The field of wave scattering and numerical methods is moving towards the development of more efficient and accurate algorithms for solving complex problems. Researchers are focusing on creating hybrid methods that combine different techniques to achieve better results. One of the key areas of research is the development of fast and parallelizable algorithms for solving wave equation problems. Another important area is the application of wave scattering models to inverse problems, such as detecting medium inhomogeneity. Noteworthy papers include: A fast algorithm for the wave equation using time-windowed Fourier projection, which introduces a new method for rapid evaluation of hyperbolic potentials. Regularized boundary integral equation methods for open-arc scattering problems in thermoelasticity, which develops novel boundary integral equation solvers for thermoelastic scattering by open-arcs.
Advances in Wave Scattering and Numerical Methods
Sources
Multi-patch/multiple-scattering frequency-time hybrid solver for interior and exterior wave equation problems
A direct PinT algorithm for higher-order nonlinear equations
Regularized boundary integral equation methods for open-arc scattering problems in thermoelasticity
On the detection of medium inhomogeneity by contrast agent: wave scattering models and numerical implementations
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions
Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation
A fast algorithm for the wave equation using time-windowed Fourier projection