Results 51 to 60 of about 3,666 (171)

Corrected Fourier series and its application to function approximation

International Journal of Mathematics and Mathematical Sciences, 2005
Any quasismooth function f(x) in a finite interval [0,x0], which has only a finite number of finite discontinuities and has only a finite number of extremes, can be approximated by a uniformly convergent Fourier series and a correction function.
Qing-Hua Zhang, Shuiming Chen, Yuanyuan Qu   +2 more
doaj   +1 more source

Numerical simulation study on the evolution of the temperature field and frozen wall in fractured rock mass

Deep Underground Science and Engineering, EarlyView.
The evolution of the temperature field and frozen wall under different fracture conditions was examined by an artificial ground freezing‐based thermal‐hydraulic coupled model. It was observed that fracture inclination affects the interaction extent of freezing pipes and fracture, while phase transition extent is the dominant factor for heat transfer in
Chenyi Zhang, Tingting Luo, Tao Zhang, Tao Han, Xiaodong Zhao, Haipeng Li, Yanfei Ma, Faxing Zhang, Madhusudhan Bangalore Narasimha Murthy, Weihao Yang   +9 more
wiley   +1 more source

Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads

Communications, 2012
Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
doaj   +1 more source

Monolithic Framework to Simulate Fluid‐Structure Interaction Problems Using Geometric Volume‐of‐Fluid Method

International Journal for Numerical Methods in Fluids, EarlyView.
A three‐dimensional fluid‐structure interaction (FSI) framework is developed using the geometric volume‐of‐fluid (VOF) interface capturing method and applied to assess largescale turbulent FSI interactions. The monolithic FSI framework is extensively validated, and despite the discontinuities across the interface, the FSI framework delivers stable and ...
Soham Prajapati, Ali Fakhreddine, Krishnan Mahesh   +2 more
wiley   +1 more source

Efficient First‐Principles Inverse Design of Nanolasers

Laser &Photonics Reviews, EarlyView.
This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch, Alexander Cerjan, Rasmus Ellebæk Christiansen, Jesper Mørk, Ole Sigmund, Steven G. Johnson   +5 more
wiley   +1 more source

APPROXIMATING MATHEMATICAL MODEL DEVELOPMENT ACCORDING TO POINT EXPERIMENTAL DATA THROUGH “CUT-GLUE” METHOD

Advanced Engineering Research, 2014
A solution to the problem on describing experimentally obtained dependences is considered. The autho r’s method is based upon getting some local approximations of fragments of these relations, and their additive reduction to a single analytical ...
Rudolf Anatolyevich Neydorf
doaj   +1 more source

Proposed standardized definitions for vertical resolution and uncertainty in the NDACC lidar ozone and temperature algorithms – Part 1: Vertical resolution [PDF]

Atmospheric Measurement Techniques, 2016
A standardized approach for the definition and reporting of vertical resolution of the ozone and temperature lidar profiles contributing to the Network for the Detection for Atmospheric Composition Change (NDACC) database is proposed.
T. Leblanc, R. J. Sica, J. A. E. van Gijsel, S. Godin-Beekmann, A. Haefele, T. Trickl, G. Payen, F. Gabarrot   +7 more
doaj   +1 more source

Bayesian Optimization of Grayscale Patterns for Layer‐Height Accuracy in Projection Multi‐Photon 3D Printing

Laser &Photonics Reviews, EarlyView.
Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
wiley   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source