Results 211 to 220 of about 935 (254)

Toward a Mixed‐Precision ADI Method for Lyapunov Equations

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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

Monolithic Multi‐Level Overlapping Schwarz Preconditioners for Fluid Problems

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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

Comparison of A‐Posteriori Error Estimators in the Context of Parametric Model Order Reduction by Matrix Interpolation

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
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

MARBLE: interpretable representations of neural population dynamics using geometric deep learning. [PDF]

open access: yesNat Methods
Gosztolai A   +4 more
europepmc   +1 more source

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