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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.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces new maximum bound principles for semilinear parabolic equations.
  • Enables the development of stable exponential time-differencing (ETD) schemes.
  • ETD schemes overcome restrictive time-step limitations of traditional methods.
  • Provides a theoretical foundation for more efficient numerical simulations.

AI-generated from the title and abstract; the full text is not read.

Abstract

202107 bcvc

The authors' abstract, as published at the source. SIAM Review, 2021 · DOI ↗

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Field: Numerical Analysis

Numerical AnalysisMathematics