. Serdyukova, “The stability of boundary value problems for systems of difference equations of varying structure”, Zh. Vychisl. Mat. Mat. Fiz., 17:3 (1977),  690–695  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 17:3 (1977), 127–133
1976
27. N. S. Bakhvalov, V. S. Bondarenko, E. P. Zhidkov, S. B. Rubin, S. I. Serdyukova, “Numerical solution of maxwell's equations in an inhomogeneous region with a moving discontinuity on the right side”, Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  697–704  mathnet  zmath; U.S.S.R. Comput. Math. Math. Phys., 16:3 (1976), 149–156 1
1975
28. S. I. Serdyukova, “The stability of difference boundary value problems with oblique characteristics of constant sign”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975),  1333–1339  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 240–246
1974
29. S. I. Serdyukova, “On the stability of difference boundary-value problems with two boundaries”, Dokl. Akad. Nauk SSSR, 215:2 (1974),  282–285  mathnet  mathscinet  zmath
30. S. I. Serdyukova, “An example of a difference boundary value problem with instability of logarithmic type”, Zh. Vychisl. Mat. Mat. Fiz., 14:1 (1974),  250–253  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 14:1 (1974), 254–257
1973
31. S. I. Serdyukova, “A necessary and sufficient condition for the stability of a certain class of difference boundary value problems”, Dokl. Akad. Nauk SSSR, 208:1 (1973),  52–55  mathnet  mathscinet  zmath
1971
32. S. I. Serdyukova, “On stability of the first boundary value problem involving points of the spectrum on the unit circle”, Dokl. Akad. Nauk SSSR, 200:1 (1971),  39–42  mathnet  mathscinet  zmath
33. S. I. Serdyukova, “The oscillations that arise in numerical calculations of the discontinuous solutions of differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 11:2 (1971),  411–424  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 11:2 (1971), 140–154 4
1970
34. S. I. Serdyukova, “The unconditional uniform stability of a certain difference scheme for the equation $u_t+u_x=0$”, Zh. Vychisl. Mat. Mat. Fiz., 10:1 (1970),  88–98  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:1 (1970), 112–125
1967
35. S. I. Serdyukova, “A necessary and sufficient condition for stability in the uniform metric of systems of difference equations”, Dokl. Akad. Nauk SSSR, 173:3 (1967),  526–528  mathnet  mathscinet  zmath
36. S. I. Serdyukova, “On the stability in a uniform metric of sets of difference equations”, Zh. Vychisl. Mat. Mat. Fiz., 7:3 (1967),  497–509  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:3 (1967), 30–47 3
37. S. I. Serdyukova, “Uniform stability of a six-point scheme of higher order accuracy for the heat equation”, Zh. Vychisl. Mat. Mat. Fiz., 7:1 (1967),  214–218  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:1 (1967), 297–303 2
1966
38. S. I. Serdyukova, “Stability in $C$ of linear difference schemes with constant real coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 6:3 (1966),  477–486  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 6:3 (1966), 89–102 2
1964
39. S. I. Serdyukova, “Uniform stability with respect to the initial data of a six-point symmetric scheme for the heat equation”, Zh. Vychisl. Mat. Mat. Fiz., 4:supplement to № 4 (1964),  212–216  mathnet  mathscinet  zmath
1963
40. S. I. Serdyukova, “An analysis of the stability in $C$ of explicit difference schemes with constant real coefficients, stable in $l_2$”, Zh. Vychisl. Mat. Mat. Fiz., 3:2 (1963),  365–370  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 3:2 (1963), 480–488 2

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