Wave equation on one-dimensional fractals with spectral decimation and the complex dynamics of polynomials
arXiv:1505.058551.212 citationsh-index: 32
Originality Synthesis-oriented
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For researchers studying wave propagation on fractal geometries, this work offers new analytical and numerical tools, though it is incremental in extending known methods.
The paper develops efficient numerical and analytical methods for solving the wave equation on one-dimensional fractals using spectral decimation, providing uniform estimates.
We study the wave equation on one-dimensional self-similar fractal structures that can be analyzed by the spectral decimation method. We develop efficient numerical approximation techniques and also provide uniform estimates obtained by analytical methods.