[EN] We consider the numerical integration of the Gross-Pitaevskii equation with a potential trap given by a time-dependent harmonic potential or a small perturbation thereof. Splitting methods are frequently used with ...
Seydaoglu, Muaz(Universitat Politècnica de València, 2016-10-07)
[EN] This thesis addresses the treatment of perturbed problems with splitting methods. After motivating these problems in Chapter 1, we give a thorough introduction in Chapter 2, which includes the objectives, several basic ...
Bader, Philipp; Blanes Zamora, Sergio; Seydaoglu, Muaz(Society for Industrial and Applied Mathematics, 2015)
[EN] We propose splitting methods for the computation of the exponential of perturbed matrices which can be written as the sum A = D+epsilon B of a sparse and efficiently exponentiable matrix D with sparse exponential e(D) ...