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二元泰勒展式在求解函数极限中的应用 被引量:2
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作者 杨元超 张守贵 《重庆工商大学学报(自然科学版)》 2013年第10期25-27,共3页
利用二元函数的泰勒公式求解二元函数的极限,并用若干例题说明了该方法的运用.
关键词 二元泰勒展式 函数极限 应用
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Two Dimensional Fully Nonlinear Numerical Wave Tank Based on the BEM
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作者 Zhe Sun Yongjie Pang Hongwei Li 《Journal of Marine Science and Application》 2012年第4期437-446,共10页
The development of a two dimensional numerical wave tank (NWT) with a rocker or piston type wavemaker based on the high order boundary element method (BEM) and mixed Eulerian-Lagrangian (MEL) is examined. The ca... The development of a two dimensional numerical wave tank (NWT) with a rocker or piston type wavemaker based on the high order boundary element method (BEM) and mixed Eulerian-Lagrangian (MEL) is examined. The cauchy principle value (CPV) integral is calculated by a special Gauss type quadrature and a change of variable. In addition the explicit truncated Taylor expansion formula is employed in the time-stepping process. A modified double nodes method is assumed to tackle the comer problem, as well as the damping zone technique is used to absorb the propagation of the free surface wave at the end of the tank. A variety of waves are generated by the NWT, for example; a monochromatic wave, solitary wave and irregular wave. The results confirm the NWT model is efficient and stable. 展开更多
关键词 numerical wave tank (NWT) boundary element method (BEM) nonlinear free surface condition mixed Eulerian-Lagrangian damping zone cauchy principle value(CPV)
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