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SIAM Review· 2021Q1

Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes

Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao

Short summary

New maximum bound principles are derived for a class of semilinear parabolic equations, enabling the development of stable exponential time-differencing (ETD) schemes that avoid restrictive time-step limitations.

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Field: Numerical Analysis

Numerical AnalysisMathematics