91直播

91直播：李东方 教授 （华中科技大学）

时间：2024年11月24日 16:00-

地点: 理科楼LA103

摘要：A novel family of high-order structure-preserving methods is proposed for solving time-dependent partial differential equations with several invariants. The methods are developed by applying the multiple relaxation idea to the exponential Runge--Kutta methods. It is shown that the multiple relaxation exponential Runge--Kutta (MRERK) methods can achieve high-order accuracy in time and preserve multiple original invariants at the discrete level. They are the first exponential-type methods that preserve multiple invariants. The number of invariants the methods preserve depends only on that of the relaxation parameters. Several numerical experiments are carried out to support the theoretical results and illustrate the effectiveness and efficiency of the proposed methods.

邀请人：吴风艳

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