6 papers
On Discrete-Time Approximations to Infinite Horizon Differential Games
Javier de Frutos, VÃctor Gatón, Julia Novo
In this paper we study a discrete-time semidiscretization and a fully discretization (discrete-time, discrete-state) of an infinite time horizon noncooperative -player different…
Optimal bounds for numerical approximations of finite horizon problems based on dynamic programming approach
Javier de Frutos, Julia Novo
In this paper we provide optimal bounds for fully discrete approximations to finite horizon problems via dynamic programming. We adapt the error analysis in \cite{nos} for the infi…
Optimal bounds for numerical approximations of infinite horizon problems based on dynamic programming approach
Javier de Frutos, Julia Novo
In this paper we get error bounds for fully discrete approximations of infinite horizon problems via the dynamic programming approach. It is well known that considering a time disc…
Error analysis of BDF schemes for the evolutionary incompressible Navier--Stokes equations
Bosco GarcÃa-Archilla, V. John, Julia Novo
Error bounds for fully discrete schemes for the evolutionary incompressible Navier--Stokes equations are derived in this paper. For the time integration we apply BDF- methods, $…
Optimal bounds for POD approximations of infinite horizon control problems based on time derivatives
Javier de Frutos, Bosco Garcia-Archilla, Julia Novo
In this paper we consider the numerical approximation of infinite horizon problems via the dynamic programming approach. The value function of the problem solves a Hamilton-Jacobi-…
Pointwise error bounds in POD methods without difference quotients
Bosco GarcÃa-Archilla, Julia Novo
In this paper we consider proper orthogonal decomposition (POD) methods that do not include difference quotients (DQs) of snapshots in the data set. The inclusion of DQs have been…