标题： MOR-T L：一种用于参数化问题的新型模型降阶方法及其在地震波传播中的应用 显示英文标题

标题： MOR-T L : A Novel Model Order Reduction Method for Parametrized Problems with Application to Seismic Wave Propagation

摘要： 本文提出了一种高效的策略，用于使用泰勒多项式展开和针对模型参数的弗雷歇导数构建约化基。所提出的这种方法能够在最小的额外计算成本下构建约化基。通过利用弗雷歇导数——即具有不同右端项的问题解——该方法引入了一种简化的多右端项策略来构建约化基。这种方法不仅减少了整体计算开销，还在模型参数更新过程中提高了准确性。二维波动问题上的数值实验展示了显著的效率提升和性能增强，突显了该方法在提高计算成本效益方面的潜力，特别是在地震反演应用中。 显示英文摘要

摘要： This paper presents an efficient strategy for constructing Reduced-Order Model (ROM) bases using Taylor polynomial expansions and Fr{\'e}chet derivatives with respect to model parameters. The proposed approach enables the construction of ROM bases with minimal additional computational cost. By exploiting Fr{\'e}chet derivatives -solution to the same problem with distinct right-hand sides -the method introduces a streamlined multiple-right-hand-side (RHS) strategy for ROM bases construction. This approach not only reduces overall computational expenses but also improves accuracy during model parameter updates. Numerical experiments on a two-dimensional wave problem demonstrate significant efficiency gains and enhanced performance, highlighting the potential of the proposed method to advance computational cost-effectiveness, particularly in seismic inversion applications.