Spectral Methods using Triangular Domains
碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 94 === The nodal sets in simplex for high-order interpolation approximation were constructed by some optimal methods in tradition. In this thesis we introduce a new method using projection to construct nodal sets in simplex, and a general framework of constructing m...
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
2006
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| Online Access: | http://ndltd.ncl.edu.tw/handle/78510510062423867672 |
| Summary: | 碩士 === 國立成功大學 === 數學系應用數學碩博士班 === 94 === The nodal sets in simplex for high-order interpolation approximation
were constructed by some optimal methods in tradition. In this thesis
we introduce a new method using projection to construct nodal sets
in simplex, and a general framework of constructing multidimensional
pseudospectral schemes for simulation wave equation. The nodal sets
from projection for approximation are as good as the results obtained
by traditional methods. Stable numerical simulations of model wave
equations are also conducted. The results are agreed with the theoretical
analysis.
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