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A Three-Parameter Family of Stable Difference Methods for One-Dimensional Acoustic Vibrations

机译：一维声振动的三参数稳定差分方法

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摘要

A three-parameter family of difference methods for solving the system of partial differential equations of one-dimensional acoustic vibrations is determined. Insistence on stability, combined with a demand to maximize the permissible value of delta t/delta x leads us to rediscover Lax's method for one-dimensional acoustics. (Author)

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Glese, J. H.;
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年度 1969
页码 p.1-15
总页数 15
原文格式 PDF
正文语种 eng
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关键词
Mechanical waves ; Partial differential equations ; Sound transmission ; Numerical analysis ; Difference equations ; Vibration ; Acoustics ; Boundary value problems ; Stability;

机译：机械波;偏微分方程;声传;数值分析;差分方程;振动;声学;边值问题;稳定性;

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5. Discontinuous Galerkin time domain methods for acoustics and comparison with finite difference time domain methods. [D] . Wang, Xin. 2010

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6. The 20k Samples-Per-Second Real Time Detection of Acoustic Vibration Based on Displacement Estimation of One-Dimensional Laser Speckle Images [O] . Nan Wu, Shinichiro Haruyama 2021

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8. A Three-Parameter Family of Difference Methods for the Vibrating Beam [R] . Giese, J. H. 1969

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A Three-Parameter Family of Stable Difference Methods for One-Dimensional Acoustic Vibrations

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