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• W2973066873 abstract "In this work, a dynamically adaptive curvelet technique has been developed for solving nonlinear Schrödinger equation (NLS). Central finite difference method is used for approximating the one- and two-dimensional differential operators and radial-basis functions (RBFs) are utilized for approximating the differential operators on the sphere. The grid on which the equation is solved, is obtained using curvelets. For test problems 1 and [Formula: see text] (1d & 2d problems) considered in this paper, the computational time carried out by the proposed technique is analyzed with the computational time carried out by the finite difference technique. Moreover, the problem on the sphere has been considered, for which the computational time carried out by the RBF collocation technique is analyzed with the computational time carried out by the proposed technique. It is found that the developed technique performs better in terms of computational time, for example, on sphere, computational effort reduces by four times using the proposed method." @default.
• W2973066873 created "2019-09-19" @default.
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• W2973066873 date "2019-12-01" @default.
• W2973066873 modified "2023-10-03" @default.
• W2973066873 title "An adaptive grid-based curvelet optimized solution for nonlinear Schrödinger equation" @default.
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• W2973066873 doi "https://doi.org/10.1142/s0129183119501018" @default.
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