3 papers
math.NA2026
A structure-preserving implicit-explicit method for a hyperbolic approximation of fourth-order PDEs
Rahul Barthwal, Rahuldev Ghorai
We introduce a novel structure-preserving numerical method for a first-order hyperbolic approximation system, which approximates the solutions of general fourth-order partial diffe…
math.NA2025
A Structure-Preserving Scheme for the Euler System with Potential Temperature Transport
K. R. Arun, Rahuldev Ghorai
We consider the compressible Euler equations with potential temperature transport, a system widely used in atmospheric modelling to describe adiabatic, inviscid flows. In the low M…
math.NA2024
An Energy Stable and Well-balanced Scheme for the Ripa System
K. R. Arun, Rahuldev Ghorai
We design and analyse an energy stable, structure preserving and well-balanced scheme for the Ripa system of shallow water equations. The energy stability of the numerical solution…