3 papers
math.NA2026
A space-time dual-pairing summation-by-parts framework for forward and adjoint wave equations
Kenny Wiratama, Kenneth Duru, Yunho Kim
In this paper, we propose the first of its kind space-time dual-pairing summation by parts (DP-SBP) numerical framework for forward and adjoint wave propagation problems. This nove…
math.NA2023
Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations
Kenny Wiratama, Kenneth Duru, Stephen Roberts +1
We derive well-posed boundary conditions for the linearized Serre equations in one spatial dimension by utilizing the energy method. An energy stable and conservative discontinuous…
math.NA2021
A conservative and energy stable discontinuous spectral element method for the shifted wave equation in second order form
Kenneth Duru, Siyang Wang, Kenny Wiratama
In this paper, we develop a provably energy stable and conservative discontinuous spectral element method for the shifted wave equation in second order form. The proposed method co…