A linearly implicit, mass- and energy-conserving scheme for the Schrödinger-Poisson equation

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-09-06 DOI:10.1016/j.aml.2025.109746

Haoyue Jiang , Dongfang Li , Hai-wei Sun

引用次数: 0

Abstract

In this paper, a novel structure-preserving scheme is proposed for numerical solving the Schrödinger-Poisson equation. The scheme is obtained by carefully choosing the intermediate average variable in the leap-frog scheme. It is shown that the scheme is mass- and energy-conserving for the equation. More importantly, the scheme is linearly implicit, while the previous mass- and energy-conserving schemes are generally fully implicit. Numerical experiments are presented to confirm the theoretical results.

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一个线性隐式，质量和能量节约方案的Schrödinger-Poisson方程

本文提出了一种新的结构保持格式，用于数值求解Schrödinger-Poisson方程。该方案是通过仔细选择跳蛙方案中的中间平均变量而得到的。结果表明，该格式对方程具有质量节约和能量节约的优点。更重要的是，该方案是线性隐式的，而以前的质量和节能方案通常是完全隐式的。通过数值实验验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.