»ã±¨±êÌâ (Title)£ºAn efficient time-two mesh compact ADI method for nonlinear Schrodinger equations with error analysis£¨Õë¶Ô·ÇÏßÐÔѦ¶¨ÚÌ·½³ÌµÄ¸ßЧ˫¹¦·òÍø¸ñ½ôÖ½»Ìæ·½Ïò²½Öè¼°ÆäÎó²î·ÖÎö£©

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»ã±¨¹¦·ò (Time)£º2025Äê4ÔÂ19ÈÕ (ÖÜÁù) 9:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

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ÌáÒª£ºA time two-mesh algorithm combined with compact difference ADI scheme is proposed for solving the two-dimensional nonlinear Schrodinger equation. This algorithm contains three steps: first, a nonlinear implicit system is solved on the time coarse mesh by ADI technique; next, based on the coarse mesh solutions, some useful values on the time fine mesh are provided by applying the Lagrange's linear interpolation formula; finally, a linear system is solved on the time fine mesh. Taking advantage of the discrete energy and the mathematical induction methods, result with in the discrete L2 norm and H1 norm are deduced, respectively. Numerical experiments on some model problems show that the porposed algorithm preserve the conservation laws of charge and energy and is very effective. Here, and are the temporal parameters on the coarse and fine mesh, respectively, and is the space step.