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Publications in Math-Net.Ru |
Citations |
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2021 |
1. |
L. F. Yukhno, “Finding root spaces for a linear algebraic spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021), 531–538 ; Comput. Math. Math. Phys., 61:4 (2021), 505–511 |
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2020 |
2. |
A. P. Mikhailov, L. F. Yukhno, “The dynamics of the dissemination of information in society during hype”, Matem. Mod., 32:12 (2020), 129–140 ; Math. Models Comput. Simul., 13:4 (2021), 716–722 |
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2019 |
3. |
L. F. Yukhno, “The elimination problem in the least square method for a system of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1641–1647 ; Comput. Math. Math. Phys., 59:10 (2019), 1575–1581 |
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4. |
A. A. Abramov, L. F. Yukhno, “The least square method for systems of linear ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 972–983 ; Comput. Math. Math. Phys., 59:6 (2019), 915–925 |
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2018 |
5. |
A. A. Abramov, L. F. Yukhno, “Solving the overdetermined problems for systems of linear ordinary differential equations”, Keldysh Institute preprints, 2018, 281, 19 pp. |
6. |
A. A. Abramov, L. F. Yukhno, “Perturbation formulas for a nonlinear eigenvalue problem for ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:6 (2018), 890–894 ; Comput. Math. Math. Phys., 58:6 (2018), 858–862 |
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2017 |
7. |
A. A. Abramov, L. F. Yukhno, “Solving some problems for systems of linear ordinary differential equations with redundant conditions”, Zh. Vychisl. Mat. Mat. Fiz., 57:8 (2017), 1285–1293 ; Comput. Math. Math. Phys., 57:8 (2017), 1277–1284 |
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2016 |
8. |
A. A. Abramov, L. F. Yukhno, “A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1294–1298 ; Comput. Math. Math. Phys., 56:7 (2016), 1264–1268 |
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9. |
A. A. Abramov, L. F. Yukhno, “Principal vectors of a nonlinear finite-dimensional eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 187–192 ; Comput. Math. Math. Phys., 56:2 (2016), 185–190 |
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2015 |
10. |
A. A. Abramov, L. F. Yukhno, “A numerical method for solving systems of nonlinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:11 (2015), 1827–1834 ; Comput. Math. Math. Phys., 55:11 (2015), 1794–1801 |
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11. |
A. A. Abramov, L. F. Yukhno, “A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 599–609 ; Comput. Math. Math. Phys., 55:4 (2015), 597–606 |
2
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12. |
A. A. Abramov, L. F. Yukhno, “Solving a singular nonlocal problem with redundant conditions for a system of linear ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 385–392 ; Comput. Math. Math. Phys., 55:3 (2015), 378–385 |
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2014 |
13. |
A. A. Abramov, L. F. Yukhno, “A solution method for a nonlocal problem for a system of linear differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1752–1755 ; Comput. Math. Math. Phys., 54:11 (2014), 1686–1689 |
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14. |
A. A. Abramov, L. F. Yukhno, “Solving a system of linear ordinary differential equations with redundant conditions”, Zh. Vychisl. Mat. Mat. Fiz., 54:4 (2014), 585–590 ; Comput. Math. Math. Phys., 54:4 (2014), 598–603 |
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2013 |
15. |
A. A. Abramov, L. F. Yukhno, “A method for the numerical solution of the Painlevé equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 702–726 ; Comput. Math. Math. Phys., 53:5 (2013), 540–563 |
3
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16. |
A. A. Abramov, L. F. Yukhno, “Numerical solution of the Painlevé VI equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:2 (2013), 249–262 ; Comput. Math. Math. Phys., 53:2 (2013), 180–193 |
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17. |
A. A. Abramov, L. F. Yukhno, “Numerical solution of the Painlevé V equation”, Zh. Vychisl. Mat. Mat. Fiz., 53:1 (2013), 58–71 ; Comput. Math. Math. Phys., 53:1 (2013), 44–56 |
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2012 |
18. |
A. A. Abramov, L. F. Yukhno, “Numerical solution of the Painlevé IV equation”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012), 2023–2032 ; Comput. Math. Math. Phys., 52:11 (2012), 1565–1573 |
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19. |
A. A. Abramov, L. F. Yukhno, “Numerical solution of the Cauchy problem for the Painlevé; I and II equations”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 379–387 ; Comput. Math. Math. Phys., 52:3 (2012), 321–329 |
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20. |
A. A. Abramov, L. F. Yukhno, “Nonlinear eigenvalue problem for a system of ordinary differential equations subject to a nonlocal condition”, Zh. Vychisl. Mat. Mat. Fiz., 52:2 (2012), 231–236 ; Comput. Math. Math. Phys., 52:2 (2012), 213–218 |
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2011 |
21. |
N. N. Kalitkin, L. F. Yukhno, L. V. Kuzmina, “The quantitative conditionality criterium for the systems of linear algebraic equations”, Matem. Mod., 23:2 (2011), 3–26 ; Math. Models Comput. Simul., 3:5 (2011), 541–556 |
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22. |
A. A. Abramov, L. F. Yukhno, “An efficient method for solving difference systems for elliptic differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2247–2252 ; Comput. Math. Math. Phys., 51:12 (2011), 2115–2120 |
23. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A nonlocal problem for singular linear systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1228–1235 ; Comput. Math. Math. Phys., 51:7 (2011), 1146–1152 |
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2010 |
24. |
L. F. Yukhno, “A modification of minimal iteration methods for solving systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:4 (2010), 595–611 ; Comput. Math. Math. Phys., 50:4 (2010), 567–582 |
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25. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On a singular nonlinear self-adjoint spectral problem for differential-algebraic systems of equations”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 249–254 ; Comput. Math. Math. Phys., 50:2 (2010), 238–243 |
1
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26. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the general nonlinear selfadjoint spectral problem for systems of ordinary differential equations with singularities”, Zh. Vychisl. Mat. Mat. Fiz., 50:1 (2010), 38–43 ; Comput. Math. Math. Phys., 50:1 (2010), 32–37 |
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2009 |
27. |
L. F. Yukhno, “Economic difference scheme for a parabolic equation with a mixed spatial derivative”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1622–1628 ; Comput. Math. Math. Phys., 49:9 (2009), 1547–1553 |
1
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28. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “General nonlinear self-adjoint eigenvalue problem for systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:4 (2009), 624–627 ; Comput. Math. Math. Phys., 49:4 (2009), 602–605 |
4
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29. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the index of the boundary value problem for a homogeneous Hamiltonian system of differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 490–497 ; Comput. Math. Math. Phys., 49:3 (2009), 474–481 |
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2008 |
30. |
L. F. Yukhno, “A stopping criterion for the iterative solution of an overdetermined system of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008), 2083–2091 ; Comput. Math. Math. Phys., 48:12 (2008), 2117–2125 |
31. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the self-adjoint nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations with singularities”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1202–1208 ; Comput. Math. Math. Phys., 48:7 (2008), 1133–1139 |
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32. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “Nonlinear eigenvalue problem for second-order Hamiltonian systems”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 999–1002 ; Comput. Math. Math. Phys., 48:6 (2008), 942–945 |
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2007 |
33. |
L. F. Yukhno, “On modification of certain methods of the conjugate direction type for solving rectangular systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007), 1979–1987 ; Comput. Math. Math. Phys., 47:12 (2007), 1893–1901 |
3
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34. |
L. F. Yukhno, “On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:11 (2007), 1811–1818 ; Comput. Math. Math. Phys., 47:11 (2007), 1737–1744 |
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35. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A method for solving nonlinear spectral problems for a class of systems of differential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:5 (2007), 829–834 ; Comput. Math. Math. Phys., 47:5 (2007), 791–796 |
3
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36. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On certain properties of a nonlinear eigenvalue problem for Hamiltonian systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 47:4 (2007), 638–645 ; Comput. Math. Math. Phys., 47:4 (2007), 612–619 |
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2006 |
37. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A method for solving boundary value problems and spectral problems for linear differential-algebraic systems”, Differ. Uravn., 42:7 (2006), 874–882 ; Differ. Equ., 42:7 (2006), 932–940 |
2
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38. |
L. F. Yukhno, “A modification of conjugate direction methods”, Zh. Vychisl. Mat. Mat. Fiz., 46:1 (2006), 7–11 ; Comput. Math. Math. Phys., 46:1 (2006), 5–9 |
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2005 |
39. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On a method for solving the nonlinear eigenvalue problem for a differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 45:9 (2005), 1575–1579 ; Comput. Math. Math. Phys., 45:9 (2005), 1520–1524 |
2
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40. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On a method for solving boundary value problems for linear differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 45:7 (2005), 1192–1195 ; Comput. Math. Math. Phys., 45:7 (2005), 1151–1154 |
4
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2004 |
41. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “How to Single out Solutions Bounded at a Singular Point for Some Differential-Algebraic Systems”, Differ. Uravn., 40:7 (2004), 893–897 ; Differ. Equ., 40:7 (2004), 954–958 |
3
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42. |
A. S. Pavlov, L. F. Yukhno, “On a solving ill-conditioned linear systems by iterative methods”, Matem. Mod., 16:7 (2004), 13–20 |
3
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43. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the implementation of an elimination method in linear problems with inexactly specified initial data”, Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004), 640–649 ; Comput. Math. Math. Phys., 44:4 (2004), 604–613 |
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44. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A method for solving a nonlinear nonself-adjoint spectral problem for some systems of linear ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 44:1 (2004), 104–110 ; Comput. Math. Math. Phys., 44:1 (2004), 93–99 |
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2003 |
45. |
A. A. Abramov, K. Balla, V. I. Ul'yanova, L. F. Yukhno, “A Nonlinear Self-Adjoint Spectral Problem for Differential-Algebraic Equations”, Differ. Uravn., 39:7 (2003), 867–878 ; Differ. Equ., 39:7 (2003), 913–925 |
4
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46. |
A. A. Abramov, K. Balla, V. I. Ul'yanova, L. F. Yukhno, “On a nonlinear self-adjoint eigenvalue problem for a certain class of differential algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 43:3 (2003), 410–421 ; Comput. Math. Math. Phys., 43:3 (2003), 391–402 |
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2002 |
47. |
A. P. Mikhailov, L. F. Yukhno, “Investigation of Some Mathematical Models of Electorate Evolution”, Differ. Uravn., 38:10 (2002), 1322–1330 ; Differ. Equ., 38:10 (2002), 1406–1414 |
2
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48. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “On the application of Craig's method to the solution of linear equations with inexact initial conditions”, Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002), 1763–1770 ; Comput. Math. Math. Phys., 42:12 (2002), 1693–1700 |
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49. |
A. A. Abramov, K. Balla, V. I. Ul'yanova, L. F. Yukhno, “On a nonlinear selfadjoint spectral problem for some differential-algebraic equations of index $1$”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002), 996–1012 ; Comput. Math. Math. Phys., 42:7 (2002), 957–973 |
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2001 |
50. |
A. P. Mikhailov, L. F. Yukhno, “A simplest model of relaxation to equilibrium between two power branches”, Matem. Mod., 13:1 (2001), 65–76 |
3
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2000 |
51. |
A. A. Abramov, V. O. Belash, L. F. Yukhno, “Modifying certain elimination methods”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000), 974–979 ; Comput. Math. Math. Phys., 40:7 (2000), 933–938 |
52. |
A. A. Abramov, L. F. Yukhno, “On the completeness of the set of eigenvectors of a nonlinear selfadjoint eigenvalue problem”, Zh. Vychisl. Mat. Mat. Fiz., 40:4 (2000), 503–504 ; Comput. Math. Math. Phys., 40:4 (2000), 478–479 |
1
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53. |
T. K. Kozubskaya, B. N. Chetverushkin, L. F. Yukhno, “Harmonic analysis of the quasi-gasdynamic system of equations for viscous gas flows and kinetically consistent finite difference schemes in their linear approximations”, Zh. Vychisl. Mat. Mat. Fiz., 40:2 (2000), 265–273 ; Comput. Math. Math. Phys., 40:2 (2000), 253–260 |
1
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54. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “A method for solving the multiparameter eigenvalue problem for certain systems of differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 40:1 (2000), 21–29 ; Comput. Math. Math. Phys., 40:1 (2000), 18–26 |
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1999 |
55. |
A. A. Abramov, L. F. Yukhno, “A method for solving a nonlinear selfadjoint spectral problem for a second-order ordinary differential equation with coupled boundary conditions”, Differ. Uravn., 35:2 (1999), 206–211 ; Differ. Equ., 35:2 (1999), 205–210 |
1
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56. |
A. A. Abramov, L. F. Yukhno, “Nonlinear spectral problem for the Sturm–Liouville equations with coupled boundary conditions depending on a spectral parameter”, Zh. Vychisl. Mat. Mat. Fiz., 39:7 (1999), 1119–1133 ; Comput. Math. Math. Phys., 39:7 (1999), 1077–1091 |
3
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1998 |
57. |
A. V. Gulin, L. F. Yukhno, “Stability boundaries for 2-dimensional difference schemes”, Matem. Mod., 10:1 (1998), 44–50 |
3
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58. |
A. A. Abramov, L. F. Yukhno, “A method for finding the smallest eigenvalue of a nonlinear selfadjoint spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 38:7 (1998), 1095–1105 ; Comput. Math. Math. Phys., 38:7 (1998), 1046–1056 |
1
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59. |
A. A. Abramov, L. F. Yukhno, “An elimination method for linear problems”, Zh. Vychisl. Mat. Mat. Fiz., 38:4 (1998), 547–556 ; Comput. Math. Math. Phys., 38:4 (1998), 527–535 |
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60. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “The argument principle in a spectral problem for systems of ordinary differential equations with singularities”, Zh. Vychisl. Mat. Mat. Fiz., 38:1 (1998), 61–67 ; Comput. Math. Math. Phys., 38:1 (1998), 57–63 |
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1996 |
61. |
A. V. Gulin, L. F. Yukhno, “Numerical investigation of the stability of two-layer difference schemes for the two-dimensional heat-conduction equation”, Zh. Vychisl. Mat. Mat. Fiz., 36:8 (1996), 118–126 ; Comput. Math. Math. Phys., 36:8 (1996), 1079–1085 |
8
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62. |
L. F. Yukhno, “On a spectral property of the product of two rectangular matrices”, Zh. Vychisl. Mat. Mat. Fiz., 36:5 (1996), 6–8 ; Comput. Math. Math. Phys., 36:5 (1996), 555–557 |
2
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63. |
L. F. Yukhno, “An algorithm for computing the rank and signature of a Hermitian block-tridiagonal matrix”, Zh. Vychisl. Mat. Mat. Fiz., 36:1 (1996), 42–51 ; Comput. Math. Math. Phys., 36:1 (1996), 33–40 |
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1995 |
64. |
L. F. Yukhno, “Generalization of the Wittrick–Williams method to nonlinear spectral problems with a multiple spectrum”, Differ. Uravn., 31:7 (1995), 1261–1264 ; Differ. Equ., 31:7 (1995), 1211–1215 |
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1994 |
65. |
S. V. Kartyshov, L. F. Yukhno, S. V. Basova, D. G. Pleshkov, “On the nonlinear spectral problem in the superelement method”, Differ. Uravn., 30:7 (1994), 1211–1216 ; Differ. Equ., 30:7 (1994), 1121–1125 |
2
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66. |
A. A. Abramov, L. F. Yukhno, “Determining the number of eigenvalues of a spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 34:5 (1994), 776–783 ; Comput. Math. Math. Phys., 34:5 (1994), 671–677 |
7
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1993 |
67. |
S. V. Kartyshov, L. F. Yukhno, “On some modifications of Newton's method for solving the nonlinear spectral problem”, Zh. Vychisl. Mat. Mat. Fiz., 33:9 (1993), 1403–1409 ; Comput. Math. Math. Phys., 33:9 (1993), 1239–1244 |
1
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1992 |
68. |
L. F. Yukhno, “A numerical method for solving multidimensional hyperbolic systems”, Zh. Vychisl. Mat. Mat. Fiz., 32:6 (1992), 867–877 ; Comput. Math. Math. Phys., 32:6 (1992), 747–755 |
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1990 |
69. |
L. F. Yukhno, “On some difference-characteristic schemes for non-one-dimensional non-stationary problems in the theory of elasticity”, Zh. Vychisl. Mat. Mat. Fiz., 30:1 (1990), 135–143 ; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 100–106 |
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1987 |
70. |
L. F. Yukhno, “Numerical solution of a nonlinear spectral problem for symmetric matrices”, Zh. Vychisl. Mat. Mat. Fiz., 27:9 (1987), 1320–1326 ; U.S.S.R. Comput. Math. Math. Phys., 27:5 (1987), 26–30 |
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1986 |
71. |
L. F. Yukhno, “A method of accelerating iteration processes for the solution of difference equations”, Zh. Vychisl. Mat. Mat. Fiz., 26:3 (1986), 373–380 ; U.S.S.R. Comput. Math. Math. Phys., 26:2 (1986), 32–36 |
1
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1976 |
72. |
L. F. Yukhno, “On the nature of the convergence of the method of nets in the solution of nonlinear evolution problems”, Dokl. Akad. Nauk SSSR, 228:2 (1976), 325–328 |
1
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1975 |
73. |
L. F. Yukhno, “The convergence of the Rothe scheme for certain nonlinear evolution equations”, Zh. Vychisl. Mat. Mat. Fiz., 15:5 (1975), 1168–1182 ; U.S.S.R. Comput. Math. Math. Phys., 15:5 (1975), 73–89 |
74. |
L. F. Yukhno, “Numerical solution of systems of difference equations in the theory of filtering”, Zh. Vychisl. Mat. Mat. Fiz., 15:4 (1975), 977–984 ; U.S.S.R. Comput. Math. Math. Phys., 15:4 (1975), 160–168 |
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2007 |
75. |
A. A. Abramov, K. Balla, V. I. Ul'yanova, L. F. Yukhno, “Correction”, Zh. Vychisl. Mat. Mat. Fiz., 47:1 (2007), 176 ; Comput. Math. Math. Phys., 47:1 (2007), 172 |
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2004 |
76. |
A. A. Abramov, V. I. Ul'yanova, L. F. Yukhno, “Correction: “A method for solving a nonlinear nonself-adjoint spectral problem for some systems of linear ordinary differential equations””, Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004), 2112 ; Comput. Math. Math. Phys., 44:11 (2004), 2010 |
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