Toward a Mixed‐Precision ADI Method for Lyapunov Equations
ABSTRACT We apply mixed‐precision to the low‐rank Lyapunov ADI (LR‐ADI) by performing certain aspects of the algorithm in a lower working precision. Namely, we accumulate the overall solution, solve the linear systems comprising the ADI iteration, and store the inner low‐rank factors of the residuals in various combinations of IEEE 754 single and ...
Jonas Schulze, Jens Saak
wiley +1 more source
Quantum Exclusion Process driven by Brownian Motions in terms of quantum Bernoulli noises. [PDF]
Ren S, Zhang L.
europepmc +1 more source
Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems
ABSTRACT Additive overlapping Schwarz methods are iterative methods of the domain decomposition type for the solution of partial differential equations. Numerical and parallel scalability of these methods can be achieved by adding coarse levels. A successful coarse space, inspired by iterative substructuring, is the generalized Dryja–Smith–Widlund ...
Stephan Köhler, Oliver Rheinbach
wiley +1 more source
The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics. [PDF]
Gu Y, Wang J.
europepmc +1 more source
ABSTRACT The use of parametric model order reduction (pMOR) by matrix interpolation enables efficient simulation of large‐scale finite element (FE) models in multi‐query applications such as optimization and uncertainty quantification. In this method, high‐fidelity systems are sampled, individually reduced by projection‐based model order reduction, and
Sebastian Resch‐Schopper +1 more
wiley +1 more source
Interior Microstates and Black Hole Entropy. [PDF]
Sasieta M.
europepmc +1 more source
MARBLE: interpretable representations of neural population dynamics using geometric deep learning. [PDF]
Gosztolai A +4 more
europepmc +1 more source
Exact Ground State of Interacting Electrons in Magic Angle Graphene. [PDF]
Becker S, Lin L, Stubbs KD.
europepmc +1 more source
Computation of simple invariant solutions in fluid turbulence with the aid of deep learning. [PDF]
Page J.
europepmc +1 more source
Research on the Stability Model in Discrete Dynamical Systems with the Lorenz Attractor and the Kropotov-Pakhomov Neural Network. [PDF]
Gospodinova EA.
europepmc +1 more source

