3 citations · 3 across the 3 of their papers we have counts for
4 papers
Fast and high-order approximation of parabolic equations using hierarchical direct solvers and implicit Runge-Kutta methods
Ke Chen, Daniel Appelö, Tracy Babb +1
An additive Runge-Kutta method is used for the time stepping, which integrates the linear stiff terms by an explicit singly diagonally implicit Runge-Kutta (ESDIRK) method and the…
HPS Accelerated Spectral Solvers for Time Dependent Problems
Tracy Babb, Per-Gunnar Martinsson, Daniel Appelo
A high-order convergent numerical method for solving linear and non-linear parabolic PDEs is presented. The time-stepping is done via an explicit, singly diagonally implicit Runge-…
An accelerated Poisson solver based on multidomain spectral discretization
Tracy Babb, Adrianna Gillman, Sijia Hao +1
This paper presents a numerical method for variable coefficient elliptic PDEs with mostly smooth solutions on two dimensional domains. The PDE is discretized via a multi-domain spe…
A high-order scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator
T. S. Haut, T. Babb, P. G. Martinsson +1
The manuscript presents a new technique for computing the exponential of skew-Hermitian operators. Principal advantages of the proposed method include: stability even for large tim…