3 papers
physics.comp-ph2025
Iterative Born Solver for the Acoustic Helmholtz Equation with Heterogeneous Sound Speed and Density
Antonio Stanziola, Simon R. Arridge, Bradley E. Treeby +1
Efficient numerical solution of the acoustic Helmholtz equation in heterogeneous media remains challenging, particularly for large-scale problems with spatially-varying density - a…
math.NA2025
Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation
Matthew J. King, B. E. Treeby, B. T. Cox
Non-uniform time stepping in acoustic propagation models can be used to preserve accuracy or reduce computational cost for an acoustic simulation with a wave front propagating thro…
physics.med-ph2024
Modelling power-law ultrasound absorption using a time-fractional, static memory, Fourier pseudo-spectral method
Matthew. J. King, Timon. S. Gutleb, B. E. Treeby +1
We describe and implement a numerical method for modelling the frequency-dependent power-law absorption of ultrasound in tissue, as governed by the first order linear wave equation…