Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Huang H +5 more
europepmc +1 more source
Generalized Clifford algebras and L-matrix hierarchy
openaire +3 more sources
Convergence properties of dynamic mode decomposition for analytic interval maps
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Eliminating the 'Impossible': Recent Progress on Local Measurement Theory for Quantum Field Theory. [PDF]
Papageorgiou M, Fraser D.
europepmc +1 more source
Dimer models and conformal structures
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
wiley +1 more source
Neuropathological contributions to grey matter atrophy and white matter hyperintensities in amnestic dementia. [PDF]
Ortega-Cruz D, Rabano A, Strange BA.
europepmc +1 more source
Multithread Approximation: An OpenMP Constructor
ABSTRACT This study introduces an OpenMP construct designed to simplify and unify the integration of approximate computing techniques into shared‐memory parallel programs. Approximate Computing leverages the inherent error tolerance of many applications to trade computational accuracy for gains in performance and energy efficiency.
João Briganti de Oliveira +2 more
wiley +1 more source
Incorporating Scale Uncertainty into Differential Expression Analyses Using ALDEx2
Abstract Differential abundance or expression analyses are routinely performed on metagenomic, metatranscriptomic, and amplicon sequencing data. In such datasets, analysts usually have no information regarding the true scale (i.e., size) of the microbial community or sample under study, with inter‐sample differences in sequencing depth instead being ...
Scott J. Dos Santos, Gregory B. Gloor
wiley +1 more source

