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Low-regularity trigonometric integrator for semilinear Klein-Gordon equation

Published on:

28 March 2024

Primary Category:

Numerical Analysis

Paper Authors:

Bin Wang,

Yaolin Jiang

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Key Details

Proposes novel low-regularity trigonometric integrator for semilinear Klein-Gordon equation

Achieves third-order convergence under H^2 x H^1 regularity of solution

Constructed using Duhamel's formula and twisted trigonometric integrals

Shown to be more accurate than existing third-order exponential integrators

Presented along with supporting error analysis and numerical experiments

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AI generated summary

Low-regularity trigonometric integrator for semilinear Klein-Gordon equation

A new third-order numerical integrator is proposed for solving the semilinear Klein-Gordon equation, which achieves improved accuracy under weaker regularity assumptions on the solution. The method combines Duhamel's formula and twisted trigonometric integrals to reduce spatial derivative requirements.

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