Computational applications of extended SIR models: A review focused on airborne pandemics

T Lazebnik - Ecological Modelling, 2023 - Elsevier
Epidemiological-Mathematical models are powerful tools for estimating the course of a
pandemic and exploring different scenarios through pandemic intervention policies (PIPs) …

A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics

M Schlottke-Lakemper, AR Winters, H Ranocha… - Journal of …, 2021 - Elsevier
One of the challenges when simulating astrophysical flows with self-gravity is to compute the
gravitational forces. In contrast to the hyperbolic hydrodynamic equations, the gravity field is …

Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics

H Ranocha, L Dalcin, M Parsani… - … on Applied Mathematics …, 2022 - Springer
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-limited …

[HTML][HTML] Optimized explicit Runge–Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics

R Al Jahdali, L Dalcin, R Boukharfane… - … & Mathematics with …, 2022 - Elsevier
In compressible computational fluid dynamics, the step size of explicit time integration
schemes is often constrained by stability when high-order accurate spatial discretizations …

Perturbed Runge–Kutta methods for mixed precision applications

ZJ Grant - Journal of Scientific Computing, 2022 - Springer
In this work we consider a mixed precision approach to accelerate the implementation of
multi-stage methods. We show that Runge–Kutta methods can be designed so that certain …

NodePy: A package for the analysis of numerical ODE solvers

DI Ketcheson, H Ranocha, M Parsani, U Waheed… - 2020 - repository.kaust.edu.sa
Ordinary differential equations (ODEs) are used to model a vast range of physical and other
phenomena. They also arise in the discretization of partial differential equations. In most …

Pseudo-Energy-Preserving Explicit Runge-Kutta Methods

GAB de León, DI Ketcheson, H Ranocha - arXiv preprint arXiv:2407.15365, 2024 - arxiv.org
Using a recent characterization of energy-preserving B-series, we derive the explicit
conditions on the coefficients of a Runge-Kutta method that ensure energy preservation (for …

Optimized Explicit Runge-Kutta Schemes for Entropy Stable Discontinuous Collocated Methods Applied to the Euler and Navier–Stokes equations

R Al Jahdali, R Boukharfane, L Dalcin… - AIAA Scitech 2021 …, 2021 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2021-0633. vid In this work, we design a
new set of optimized explicit Runge--Kutta schemes for the integration of systems of ordinary …