New implicit and implicit-explicit time-stepping methods for the wave equation in second- order form are described with application to two and three-dimensional problems discretized …
F Vismara, T Benacchio - International Journal for Numerical …, 2024 - Wiley Online Library
We introduce an extended discontinuous Galerkin discretization of hyperbolic–parabolic problems on multidimensional semi‐infinite domains. Building on previous work on the one …
FF Smith, S Tsynkov, E Turkel - Spectral and High Order Methods for …, 2022 - Springer
We solve the 3D acoustic wave equation with variable propagation speed in an unbounded domain with fourth order accuracy in time and space. The unbounded domain is truncated …
In this work we develop several high order compact schemes for solving the three dimensional acoustic wave equation with variable speed of sound. We consider when the …
The magnetohydrodynamic (MHD) flow equations with mixed-type boundary conditions, which are presented in this thesis as modified Helmholtz equations, are numerically solved …