Results 11 to 20 of about 85,436 (135)

Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation

Advanced Physics Research, EarlyView.
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

A Guide to Bayesian Optimization in Bioprocess Engineering

Biotechnology and Bioengineering, EarlyView.
ABSTRACT Bayesian optimization has become widely popular across various experimental sciences due to its favorable attributes: it can handle noisy data, perform well with relatively small data sets, and provide adaptive suggestions for sequential experimentation.
Maximilian Siska, Emma Pajak, Katrin Rosenthal, Antonio del Rio Chanona, Eric von Lieres, Laura M. Helleckes   +5 more
wiley   +1 more source

Uniform Gas Flow Distribution into Several Partial Flows under Consideration of Closable Outlets

Chemie Ingenieur Technik, EarlyView.
The uniform distribution of a gas flow into several partial flows poses a challenge in various technical fields. This study presents a static flow distributor design that ensures an equal distribution of an inlet gas flow regardless of the flow rate and the number of open outlets.
Nikolas Schmidt, Markus Labus, Peter Wasserscheid, Stefan Will   +3 more
wiley   +1 more source

Learning hydrocracking reaction dynamics via neural ODEs: A data‐driven, gradient‐interpretable lumped modelling framework

The Canadian Journal of Chemical Engineering, EarlyView.
This work demonstrates the application of neural ordinary differential equations (neural ODEs) for learning hydrocracking reaction kinetics directly from data, achieving robust predictions under noise and sparsity while preserving mechanistic interpretability through gradient‐based analysis of temperature‐ and concentration‐dependent reaction rates ...
Souvik Ta, Lakshminarayanan Samavedham, Ajay K. Ray   +2 more
wiley   +1 more source

Quantum-to-Classical Correspondence and Hubbard-Stratonovich Dynamical Systems, a Lie-Algebraic Approach

, 2011
We propose a Lie-algebraic duality approach to analyze non-equilibrium evolution of closed dynamical systems and thermodynamics of interacting quantum lattice models (formulated in terms of Hubbard-Stratonovich dynamical systems).
A. Altland, A. Auerbach, A. Bulgac, A. Kapustin, A. Perelomov, D. D’Alessandro, E. Levi, H. Kleinert, H. Kleinert, J. Maldacena, L. Landau, M. C. Gutzwiller, M. Shapiroa, M. Wüstner, M. Y. Ivanov, R. Gilmore, R. Gilmore, S. Sachdev, Victor Galitski   +18 more
core   +1 more source

Subuniformity of harmonic mean p$$ p $$‐values

Canadian Journal of Statistics, EarlyView.
Abstract We obtain several inequalities on the generalized means of dependent p$$ p $$‐values. In particular, the weighted harmonic mean of p$$ p $$‐values is strictly subuniform under several dependence assumptions of p$$ p $$‐values, including independence, negative upper orthant dependence, the class of extremal mixture copulas, and some Clayton ...
Yuyu Chen, Ruodu Wang, Yuming Wang, Wenhao Zhu   +3 more
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

On existence of canonical $G$-bases

, 2017
We describe a general method for expanding a truncated G-iterative Hasse-Schmidt derivation, where G is an algebraic group.
Hoffmann, Daniel M.
core   +1 more source

Repeatability of Rapid Human Cardiac Phosphorus MRSI (31P‐MRSI) Using Concentric Ring Trajectory Readouts at 7 T

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose PCr/ATP ratio is determined at 7 T typically using Fourier‐transform based magnetic resonance spectroscopic imaging sequences (FT‐MRSI). These sequences require acquisition times longer than desirable for inclusion in cardiac clinical trials. Concentric ring trajectory (CRT‐MRSI) has been described as an accelerated alternative k‐space
Ferenc E. Mózes, William T. Clarke, Andrew Tyler, Jabrane Karkouri, Fabian Niess, Jack J. J. J. Miller, Christopher T. Rodgers, Wolfgang Bogner, Ladislav Valkovič   +8 more
wiley   +1 more source