用变分同化方法确定最佳导数逼近
Identification of an Optimal Derivatives Approximation by Variational Data Assimilation
摘要：
在一维波动方程的框架下，讨论了变分同化技术在识别边界附近导数最佳逼近中的应用。方程和数值格式的简单性使我们能够详细讨论伴随模式和同化结果的发展。它示出了什么样的错误可以通过这种控制和如何纠正这些错误。这项研究是在使用这种控制，以确定最佳的数值方案在沿海地区的海洋模式。
英文摘要：
Variational data assimilation technique applied to identification of optimal approximations of derivatives near boundary is discussed in frames of one-dimensional wave equation. Simplicity of the equation and of its numerical scheme allows us to discuss in detail as the development of the adjoint model and assimilation results. It is shown what kind of errors can be corrected by this control and how these errors are corrected. This study is carried out in view of using this control to identify optimal numerical schemes in coastal regions of ocean models.
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