In view of ill-posed characteristic of the equation, with variational principle, solving of a nonlinear hyperbolic equation is attributed to minimization of a functional. So the equation has unique solution through regularization theory.
考虑到该方程具有病态特性,求得的解不唯一,具有一般数学物理反问题的特征,利用变分原理,将其转化为一个泛函的极小化问题,通过正则化处理,使原问题具有唯一解;然后应用有限差分思想和求解非线性最小二乘问题的方法,将泛函中的变量离散化和线性化,进而转化为一个标准最小二乘问题来求解。
参考来源 - 反求工程中基于图像灰度信息的三维曲面重构研究·2,447,543篇论文数据,部分数据来源于NoteExpress
Her unique solution is not to get rid of wastewater and fecal sludge, but to value them.
她独特的解决办法不是排除废水,清理粪便和污泥,而是把这些东西重视起来。
Why risk a unique solution when the instructor has let it slip he likes the food business?
老师既然已经透露了他喜欢餐饮业,何苦去提独特的方案呢?
Results linear complementary problem have unique solution when m is generalized positive definite matrix.
结果得到了当m是广义正定矩阵时,线性互补问题存在唯一解。
Why? Bundle of properties: mechanical strength, chemical inertness, ease of fabrication: that's not a unique solution.
为什么,属性的总和:,机械强度,化学惰性,易于制造,那不是独特的解决方法。
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