A. A. Dosiev, “A fourth-order accurate composite grid method for solving Laplace's boundary value problems with singularities”, Ж. вычисл. матем. и матем. физ., 42:6 (2002), 867–884; Comput. Math. Math. Phys., 42:6 (2002), 832

Эта публикация цитируется в следующих 20 статьяx:

А. А. Досиев, Э. Целикер, “Об интерполяционном операторе четвертого порядка точности для разностного решения трехмерного уравнения Лапласа”, Сиб. журн. вычисл. матем., 27:1 (2024), 33–48
Dosiyev A.A., Sarikaya H., “A Highly Accurate Difference Method For Approximating the Solution and Its First Derivatives of the Dirichlet Problem For Laplace'S Equation on a Rectangle”, Mediterr. J. Math., 18:6 (2021), 252
Sarikaya H., Dosiyev A.A., “O(H(8)Vertical Bar Lnh Vertical Bar) Order of Accurate Difference Method For Solving the Dirichlet Problem For Laplace'S Equation on a Rectangle With Boundary Values in C-K(,1)”, AIP Conference Proceedings, 2325, eds. Ashyralyev A., Ashyralyyev C., Erdogan A., Lukashov A., Sadybekov M., Amer Inst Physics, 2021, 020040
Celiker E., Lin P., “An Efficient Finite Element Method With Exponential Mesh Refinement For the Solution of the Allen-Cahn Equation in Non-Convex Polygons”, Commun. Comput. Phys., 28:4 (2020), 1536–1560
Dosiyev A.A., “Difference Method of Fourth Order Accuracy For the Laplace Equation With Multilevel Nonlocal Conditions”, J. Comput. Appl. Math., 354 (2019), 587–596
Celiker E., Lin P., “A Highly-Accurate Finite Element Method With Exponentially Compressed Meshes For the Solution of the Dirichlet Problem of the Generalized Helmholtz Equation With Corner Singularities”, J. Comput. Appl. Math., 361 (2019), 227–235
Dosiyev A.A., Abdussalam A., “On the High Order Convergence of the Difference Solution of Laplace'S Equation in a Rectangular Parallelepiped”, Filomat, 32:3 (2018), 893–901
Celiker E., Dosiyev A.A., “On the fourth-order accurate approximations of the solution of the Dirichlet problem for Laplace?s equation in a rectangular parallelepiped”, NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS (NUMTA?2016): Proceedings of the 2nd International Conference ?Numerical Computations: Theory and Algorithms? (Pizzo Calabro, Italy, 19?25 June 2016), AIP Conference Proceedings, 1776, eds. Sergeyev Y., Kvasov D., DellAccio F., Mukhametzhanov M., Amer Inst Physics, 2016, 090008
Dosiyev A.A., “The Block-Grid Method for the Approximation of the Pure Second Order Derivatives for the Solution of Laplace's Equation on a Staircase Polygon”, J. Comput. Appl. Math., 259:A (2014), 14–23
Dosiyev A.A., Celiker E., “Approximation on the Hexagonal Grid of the Dirichlet Problem For Laplace's Equation”, Bound. Value Probl., 2014, 73
Dosiyev A.A., Buranay S.C., “A Fourth-Order Block-Grid Method for Solving Laplace's Equation on a Staircase Polygon with Boundary Functions in $C^{k,\lambda}$”, Abstract Appl. Anal., 2013, 864865
Dosiyev A.A., “New Properties of 9-Point Finite Difference Solution of the Laplace Equation”, Mediterr J Math, 8:3 (2011), 451–462
Dosiyev A.A., Buranay S.C., Subasi D., “The Block-Grid Method for Solving Laplace's Equation on Polygons with Nonanalytic Boundary Conditions”, Bound Value Probl, 2010, 468594
Dosiyev A.A., Buranay S.C., “On the Order of Maximum Error of the Finite Difference Solutions of Laplace's Equation on Rectangles”, Anziam J, 50:1 (2008), 59–73
Volkov E.A., Dosiyev A.A., “A high accurate composite grid method for solving Laplace's boundary value problems with singularities”, Russian J Numer Anal Math Modelling, 22:3 (2007), 291–307
Е. А. Волков, “Приближение методом сеток первых производных решения задачи Дирихле для уравнения Лапласа на многоугольнике”, Функциональные пространства, теория приближений, нелинейный анализ, Сборник статей, Труды МИАН, 255, Наука, МАИК «Наука/Интерпериодика», М., 2006, 99–115 ; E. A. Volkov, “Grid Approximation of the First Derivatives of the Solution to the Dirichlet Problem for the Laplace Equation on a Polygon”, Proc. Steklov Inst. Math., 255 (2006), 92–107
Volkov E.A., Dosiyev A.A., Bozer M., “A high-accuracy composite grid method”, Doklady Mathematics, 69:3 (2004), 391–393
Dosiyev A.A., “The high accurate block-grid method for solving Laplace's boundary value problem with singularities”, SIAM J Numer Anal, 42:1 (2004), 153–178
Е. А. Волков, “Метод составных сеток на призме с произвольным многоугольным основанием”, Функциональные пространства, приближения, дифференциальные уравнения, Сборник статей. К 70-летию со дня рождения члена-корреспондента РАН Олега Владимировича Бесова, Труды МИАН, 243, Наука, МАИК «Наука/Интерпериодика», М., 2003, 138–160 ; E. A. Volkov, “A Method of Composite Grids on a Prism with an Arbitrary Polygonal Base”, Proc. Steklov Inst. Math., 243 (2003), 131–153
Е. А. Волков, А. К. Корноухов, “О решении задачи Мотца блочным методом”, Ж. вычисл. матем. и матем. физ., 43:9 (2003), 1385–1391 ; E. A. Volkov, A. K. Kornoukhov, “On solving the Motz problem by a block method”, Comput. Math. Math. Phys., 43:9 (2003), 1331–1337