Results 41 to 50 of about 341,603 (246)

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, EarlyView.
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, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, EarlyView.
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, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

Review and prospects of shear test of bolted rock joints

Deep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren, Fan Yang, Manchao He, Yong Yuan, Zhigang Tao   +4 more
wiley   +1 more source

ANALYZING STUDENTS' ABILITIES AS PROSPECTIVE TEACHERS OF MATHEMATICS IN CONSTRUCTING PROOFS: A STUDY OF GEOMETRY AND ALGEBRA [PDF]

, 2023
Soffil Widadah, Dwi Juniati
openalex   +1 more source

Numerical Investigation of Turbulent Mixed Convection Between Coaxial Cylinders and the Inner Rotating Cylinder With Axial Flow

Energy Science &Engineering, EarlyView.
ABSTRACT The turbulent flow between coaxial cylinders, particularly when the inner cylinder is rotating, exhibits complex hydrodynamic and heat transfer behaviors critical for various engineering applications. Although many previous studies have simplified these systems with idealized assumptions, real‐world scenarios involve mixed convection and ...
Tohid Adibi, Seyed Esmail Razavi, Shams Forruque Ahmed, Parvaneh Alizadeh Bonab, J. C. Debnath, Hammad Alotaibi   +5 more
wiley   +1 more source

Magneto‐Hydrothermal and Entropy Analysis of Double‐Diffusive Convection in a Nano‐Encapsulated PCM‐Suspended Elliptical Pipes Thermal Storage Tank: Impact of Exothermic Reaction

Energy Science &Engineering, EarlyView.
ABSTRACT PCMs store thermal energy during phase transitions without temperature changes, making them valuable for various thermal applications. When direct PCM use isn't practical, researchers have developed encapsulation methods as an alternative approach.
Mohammed Azeez Alomari, Ahmed M. Hassan, Abdellatif M. Sadeq, Faris Alqurashi, Mujtaba A. Flayyih   +4 more
wiley   +1 more source

A Method Combining Model Optimization Algorithm and Grey Relational Analysis for Analyzing Factors Affecting Photovoltaic Cell Output Characteristics

Energy Science &Engineering, EarlyView.
For output power, light intensity has the highest correlation, indicating that light intensity is the most sensitive factor affecting the output power of PV cells, and its changes have the most significant impact on output power. The change in temperature will lead to changes in the concentration and mobility of carrier inside the battery, which will ...
Biying Zhou, Peng Zhang
wiley   +1 more source

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, EarlyView.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion

International Journal for Numerical Methods in Fluids, EarlyView.
Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras, Hervé Guillard, Boniface Nkonga, Francesca Rapetti   +3 more
wiley   +1 more source