119 citations · 791 across the 52 of their papers we have counts for
3 papers · 1 filter
Greedy algorithms for high-dimensional non-symmetric linear problems
Eric Cances, Virginie Ehrlacher, Tony Lelievre
In this article, we present a family of numerical approaches to solve high-dimensional linear non-symmetric problems. The principle of these methods is to approximate a function wh…
Non-consistent approximations of self-adjoint eigenproblems: Application to the supercell method
Eric Cancès, Virginie Ehrlacher, Yvon Maday
In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular…
Convergence of a greedy algorithm for high-dimensional convex nonlinear problems
Eric Cances, Virginie Ehrlacher, Tony Lelievre
In this article, we present a greedy algorithm based on a tensor product decomposition, whose aim is to compute the global minimum of a strongly convex energy functional. We prove…