3 papers
math.NA2019
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov, Martin Stoll
Differential algebraic Riccati equations are at the heart of many applications in control theory. They are time-depent, matrix-valued, and in particular nonlinear equations that re…
quant-ph2019
Parallel time-dependent variational principle algorithm for matrix product states
Paul Secular, Nikita Gourianov, Michael Lubasch +3
Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group…
math.NA2019
Guaranteed a posteriori error bounds for low rank tensor approximate solutions
Sergey Dolgov, Tomáš Vejchodský
We propose a guaranteed and fully computable upper bound on the energy norm of the error in low-rank Tensor Train (TT) approximate solutions of (possibly) high dimensional reaction…