We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order reduction techniques are then applied to the resulting system of coupled ordinary differential equations. On computational examples including in particular the case of shock waves we show the validity of the approach and the performance of the reduced system.

中文翻译：

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双曲松弛系统的模型降阶

我们提出了一种双曲微分方程模型降阶的新框架。该方法将双曲方程的松弛公式与使用移位基函数的离散化相结合。然后将模型降阶技术应用于所得到的耦合常微分方程组。在计算示例中，特别是冲击波的情况，我们展示了该方法的有效性和简化系统的性能。