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Symmetric low-regularity integrator for nonlinear Klein-Gordon equations

Paper Authors:

Bin Wang,

Zhen Miao,

Yaolin Jiang

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Key Details

Proposes symmetric low-regularity integrator for nonlinear Klein-Gordon equations

Achieves 2nd order accuracy under weaker regularity assumptions

Symmetry ensures good long-term energy conservation

Rigorously proves energy conservation properties

Numerical tests show accuracy, efficiency and energy conservation

AI generated summary

Symmetric low-regularity integrator for nonlinear Klein-Gordon equations

The authors propose a symmetric low-regularity integrator for solving nonlinear Klein-Gordon equations. The integrator achieves second-order accuracy in the energy space under weaker regularity assumptions than classical methods. Its symmetry also ensures good long-term energy conservation, proven using modulated Fourier expansion techniques. Numerical tests demonstrate the method's accuracy, efficiency, and long-term energy conservation compared to existing techniques.

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