The field of numerical analysis and acoustics is moving towards the development of more efficient and accurate methods for solving complex problems. Researchers are exploring new numerical techniques, such as filtered finite difference methods and resonance analysis, to tackle challenges in areas like inverse scattering and nonlinear dispersive partial differential equations. Additionally, there is a growing interest in the design and analysis of innovative acoustic devices, such as parametric array loudspeakers. Noteworthy papers in this area include:

• A paper presenting an efficient numerical algorithm for the inverse scattering problem of acoustic-elastic interaction with random periodic interfaces, which combines the Monte Carlo technique and the continuation method.
• A study on the design and analysis of a stepped plate parametric array loudspeaker, which utilizes a single Langevin-type ultrasonic transducer coupled with a flexural stepped plate to generate narrow-beam audible sound via nonlinear acoustic interaction.