MPI-AMRVAC 3.0: Updates to an open-source simulation framework

R Keppens, BP Braileanu, Y Zhou, W Ruan… - Astronomy & …, 2023 - aanda.org
Context. Computational astrophysics nowadays routinely combines grid-adaptive
capabilities with modern shock-capturing, high resolution spatio-temporal integration …

Relaxation exponential Rosenbrock-type methods for oscillatory Hamiltonian systems

D Li, X Li - SIAM Journal on Scientific Computing, 2023 - SIAM
It is challenging to numerically solve oscillatory Hamiltonian systems due to the stiffness of
the problems and the requirement of highly stable and energy-preserving schemes. The …

Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs

D Li, X Li, Z Zhang - Mathematics of Computation, 2023 - ams.org
Spatial discretizations of time-dependent partial differential equations usually result in a
large system of semi-linear and stiff ordinary differential equations. Taking the structures into …

Diagonally implicit Runge–Kutta methods for stiff ODEs

CA Kennedy, MH Carpenter - Applied Numerical Mathematics, 2019 - Elsevier
Based principally on a recent review of diagonally implicit Runge–Kutta (DIRK) methods
applied to stiff first-order ordinary differential equations (ODEs) by the present authors …

Higher-order additive Runge–Kutta schemes for ordinary differential equations

CA Kennedy, MH Carpenter - Applied numerical mathematics, 2019 - Elsevier
Two new implicit–explicit, additive Runge–Kutta (ARK 2) methods are given with fourth-and
fifth-order formal accuracies, respectively. Both combine explicit Runge–Kutta (ERK) …

Topology-Aware Matrix Partitioning Method for FPGA Real-Time Simulation of Power Electronics Systems

H Xu, J Zheng, Y Zeng, W Liu, F Zhao… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Field-programmable gate array (FPGA)-based real-time simulation serves as a powerful tool
for testing and validating power electronics system (PES). However, accurate real-time …

Semi‐implicit Lagrangian Voronoi approximation for the incompressible Navier–Stokes equations

O Kincl, I Peshkov, W Boscheri - International Journal for …, 2025 - Wiley Online Library
We introduce semi‐implicit Lagrangian Voronoi approximation (SILVA), a novel numerical
method for the solution of the incompressible Euler and Navier–Stokes equations, which …

Model order reduction for gas and energy networks

C Himpe, S Grundel, P Benner - Journal of Mathematics in Industry, 2021 - Springer
To counter the volatile nature of renewable energy sources, gas networks take a vital role.
But, to ensure fulfillment of contracts under these circumstances, a vast number of possible …

Contrast-independent partially explicit time discretizations for multiscale wave problems

ET Chung, Y Efendiev, WT Leung… - Journal of Computational …, 2022 - Elsevier
In this work, we design and investigate contrast-independent partially explicit time
discretizations for wave equations in heterogeneous high-contrast media. We consider …

Dynamics augmentation for high speed flying yacht hulls through PID control of foiling appendages

CL Amoroso, A Liverani, D Francia, A Ceruti - Ocean Engineering, 2021 - Elsevier
A numerical investigation is conducted in order to identify a PID control loop feedback
scheme able to return dynamics augmentation and superior seakeeping characteristics in …