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Recent advances in Fourier-based computational approaches for PDEs

  1. We present a fast high-order scheme for the numerical solution of a volume-surface integro-differential equation. Such equations arise in problems of scattering of time-harmonic acoustic and electromagnetic wa...

    Authors: Jagabandhu Paul, Ambuj Pandey, B. V. Rathish Kumar and Akash Anand
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2024 11:2
  2. Solving multiphysics-based inverse problems for geological carbon storage monitoring can be challenging when multimodal time-lapse data are expensive to collect and costly to simulate numerically. We overcome ...

    Authors: Ziyi Yin, Rafael Orozco, Mathias Louboutin and Felix J. Herrmann
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2023 10:14
  3. The multiscale evaluation method is applied to assess the influence of detailed geometric modeling of trees on their macroscopic attenuation effect against tsunami-like flow. Specifically, we conduct a series ...

    Authors: Reika Nomura, Shinsuke Takase, Shuji Moriguchi and Kenjiro Terada
    Citation: Advanced Modeling and Simulation in Engineering Sciences 2023 10:13