| 1. | Similar to one - dimensional equation , one can continue to solve it with thomas
与一维情况类似，可以继续利用追赶法求解。 |
| 2. | Under the assumption that the elastic tensor satisfies the strong - ellipticity condition , we reduce the two - dimensional equations of linearly elastic membrane shells to a first order linearly symmetric hyperbolic system
摘要在弹性张量满足强椭圆性条件的假设下，把2 -维线性动态膜壳方程组化为一阶线性对称双曲组。 |
| 3. | ( 2 ) intersectioning algorithm of nurbs surface and general implicit surface is researched in which the parametric formula are substituted into the implicit surface equation and then get the nonlinear two - dimensional equation on parametric domain
( 2 )实现了nurbs参数曲面与广义的隐式曲面的求交算法并将其应用于船体曲面与水线面的求交中。 |
| 4. | ( l ) the three - dimensional equations for tidal flow are derived from the navier - stokes equations based on some assumptions . the model is based on the vincenzo casulli method , and semi - implicit finite difference scheme has been used
( 1 )从navier - stokes方程上经过假设和简化得到的三维潮流控制方程，以vincenzocasulli法，采用半显半隐差分格式，建立了一个三维潮流数值模型。 |
| 5. | This approach can be generalized to find the relationship between a higher dimensional equation and a lower dimensional nonlinear equation . some exact solutions of the higher dimensional nonlinear equation can be obtained by solving the lower one
这种方法可以推广开来，方便地建立起某一高维方程和其它低维非线性方程的联系，然后通过求解低维的非线性方程来找到高维非线性方程的精确解。 |
| 6. | Beyond the usual method , the one dimensional equation was expressed in the form of ( the equation is abbreviated ) , which then was introduced by middle varible ( the equation is abbreviated ) , so that the same solution of initial value problem by the characteristic curve method of the first order equations ( the equation is abbreviated ) and ( the equation is abbreviated ) was abtained
摘要对一维非齐次波动方程的始值问题在传统的叠加原理、达朗贝尔公式、齐次化原理的方法之外，完全用特征线方法，先将方程表示为(方程式略)的形式，进而引入中间变量(方程式略) ，得以用一阶方程(方程式略)的特征线方法，推导出维该始植问题的与传统方法相同的解。 |
| 7. | One dimensional equation can be obtained through extending the stream function and forcing term into fourier series , and this equation can be solved by assuming the traveling - wave solution . besides converting the topographies to flat bottom , the transforms also change the distribution of forcing . for subcritical topography , the intensity of
所用的求解方法为将解和强迫项在变换平面内进行付里叶级数展开，得到一维的波动方程，通过设行波解的方法求解该一维波动方程，所有模态解的叠加即为内潮生成问题的解。 |
