Análise Espectral de um Método Pseudo Espectral para Propagação de Onda com Condições de Fronteira Transparentes
DOI:
https://doi.org/10.5540/tema.2007.08.02.0201Abstract
Apresentamos uma análise espectral de um método para a simulação numérica de propagação de ondas unidimensionais, proposto recentemente por Jackiewicz e Renaut em [4]. Os resultados incluem uma fórmula fechada para o auto sistema do operador associado ao problema, um resultado teórico que corrige uma conclus˜ao errônea desses autores e um método numérico para calcular soluções aproximadas. Além disso, destacamos a importância da análise do pseudo espectro do operador do modelo contínuo, assim como o pseudo espectro das matrizes dos modelos discretos correspondentes.References
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