we also review parallel computing model, parallel programming model and the software engineering for numerical applications . ( 2 ) on spectral element method and parallel computing of 2-d spectral element shallow water model i ) we put forward a hybrid-local-basis theorem, and give two kinds of local basis schemes fitting for both the chebyshev polynomials and the legendre case (2)關(guān)于譜元素方法及兩維半隱譜元素淺水波模式的并行計(jì)算?)依據(jù)切比契夫多項(xiàng)式和勒讓德多項(xiàng)式的計(jì)算特點(diǎn),提出了一個混合局部基函數(shù)預(yù)備定理,給出了兩類混合局部基譜元素格式。