2 papers
math.NA2025
The structural method for Ordinary Differential Equations
S. Clain, M. T. Malheiro, G. J. Machado +1
We design and analyse a new numerical method to solve ODE system based on the structural method. We compute approximations of solutions together with its derivatives up to order $K…
math-ph2025
Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries
Ricardo Costa, Stéphane Clain, Gaspar J. Machado +1
Conventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this con…