A. V. Petukhov, A. O. Savchenko, “Solution of the exterior boundary value problem for the Helmholtz equation using overlapping domain decomposition”, Zh. Vychisl. Mat. Mat. Fiz., 62:5 (2022), 809–822; Comput. Math. Math. Phys., 62:5 (2022), 784–796
A. O. Savchenko, A. V. Petukhov, “A method for solving an exterior boundary value problem for the Laplace equation by overlapping domain decomposition”, Sib. Zh. Ind. Mat., 22:3 (2019), 104–113; J. Appl. Industr. Math., 13:3 (2019), 519–527
2018
3.
V. M. Sveshnikov, A. O. Savchenko, A. V. Petukhov, “A new non-overlapping domain decomposition method for the 3-D Laplace exterior problem”, Sib. Zh. Vychisl. Mat., 21:4 (2018), 435–449; Num. Anal. Appl., 11:4 (2018), 346–358
A. O. Savchenko, “Matrix of moments of the Legendre polynomials and its application to problems of electrostatics”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017), 163–175; Comput. Math. Math. Phys., 57:1 (2017), 175–187
A. O. Savchenko, V. P. Il'in, D. S. Butyugin, “A method of solving an exterior three-dimensional boundary value problem for the Laplace equation”, Sib. Zh. Ind. Mat., 19:2 (2016), 88–99; J. Appl. Industr. Math., 10:2 (2016), 277–287
A. O. Savchenko, “Functions orthogonal to polynomials and their application in axially symmetric problems in physics”, TMF, 179:2 (2014), 225–241; Theoret. and Math. Phys., 179:2 (2014), 574–587
A. O. Savchenko, “Computation of the attractive force of an ellipsoid”, Zh. Vychisl. Mat. Mat. Fiz., 53:12 (2013), 2063–2071; Comput. Math. Math. Phys., 53:12 (2013), 1882–1890
8.
A. O. Savchenko, O. Ya. Savchenko, “Осесимметричное проводящее тело в соосном электрическом поле”, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013), 675–684
A. O. Savchenko, O. Ya. Savchenko, “Calculation of charges screening an external coaxial electric field on the surface of a conducting axial symmetric body”, Sib. Zh. Vychisl. Mat., 15:3 (2012), 321–327; Num. Anal. Appl., 5:3 (2012), 265–270
A. O. Savchenko, O. Ya. Savchenko, “Ellipsoid flowed around by a harmonic vector field”, TMF, 170:3 (2012), 381–392; Theoret. and Math. Phys., 170:3 (2012), 315–325
A. O. Savchenko, O. Ya. Savchenko, “Flow around an ellipsoid of revolution in a harmonic coaxial vector field”, Sib. Zh. Ind. Mat., 14:2 (2011), 106–111; J. Appl. Industr. Math., 6:2 (2012), 224–228
A. O. Savchenko, O. Ya. Savchenko, “Calculation of currents on the surface of a superconducting axially symmetric body screening an external coaxial magnetic field”, Sib. Zh. Vychisl. Mat., 10:3 (2007), 317–324
A. O. Savchenko, “A high order numerical method for the integral Volterra equations with weak singularity”, Sib. Zh. Vychisl. Mat., 6:2 (2003), 181–195
2001
15.
A. O. Savchenko, “The optimal quadratures for numerical solving of integral Volterra equations and the Cauchy problem”, Sib. Zh. Vychisl. Mat., 4:2 (2001), 179–184