题目：Stability and convergence of multi-product expansion splitting methods for semilinear parabolic problems

报告人：权超禹，香港中文大学（深圳）

时间：3月16日（星期一），19:30-21:00

地点：东区第五教学楼5107教室

摘要：The operator splitting method has been widely used to solve differential equations by splitting the equation into more manageable parts.  In this work, we resolves a long-standing problem---how to establish the stability of multi-product expansion (MPE) splitting methods with negative weights. In particular, we take the semilinear parabolic equation as a typical model and establish the stability of arbitrarily high-order MPE splitting methods with positive time steps but possibly negative weights. Rigorous convergence analysis is subsequently obtained from the stability result. Extensive numerical experiments validate the stability and accuracy of various high-order MPE splitting methods, highlighting their efficiency and robustness.