134 citations · 770 across the 68 of their papers we have counts for
7 papers · 1 filter
Computing with B-series
David I. Ketcheson, Hendrik Ranocha
We present BSeries.jl, a Julia package for the computation and manipulation of B-series, which are a versatile theoretical tool for understanding and designing discretizations of d…
Maximum principle preserving space and time flux limiting for Diagonally Implicit Runge-Kutta discretizations of scalar convection-diffusion equations
Manuel Quezada de Luna, David I. Ketcheson
We provide a framework for high-order discretizations of nonlinear scalar convection-diffusion equations that satisfy a discrete maximum principle. The resulting schemes can have a…
A review of matrix SIR Arino epidemic models
Florin Avram, Rim Adenane, David I. Ketcheson
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain sub-class of compartmental models whose classes may be divide…
Positivity preservation of implicit discretizations of the advection equation
Yiannis Hadjimichael, David I. Ketcheson, Lajos Lóczi
We analyze, from the viewpoint of positivity preservation, certain discretizations of a fundamental partial differential equation, the one-dimensional advection equation with perio…
Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
Hendrik Ranocha, Lisandro Dalcin, Matteo Parsani +1
We develop error-control based time integration algorithms for compressible fluid dynamics (CFD) applications and show that they are efficient and robust in both the accuracy-limit…
Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump
David I. Ketcheson, Manuel Quezada de Luna
We investigate the numerical artifact known as a carbuncle, in the solution of the shallow water equations. We propose a new Riemann solver that is based on a local measure of the…
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…