Milyukova Olga Yu

Publications in Math-Net.Ru

1. Combination of numerical and structural approaches in the parallel first-order incomplete triangular decomposition preconditioning method
   
   Keldysh Institute preprints, 2024, 075, 28 pp.
2. Some ways of parallel implementation of the conjugate gradient method with an implicit factorized preconditioner
   
   Mat. Model., 36:2 (2024),  174–196
3. Parallel implementation of the conjugate gradient method with the IC1 preconditioner based on the use of grid node reordering
   
   Keldysh Institute preprints, 2023, 061, 28 pp.
4. MPI+OpenMP methods for implementing the conjugate gradient method with the IC(0) preconditioner based on the use of grid node reordering
   
   Keldysh Institute preprints, 2023, 035, 32 pp.
5. MPI+OpenMP implementation of the conjugate gradient method with a factorized preconditioner based on the use of grid node reordering
   
   Keldysh Institute preprints, 2023, 018, 29 pp.
6. MPI+OpenMP implementation of the conjugate gradient method with IC(0) preconditioner based on the use of mesh node reordering
   
   Keldysh Institute preprints, 2022, 063, 32 pp.
7. Approaches MPI+OpenMP implementation of conjugated gradient method with pre-conditioner of block incomplete inverse triangular decomposition of IC1
   
   Keldysh Institute preprints, 2022, 002, 30 pp.
8. Mpi+openmp implementation of conjugate gradients method with preconditioner of the block incomplete inverse triangular decomposition of the first order
   
   Num. Meth. Prog., 23:3 (2022),  191–206
9. MPI+OpenMP parallel implementation of conjugate gradient method with preconditioner of block partial inverse triangular decomposition of IC2S and IC1
   
   Keldysh Institute preprints, 2021, 048, 32 pp.
10. MPI+OpenMP parallel implementation of conjugate gradient method with factored implicit preconditioners
    
    Mat. Model., 33:10 (2021),  19–38
11. MPI+OpenMP parallel implementation of conjugate gradient method with the Block Jacobi preconditioner combined with IC1
    
    Keldysh Institute preprints, 2020, 083, 28 pp.
12. MPI+OpenMP parallel implementation of conjugate gradient method with factorized preconditioner
    
    Keldysh Institute preprints, 2020, 031, 22 pp.
13. MPI+OpenMP implementation of BiCGStab method with factorized explicit preconditioner
    
    Keldysh Institute preprints, 2019, 047, 17 pp.
14. MPI+OpenMP implementation of the BiCGStab method with explicit preconditioning for the numerical solution of sparse linear systems
    
    Num. Meth. Prog., 20:4 (2019),  516–527
15. MPI+OpenMP parallel implementation of explicitly preconditioned conjugate gradient method
    
    Keldysh Institute preprints, 2018, 008, 28 pp.
16. Incomplete inverse triangular factorization in parallel algorithms of preconditioned conjugate gradient methods
    
    Keldysh Institute preprints, 2017, 037, 28 pp.
17. About one parallel version of the $2^{\text{nd}}$ order incomplete triangular factorization
    
    Mat. Model., 28:12 (2016),  107–121
18. 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
19. 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.
20. A multigrid method for the heat equation with discontinuous coefficients with the special choice of grids
    
    Mat. Model., 27:9 (2015),  17–32
21. 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.
22. Method for the numerical solution of heat transfer equation with discontinuous coefficient based on multigrid techniques
    
    Keldysh Institute preprints, 2013, 064, 19 pp.
23. 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.
24. A numerical method for the solution of heat conduction equation on triangular grids using the multigrid techniques
    
    Keldysh Institute preprints, 2011, 029, 16 pp.
25. A numerical method for solving diffusion-type equations based on a multigrid method
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010),  1438–1461
26. Some parallel iterative methods for solving elliptic equations on tetrahedral grids
    
    Mat. Model., 21:12 (2009),  3–20
27. Numerical algorithm for solving diffusion equations on the basis of multigrid methods
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009),  518–541
28. A conservative differencing sceme for diffusion-type equations on base of multigrid methods
    
    Trudy SVMO, 10:2 (2008),  21–44
29. Parallel iterative methods with factored preconditioning matrices for solving elliptic equations on triangular grid
    
    Mat. Model., 19:9 (2007),  27–48
30. Numerical algorithm for equations of diffusion type on base of multigrid methods
    
    Mat. Model., 19:4 (2007),  71–89
31. On some parallel iterative methods for solving elliptic equations on triangular grids
    
    Differ. Uravn., 42:7 (2006),  956–968
32. Parallel iterative methods using factorized preconditioning matrices for solving elliptic equations on triangular grids
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006),  1096–1113
33. Parallel versions of some methods with factorized preconditioning matrices for solving elliptic equations on unstructed triangular grids
    
    Mat. Model., 17:2 (2005),  65–80
34. Solving parabolic equations on locally refined grids
    
    Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2031–2043
35. Parallel iterative methods with factorized preconditioning matrices for elliptic equations on unstructed triangular grid
    
    Mat. Model., 15:10 (2003),  3–16
36. Parallel iterative methods with factorized preconditioning matrices for discretized elliptic equations on nonuniform grids
    
    Mat. Model., 15:4 (2003),  3–15
37. Numerical modeling of the flow of a viscous incompressible fluid in a cubic cavity
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:3 (2003),  453–466
38. Parallel versions of the alternating triangular method for solving three-dimensional elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:10 (2002),  1531–1541
39. Parallel versions of some iterative methods with factorized preconditioners
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1619–1636
40. A parallel iterative method with a factorized preconditioning matrix for elliptic equations
    
    Differ. Uravn., 36:7 (2000),  953–962
41. A parallel version of the generalized alternating triangular method for elliptic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:12 (1998),  2002–2012
42. Parallel version of the alternating triangular method
    
    Zh. Vychisl. Mat. Mat. Fiz., 38:2 (1998),  228–238
43. Parallel iterative method for 2D equation of radiation transport
    
    Mat. Model., 8:2 (1996),  19–28
44. On the development of parallel algorithms for the solution of 2D problems of radiation gas dynamics
    
    Mat. Model., 6:9 (1994),  53–60