On the Accuracy and Stability of the Perfectly Matched Layer in Transient Waveguides. - Kenneth Duru; Gunilla Kreiss (J. Sci. Comput., 2012)

A perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media. - Kenneth Duru (J. Comput. Phys., 2014)

Stable and high order accurate difference methods for the elastic wave equation in discontinuous media. - Kenneth Duru; Kristoffer Virta (J. Comput. Phys., 2014)

Boundary Waves and Stability of the Perfectly Matched Layer for the Two Space Dimensional Elastic Wave Equation in Second Order Form. - Kenneth Duru; Gunilla Kreiss (SIAM J. Numer. Anal., 2014)

Stable and High-Order Accurate Boundary Treatments for the Elastic Wave Equation on Second-Order Form. - Kenneth Duru; Gunilla Kreiss; Ken Mattsson (SIAM J. Sci. Comput., 2014)

Boundary conditions and stability of a perfectly matched layer for the elastic wave equation in first order form. - Kenneth Duru; Jeremy E. Kozdon; Gunilla Kreiss (J. Comput. Phys., 2015)

Dynamic earthquake rupture simulations on nonplanar faults embedded in 3D geometrically complex, heterogeneous elastic solids. - Kenneth Duru; Eric M. Dunham (J. Comput. Phys., 2016)

The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers. - Kenneth Duru (SIAM J. Sci. Comput., 2016)

A stable discontinuous Galerkin method for linear elastodynamics in geometrically complex media using physics based numerical fluxes. - Kenneth Duru; Leonhard Rannabauer; On Ki Angel Ling; Alice-Agnes Gabriel; Heiner Igel; Michael Bader (CoRR, 2019)

A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form. - Kenneth Duru; Leonhard Rannabauer; Alice-Agnes Gabriel; Gunilla Kreiss (CoRR, 2019)

Upwind Summation By Parts Finite Difference Methods for Large Scale Elastic Wave Simulations In Complex Geometries. - Kenneth Duru; Frederick Fung; Christopher Williams (CoRR, 2020)

ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems. - Anne Reinarz; Dominic Etienne Charrier; Michael Bader; Luke Bovard; Michael Dumbser; Kenneth Duru; Francesco Fambri; Alice-Agnes Gabriel; Jean-Matthieu Gallard; Sven Köppel; Lukas Krenz; Leonhard Rannabauer; et al. (Comput. Phys. Commun., 2020)

A stable discontinuous Galerkin method for the perfectly matched layer for elastodynamics in first order form. - Kenneth Duru; Leonhard Rannabauer; Alice-Agnes Gabriel; Gunilla Kreiss; Michael Bader (Numerische Mathematik, 2020)

Provably Stable Full-Spectrum Dispersion Relation Preserving Schemes. - Christopher Williams; Kenneth Duru (CoRR, 2021)

A New Discontinuous Galerkin Method for Elastic Waves with Physically Motivated Numerical Fluxes. - Kenneth Duru; Leonhard Rannabauer; Alice-Agnes Gabriel; Heiner Igel (J. Sci. Comput., 2021)

The perfectly matched layer (PML) for hyperbolic wave propagation problems: A review. - Kenneth Duru; Gunilla Kreiss (CoRR, 2022)

On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers. - Gustav Ludvigsson; Kenneth Duru; Gunilla Kreiss (CoRR, 2022)

Accurate simulations of nonlinear dynamic shear ruptures on pre-existing faults in 3D elastic solids with dual-pairing SBP methods. - Kenneth Duru; Christopher Williams; Frederick Fung (CoRR, 2022)

Stability analysis of the perfectly matched layer for the elastic wave equation in layered media. - Kenneth Duru; Siyang Wang 003 (CoRR, 2022)

Dual-pairing summation by parts finite difference methods for large scale elastic wave simulations in 3D complex geometries. - Kenneth Duru; Frederick Fung; Christopher Williams (J. Comput. Phys., 2022)

A Conservative and Energy Stable Discontinuous Spectral Element Method for the Shifted Wave Equation in Second Order Form. - Kenneth Duru; Siyang Wang 003; Kenny Wiratama (SIAM J. Numer. Anal., 2022)

An energy stable discontinuous Galerkin spectral element method for the linearized Serre equations. - Kenny Wiratama; Kenneth Duru; Stephen Roberts; Christopher Zoppou (CoRR, 2023)

An efficient method for the anisotropic diffusion equation in magnetic fields. - Dean Muir; Kenneth Duru; Matthew Hole; Stuart R. Hudson (CoRR, 2023)

Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations. - Kieran Ricardo; David Lee; Kenneth Duru (CoRR, 2023)

Provably stable numerical method for the anisotropic diffusion equation in toroidally confined magnetic fields. - Dean Muir; Kenneth Duru; Matthew Hole; Stuart R. Hudson (CoRR, 2023)

On well-posed boundary conditions and energy stable finite volume method for the linear shallow water wave equation. - Rudi Prihandoko; Kenneth Duru; Stephen Roberts; Christopher Zoppou (CoRR, 2023)

Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations - I: numerical scheme and validation. - Justin Kin Jun Hew; Kenneth Duru; Stephen Roberts; Christopher Zoppou (CoRR, 2023)

A dual-pairing summation-by-parts finite difference framework for nonlinear conservation laws. - Kenneth Duru; Dougal Stewart; Nathan Lee (CoRR, 2024)

Thermodynamic consistency and structure-preservation in summation by parts methods for the moist compressible Euler equations. - Kieran Ricardo; David Lee; Kenneth Duru (CoRR, 2024)

Full-Spectrum Dispersion Relation Preserving Summation-by-Parts Operators. - Christopher Williams; Kenneth Duru (SIAM J. Numer. Anal., 2024)

An Entropy Stable Discontinuous Galerkin Method for the Spherical Thermal Shallow Water Equations. - Kieran Ricardo; Kenneth Duru; David Lee (SIAM J. Sci. Comput., 2024)

Entropy and energy conservation for thermal atmospheric dynamics using mixed compatible finite elements. - Kieran Ricardo; David Lee; Kenneth Duru (J. Comput. Phys., 2024)

Conservation and stability in a discontinuous Galerkin method for the vector invariant spherical shallow water equations. - Kieran Ricardo; Dave Lee; Kenneth Duru (J. Comput. Phys., 2024)

A provably stable numerical method for the anisotropic diffusion equation in confined magnetic fields. - Dean Muir; Kenneth Duru; Matthew Hole; Stuart R. Hudson (Comput. Phys. Commun., 2025)

On the stability analysis of the perfectly matched layer for the elastic wave equation in layered media. - Kenneth Duru; Balaje Kalyanaraman; Siyang Wang (J. Comput. Phys., 2025)

Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations - I: Numerical scheme and validation on the plane. - Justin Kin Jun Hew; Kenneth Duru; Stephen Roberts; Christopher Zoppou; Kieran Ricardo (J. Comput. Phys., 2025)

Scalable ADER-DG Transport Method with Polynomial Order Independent CFL Limit. - Kieran Ricardo; Kenneth Duru (CoRR, 2025)