19 citations · 19 across the 2 of their papers we have counts for
15 papers
Bridging HPC Communities through the Julia Programming Language
Valentin Churavy, William F Godoy, Carsten Bauer +9
The Julia programming language has evolved into a modern alternative to fill existing gaps in scientific computing and data science applications. Julia leverages a unified and coor…
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows
Jesse Chan, Hendrik Ranocha, Andres Rueda-Ramirez +2
High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can…
On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations
Hendrik Ranocha, Manuel Quezada de Luna, David I. Ketcheson
We study the numerical error in solitary wave solutions of nonlinear dispersive wave equations. A number of existing results for discretizations of solitary wave solutions of parti…
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts
Philippe G. LeFloch, Hendrik Ranocha
We study nonlinear hyperbolic conservation laws with non-convex flux in one space dimension and, for a broad class of numerical methods based on summation by parts operators, we co…
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
We develop a general framework for designing conservative numerical methods based on summation by parts operators and split forms in space, combined with relaxation Runge-Kutta met…
Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL
Philip Heinisch, Katharina Ostaszewski, Hendrik Ranocha
When considering different hardware platforms, not just the time-to-solution can be of importance but also the energy necessary to reach it. This is not only the case with battery…