4 papers · 1 filter
Constrained Optimal Polynomials for Quantum Linear System Solvers
Matthias Deiml, Daniel Peterseim
Quantum linear system solvers typically realize the inverse map as a polynomial transformation of the spectrum, so their practical cost hinges on implementing this transformation a…
Quantum Enhanced Numerical Homogenization
Loïc Balazi, Matthias Deiml, Daniel Peterseim
We propose a numerical homogenization method for scalar linear partial differential equations with rough coefficients that integrates classical coarse-scale solvers with quantum su…
A second-order iterative time integration scheme for linear poroelasticity
R. Altmann, M. Deiml
We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme wi…
A novel iterative time integration scheme for linear poroelasticity
R. Altmann, M. Deiml
Within this paper, we introduce and analyze a novel time stepping scheme for linear poroelasticity. In each time frame, we iteratively solve the flow and mechanics equations with a…