57 citations · 60 across the 6 of their papers we have counts for
7 papers
The Stochastic TR-BDF2 Scheme of Order 2
Tomás Caraballo, Macarena Gómez-Mármol, Ignacio Roldán
Our main objective in this paper is to develop a second-order stochastic numerical method which generalizes the well-known deterministic TR-BDF2 scheme. Since most stochastic techn…
Multi-rate Runge-Kutta methods: stability analysis and applications
Bernhard Bachmann, Luca Bonaventura, Francesco Casella +3
We present an approach for the efficient implementation of self-adjusting multi-rate Runge-Kutta methods and we introduce a novel stability analysis, that covers the multi-rate ext…
The TR-BDF2 method for second order problems in structural mechanics
L. Bonaventura, M. Gomez Marmol
The application of the TR-BDF2 method to second order problems typical of structural mechanics and seismic engineering is discussed. A reformulation of this method is presented, th…
Certified Reduced Basis VMS-Smagorinsky model for natural convection flow in a cavity with variable height
Francesco Ballarin, Tomás Chacón Rebollo, Enrique Delgado Ávila +2
In this work we present a Reduced Basis VMS-Smagorinsky Boussinesq model, applied to natural convection problems in a variable height cavity, in which the buoyancy forces are invol…
On a certified Smagorinsky reduced basis turbulence model
Tomás Chacón Rebollo, Enrique Delgado Ávila, Macarena Gómez Mármol +2
In this work we present a reduced basis Smagorinsky turbulence model for steady flows. We approximate the non-linear eddy diffusion term using the Empirical Interpolation Method, a…
A comparison of three turbulence models with an application to the West Pacific Warm Pool
Anne-Claire Bennis, Macarena Gomez Marmol, Roger Lewandowski +2
In this work, we compare three turbulence models used to parameterize the oceanic boundary layer. These three models depend on the bulk Richardson number, which is coherent with th…
Stability of some turbulent vertical models for the ocean mixing boundary layer
Anne-Claire Bennis, Tomás Chacón Rebollo, Macarena Gomez Marmol +1
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the…