A novel approach for the treatment of irregular ocean bottoms within the framework of the standard parabolic equation is proposed. The present technique is based on the immersed interface method originally developed by LeVeque and Li [SIAM J. Numer. Anal. 31(4), 1019–1044, (1994)]. It is intrinsically energy-conserving and allows to naturally handle generic range-dependent bathymetries, without requiring any additional specific numerical procedure. An illustration of its capabilities is provided by solving the well-known wedge problem.
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机译：提出了一种在标准抛物线方程框架内处理不规则海底的新方法。本技术基于最初由LeVeque和Li [SIAM J. Numer。肛门31（4），1019–1044，（1994）]。它本质上是节能的，并且可以自然地处理通用的，取决于范围的测深法，而无需任何其他特定的数值程序。通过解决众所周知的楔形问题提供了其功能的说明。
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