В работе рассматривается новый подход к дискретизации уравнений математической физики. Его суть состоит в том, что дискретизация двумерной задачи сводится к дискретизации одномерной задачи, а дискретизация трехмерной задачи сводится к дискретизации двумерной задачи. Рассматриваются многочисленные примеры.Algazin Sergey D. "h-matrix - a new mathematical tool for sampling multidimensional equations of mathematical physics". (In Russian).In operation, the new approach to discretization of the equations of mathematical physics is considered. Its essence consists that discretization of the two-dimensional task is reduced to discretization of the one-dimensional task, and discretization of the three-dimensional task is reduced to discretization of the two-dimensional task. Numerous examples are considered.
V rabote rassmatrivaetsja novyj podkhod k diskretizatsii uravnenij matematicheskoj fiziki. Ego sut sostoit v tom, chto diskretizatsija dvumernoj zadachi svoditsja k diskretizatsii odnomernoj zadachi, a diskretizatsija trekhmernoj zadachi svoditsja k diskretizatsii dvumernoj zadachi. Rassmatrivajutsja mnogochislennye primery.Algazin Sergey D. "h-matrix - a new mathematical tool for sampling multidimensional equations of mathematical physics". (In Russian).In operation, the new approach to discretization of the equations of mathematical physics is considered. Its essence consists that discretization of the two-dimensional task is reduced to discretization of the one-dimensional task, and discretization of the three-dimensional task is reduced to discretization of the two-dimensional task. Numerous examples are considered.
