2 citations · 3 across the 3 of their papers we have counts for
5 papers
Optimal design for kernel interpolation: applications to uncertainty quantification
Akil Narayan, Liang Yan, Tao Zhou
The paper is concerned with classic kernel interpolation methods, in addition to approximation methods that are augmented by gradient measurements. To apply kernel interpolation us…
A new discrete energy technique for multi-step backward difference formulas
Honglin Liao, Tao Tang, Tao Zhou
The backward differentiation formula (BDF) is a useful family of implicit methods for the numerical integration of stiff differential equations. It is well noticed that the stabili…
Stability implies robust convergence of a class of preconditioned parallel-in-time iterative algorithms
Shu-Lin Wu, Tao Zhou, Zhi Zhou
Solving evolutionary equations in a parallel-in-time manner is an attractive topic and many algorithms are proposed in recent two decades. The algorithm based on the block -circ…
ParaDiag: parallel-in-time algorithms based on the diagonalization technique
Martin J. Gander, Jun Liu, Shu-Lin Wu +2
In 2008, Maday and Ronquist introduced an interesting new approach for the direct parallel-in-time (PinT) solution of time-dependent PDEs. The idea is to diagonalize the time stepp…
On energy dissipation theory and numerical stability for time-fractional phase field equations
Tao Tang, Haijun Yu, Tao Zhou
For the time-fractional phase field models, the corresponding energy dissipation law has not been settled on both the continuous level and the discrete level. In this work, we shal…