| Publications in Math-Net.Ru |
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2018 |
| 1. |
I. E. Kaporin, O. Yu. Milyukova, “MPI+OpenMP parallel implementation of explicitly preconditioned conjugate gradient method”, Keldysh Institute preprints, 2018, 008, 28 pp.  |
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2017 |
| 2. |
I. E. Kaporin, O. Yu. Milyukova, “Incomplete inverse triangular factorization in parallel algorithms of preconditioned conjugate gradient methods”, Keldysh Institute preprints, 2017, 037, 28 pp. |
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2016 |
| 3. |
O. Yu. Milyukova, “About one parallel version of the $2^{nd}$ order incomplete triangular factorization”, Matem. Mod., 28:12 (2016), 107–121  |
| 4. |
O. Yu. Milyukova, “Combination of numerical and structured approaches to the construction of a second-order incomplete triangular factorization in parallel preconditioning methods”, Zh. Vychisl. Mat. Mat. Fiz., 56:5 (2016), 711–729 ; Comput. Math. Math. Phys., 56:5 (2016), 699–716   |
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2015 |
| 5. |
O. Yu. Milyukova, “Combining incomplete factorization strategies “by value” and “by position” for the $2^{\mathrm{nd}}$ order incomplete triangular factorization in parallel algorithms for the preconditioned conjugate gradient method”, Keldysh Institute preprints, 2015, 010, 32 pp. |
| 6. |
O. Yu. Milyukova, V. F. Tishkin, “A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids”, Matem. Mod., 27:9 (2015), 17–32  ; Math. Models Comput. Simul., 8:2 (2016), 118–128 |
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2014 |
| 7. |
O. Yu. Milyukova, “Parallel version of the $2^\mathrm{nd}$ order incomplete triangular factorization preconditioned conjugate gradient method using special matrix reordering”, Keldysh Institute preprints, 2014, 052, 32 pp. |
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2013 |
| 8. |
O. Yu. Milyukova, V. F. Tishkin, “Method for the numerical solution of heat transfer equation with discontinuous coefficient based on multigrid techniques”, Keldysh Institute preprints, 2013, 064, 19 pp. |
| 9. |
I. E. Kaporin, O. Yu. Milyukova, “Optimization of the factorized preconditioners of conjugate gradient method for solving the linear algebraic systems with symmetric positive definite matrix”, Keldysh Institute preprints, 2013, 013, 17 pp. |
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2011 |
| 10. |
O. Yu. Milyukova, V. F. Tishkin, “A numerical method for the solution of heat conduction equation on triangular grids using the multigrid techniques”, Keldysh Institute preprints, 2011, 029, 16 pp. |
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2010 |
| 11. |
M. E. Ladonkina, O. Yu. Milyukova, V. F. Tishkin, “A numerical method for solving diffusion-type equations based on a multigrid method”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1438–1461 ; Comput. Math. Math. Phys., 50:8 (2010), 1367–1390 |
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2009 |
| 12. |
O. Yu. Milyukova, I. V. Popov, “Some parallel iterative methods for solving elliptic equations on tetrahedral grids”, Matem. Mod., 21:12 (2009), 3–20  ; Math. Models Comput. Simul., 2:4 (2010), 453–469 |
| 13. |
M. E. Ladonkina, O. Yu. Milyukova, V. F. Tishkin, “Numerical algorithm for solving diffusion equations on the basis of multigrid methods”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 518–541 ; Comput. Math. Math. Phys., 49:3 (2009), 502–524 |
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2008 |
| 14. |
M. E. Ladonkina, O. Yu. Milyukova, V. F. Tishkin, “A conservative differencing sceme for diffusion-type equations on base of multigrid methods”, Trudy SVMO, 10:2 (2008), 21–44 |
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2007 |
| 15. |
O. Yu. Milyukova, “Parallel iterative methods with factored preconditioning matrices for solving elliptic equations on triangular grid”, Matem. Mod., 19:9 (2007), 27–48 |
| 16. |
M. E. Ladonkina, O. Yu. Milyukova, V. F. Tishkin, “Numerical algorithm for equations of diffusion type on base of multigrid methods”, Matem. Mod., 19:4 (2007), 71–89 |
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2006 |
| 17. |
O. Yu. Milyukova, “On some parallel iterative methods for solving elliptic equations on triangular grids”, Differ. Uravn., 42:7 (2006), 956–968 ; Differ. Equ., 42:7 (2006), 1018–1030 |
| 18. |
O. Yu. Milyukova, “Parallel iterative methods using factorized preconditioning matrices for solving elliptic equations on triangular grids”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1096–1113 ; Comput. Math. Math. Phys., 46:6 (2006), 1044–1060 |
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2005 |
| 19. |
O. Yu. Milyukova, “Parallel versions of some methods with factorized preconditioning matrices for solving elliptic equations on unstructed triangular grids”, Matem. Mod., 17:2 (2005), 65–80 |
| 20. |
O. Yu. Milyukova, V. F. Tishkin, “Solving parabolic equations on locally refined grids”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005), 2031–2043 ; Comput. Math. Math. Phys., 45:11 (2005), 1952–1964 |
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2003 |
| 21. |
O. Yu. Milyukova, I. V. Popov, “Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid”, Matem. Mod., 15:10 (2003), 3–16 |
| 22. |
O. Yu. Milyukova, “Parallel iterative methods with factorized preconditioning matrices for discretized elliptic equations on nonuniform grids”, Matem. Mod., 15:4 (2003), 3–15 |
| 23. |
T. G. Elizarova, O. Yu. Milyukova, “Numerical modeling of the flow of a viscous incompressible fluid in a cubic cavity”, Zh. Vychisl. Mat. Mat. Fiz., 43:3 (2003), 453–466 ; Comput. Math. Math. Phys., 43:3 (2003), 433–445 |
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2002 |
| 24. |
O. Yu. Milyukova, “Parallel versions of the alternating triangular method for solving three-dimensional elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:10 (2002), 1531–1541 ; Comput. Math. Math. Phys., 42:10 (2002), 1472–1481 |
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2001 |
| 25. |
O. Yu. Milyukova, “Parallel versions of some iterative methods with factorized preconditioners”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001), 1619–1636 ; Comput. Math. Math. Phys., 41:11 (2001), 1539–1556 |
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2000 |
| 26. |
O. Yu. Milyukova, “A parallel iterative method with a factorized preconditioning matrix for elliptic equations”, Differ. Uravn., 36:7 (2000), 953–962 ; Differ. Equ., 36:7 (2000), 1058–1068 |
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1998 |
| 27. |
O. Yu. Milyukova, “A parallel version of the generalized alternating triangular method for elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 38:12 (1998), 2002–2012 ; Comput. Math. Math. Phys., 38:12 (1998), 1922–1932 |
| 28. |
O. Yu. Milyukova, B. N. Chetverushkin, “Parallel version of the alternating triangular method”, Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998), 228–238 ; Comput. Math. Math. Phys., 38:2 (1998), 219–229 |
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1996 |
| 29. |
O. Yu. Milyukova, “Parallel iterative method for 2D equation of radiation transport”, Matem. Mod., 8:2 (1996), 19–28 |
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1994 |
| 30. |
O. Yu. Milyukova, N. G. Churbanova, “On the development of parallel algorithms for the solution of 2D problems of radiation gas dynamics”, Matem. Mod., 6:9 (1994), 53–60 |
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